sr!com.femlab.server.ModelFileHeaderD%LtagstLcom/femlab/util/FlStringList;Ltypesq~LvrsntLcom/femlab/util/FlVersion;xpwsrcom.femlab.util.FlVersion%/B =IbuildImajorLdatetLjava/lang/String;Lextq~Lnameq~Lrcsq~L reactionExtq~L reactionNameq~xpwtq~t#COMSOL Reaction Engineering Lab 3.5tat COMSOL 3.5q~ w`t$Name: v35ap $t$Date: 2009/05/11 07:38:49 $xur[Ljava.lang.String;V{Gxpt modelinfotxfemtguitfem0tfem1tg8tfem182tfem182.0q~q~tfem219tfem219.0q~q~tfem190tfem190.0q~q~t mfileinfouq~ q~t femstructt guistructq~q~tdrawtgeomtmeshtsolutiontxmeshq~ q~!q~"q~#q~ q~!q~"q~#q~xsrcom.femlab.api.client.ModelInfo^%Ldescrq~LdocURLq~[imaget[Bxpwpppxuq~ t` COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 36 geom on on off on on on on 0.1 t Electrostatics axi {"V"} {"r","phi","z"} Voltage {"shlag(2,'V')"} 4 2 2 off _Voltage Lag2 V ref off {"lm1"} ideal 0 Q 0 {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} {"0","0"} {"0","0"} {"0","0"} {"0","0"} 0 0 Vapp 0 Vapp nD0 V V0 nD0 1 1 {1,1,1,1,1,4,2,2,2,2,4,1,1,1,1,1,3,3,1,2,3,2,1,3} 1 1 1 {"1e-8*(r-z)"} 1 {"2.2","0","0","2.2"} epsr

{"0","0"}

{"0","0"} 0 {1}
8.854187817e-12
FlConvDiff axi {"qp"} {"r","phi","z"} positive {"shlag(2,'qp')"} 4 2 2 off _positive Lag2 time cons ref off {"lm3"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"GF2-Rpn-Rpe"} {"1"} {"Vp_r"} {"Vp_z"} {"0"} {"0.5"} {"1"} {"pgc"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qe"} {"r","phi","z"} electron {"shlag(2,'qe')"} 4 2 2 off _electron Lag2 time cons ref off {"lm2"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-GF2+Rpe+EA"} {"1"} {"Ve_r"} {"Ve_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qn"} {"r","phi","z"} negative {"shlag(2,'qn')"} 4 2 2 off _negative Lag2 time cons ref off {"lm4"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-EA+Rpn"} {"1"} {"Vn_r"} {"Vn_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvCond axi {"T"} {"r","phi","z"} temperature {"shlag(2,'T')"} 4 2 2 off _temperature Lag2 time ref off {"lm5"} ideal 0 273.15 0 1 q0 {} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 1 1 1 {"273.15"} 1 0.138 {"0.025","0","0","0.025"} iso 1 890 1 (qp-qn-qe*muend)*(normE_Voltage^2) 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 scalar 0 0.01[K]/helem_T_temperature 1 {} {1} {"r","z"} {"ref"} {"shlag(2,'V')","shlag(2,'qp')","shlag(2,'qe')","shlag(2,'qn')","shlag(2,'T')"} 4 2 2 on 1 general
general
SI {"0","0","0","0","0"} 1 1 1 1 1 {1} 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 {"1e-008*(r-z)","0","0","0","273.15"} {"0","0","0","0","0"} 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{"0","(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps))*(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)>0)*(beta_qp_r_positive*qpr_test+beta_qp_z_positive*qpz_test)*da_qp_positive*qpt","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vz)"} {"-d(-r*k_T_temperature*Tr,Vr)","-d(-r*k_T_temperature*Tz,Vr)","-d(-r*k_T_temperature*Tr,Vz)","-d(-r*k_T_temperature*Tz,Vz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpz)"} {"-d(-r*k_T_temperature*Tr,qpr)","-d(-r*k_T_temperature*Tz,qpr)","-d(-r*k_T_temperature*Tr,qpz)","-d(-r*k_T_temperature*Tz,qpz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qer)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qer)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qez)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qez)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qer)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qer)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qez)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qez)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qer)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qer)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qez)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qez)"} {"-d(-r*k_T_temperature*Tr,qer)","-d(-r*k_T_temperature*Tz,qer)","-d(-r*k_T_temperature*Tr,qez)","-d(-r*k_T_temperature*Tz,qez)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnz)"} {"-d(-r*k_T_temperature*Tr,qnr)","-d(-r*k_T_temperature*Tz,qnr)","-d(-r*k_T_temperature*Tr,qnz)","-d(-r*k_T_temperature*Tz,qnz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tz)"} {"-d(-r*k_T_temperature*Tr,Tr)","-d(-r*k_T_temperature*Tz,Tr)","-d(-r*k_T_temperature*Tr,Tz)","-d(-r*k_T_temperature*Tz,Tz)"} {"0","-d(r*R_qp_positive,V)","-d(r*R_qe_electron,V)","-d(r*R_qn_negative,V)","-d(r*Q_temperature,V)","0","-d(r*R_qp_positive,qp)","-d(r*R_qe_electron,qp)","-d(r*R_qn_negative,qp)","-d(r*Q_temperature,qp)","0","-d(r*R_qp_positive,qe)","-d(r*R_qe_electron,qe)","-d(r*R_qn_negative,qe)","-d(r*Q_temperature,qe)","0","-d(r*R_qp_positive,qn)","-d(r*R_qe_electron,qn)","-d(r*R_qn_negative,qn)","-d(r*Q_temperature,qn)","0","-d(r*R_qp_positive,T)","-d(r*R_qe_electron,T)","-d(r*R_qn_negative,T)","-d(r*Q_temperature,T)"} {"0","r*R_qp_positive","r*R_qe_electron","r*R_qn_negative","r*Q_temperature"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","r*Dts_qp_positive","0","0","0","0","0","r*Dts_qe_electron","0","0","0","0","0","r*Dts_qn_negative","0","0","0","0","0","r*rho_temperature*C_temperature"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),V)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),V)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),V)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),V)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),V)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),V)"} {"-d(-r*k_T_temperature*Tr,V)","-d(-r*k_T_temperature*Tz,V)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qp)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qp)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qp)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qp)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qp)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qp)"} {"-d(-r*k_T_temperature*Tr,qp)","-d(-r*k_T_temperature*Tz,qp)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qe)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qe)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qe)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qe)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qe)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qe)"} {"-d(-r*k_T_temperature*Tr,qe)","-d(-r*k_T_temperature*Tz,qe)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qn)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qn)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qn)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qn)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qn)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qn)"} 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{"-d(r*Q_temperature,qpr)","-d(r*Q_temperature,qpz)"} {"0","0"} {"-d(r*R_qp_positive,qer)","-d(r*R_qp_positive,qez)"} {"-d(r*R_qe_electron,qer)","-d(r*R_qe_electron,qez)"} {"-d(r*R_qn_negative,qer)","-d(r*R_qn_negative,qez)"} {"-d(r*Q_temperature,qer)","-d(r*Q_temperature,qez)"} {"0","0"} {"-d(r*R_qp_positive,qnr)","-d(r*R_qp_positive,qnz)"} {"-d(r*R_qe_electron,qnr)","-d(r*R_qe_electron,qnz)"} {"-d(r*R_qn_negative,qnr)","-d(r*R_qn_negative,qnz)"} {"-d(r*Q_temperature,qnr)","-d(r*Q_temperature,qnz)"} {"0","0"} {"-d(r*R_qp_positive,Tr)","-d(r*R_qp_positive,Tz)"} {"-d(r*R_qe_electron,Tr)","-d(r*R_qe_electron,Tz)"} {"-d(r*R_qn_negative,Tr)","-d(r*R_qn_negative,Tz)"} {"-d(r*Q_temperature,Tr)","-d(r*Q_temperature,Tz)"} {"0","0"} {"r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp)","r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp)"} {"r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe)","r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe)"} {"r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn)","r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn)"} {"-r*k_T_temperature*Tr","-r*k_T_temperature*Tz"} 1 1 1 1 1 1 {"V","qp","qe","qn","T"} r epsilonrr_Voltage*Er_Voltage+epsilonrz_Voltage*Ez_Voltage epsilonzr_Voltage*Er_Voltage+epsilonzz_Voltage*Ez_Voltage epsilon0_Voltage*epsilonr_Voltage epsilon0_Voltage*epsilonrrr_Voltage epsilon0_Voltage*epsilonrrz_Voltage epsilon0_Voltage*epsilonrzr_Voltage epsilon0_Voltage*epsilonrzz_Voltage sqrt(abs(Er_Voltage)^2+abs(Ez_Voltage)^2) sqrt(abs(Dr_Voltage)^2+abs(Dz_Voltage)^2) sqrt(abs(Drr_Voltage)^2+abs(Drz_Voltage)^2) sqrt(abs(Pr_Voltage)^2+abs(Pz_Voltage)^2) 0.5*((Dr_Voltage+Drr_Voltage)*Er_Voltage+(Dz_Voltage+Drz_Voltage)*Ez_Voltage) 2*pi*dVol_Voltage*We_Voltage -Vr -Vz qpr -Drr_qp_positive*qpr-Drz_qp_positive*qpz qp*u_qp_positive dflux_qp_r_positive+cflux_qp_r_positive qpz -Dzr_qp_positive*qpr-Dzz_qp_positive*qpz qp*v_qp_positive dflux_qp_z_positive+cflux_qp_z_positive r*u_qp_positive r*v_qp_positive sqrt(grad_qp_r_positive^2+grad_qp_z_positive^2) sqrt(dflux_qp_r_positive^2+dflux_qp_z_positive^2) sqrt(cflux_qp_r_positive^2+cflux_qp_z_positive^2) sqrt(tflux_qp_r_positive^2+tflux_qp_z_positive^2) h*sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2)/Dm_qp_positive r*(Drr_qp_positive*u_qp_positive^2+Drz_qp_positive*u_qp_positive*v_qp_positive+Dzr_qp_positive*v_qp_positive*u_qp_positive+Dzz_qp_positive*v_qp_positive^2)/(u_qp_positive^2+v_qp_positive^2+eps) r*(-Drr_qp_positive*qprr-Drz_qp_positive*qprz+qpr*u_qp_positive-Dzr_qp_positive*qpzr-Dzz_qp_positive*qpzz+qpz*v_qp_positive-R_qp_positive) r*(qpr*u_qp_positive+qpz*v_qp_positive-R_qp_positive) r*Dts_qp_positive qer -Drr_qe_electron*qer-Drz_qe_electron*qez qe*u_qe_electron dflux_qe_r_electron+cflux_qe_r_electron qez -Dzr_qe_electron*qer-Dzz_qe_electron*qez qe*v_qe_electron dflux_qe_z_electron+cflux_qe_z_electron r*u_qe_electron r*v_qe_electron sqrt(grad_qe_r_electron^2+grad_qe_z_electron^2) sqrt(dflux_qe_r_electron^2+dflux_qe_z_electron^2) sqrt(cflux_qe_r_electron^2+cflux_qe_z_electron^2) sqrt(tflux_qe_r_electron^2+tflux_qe_z_electron^2) h*sqrt(beta_qe_r_electron^2+beta_qe_z_electron^2)/Dm_qe_electron r*(Drr_qe_electron*u_qe_electron^2+Drz_qe_electron*u_qe_electron*v_qe_electron+Dzr_qe_electron*v_qe_electron*u_qe_electron+Dzz_qe_electron*v_qe_electron^2)/(u_qe_electron^2+v_qe_electron^2+eps) r*(-Drr_qe_electron*qerr-Drz_qe_electron*qerz+qer*u_qe_electron-Dzr_qe_electron*qezr-Dzz_qe_electron*qezz+qez*v_qe_electron-R_qe_electron) r*(qer*u_qe_electron+qez*v_qe_electron-R_qe_electron) r*Dts_qe_electron qnr -Drr_qn_negative*qnr-Drz_qn_negative*qnz qn*u_qn_negative dflux_qn_r_negative+cflux_qn_r_negative qnz -Dzr_qn_negative*qnr-Dzz_qn_negative*qnz qn*v_qn_negative dflux_qn_z_negative+cflux_qn_z_negative r*u_qn_negative r*v_qn_negative sqrt(grad_qn_r_negative^2+grad_qn_z_negative^2) sqrt(dflux_qn_r_negative^2+dflux_qn_z_negative^2) sqrt(cflux_qn_r_negative^2+cflux_qn_z_negative^2) sqrt(tflux_qn_r_negative^2+tflux_qn_z_negative^2) h*sqrt(beta_qn_r_negative^2+beta_qn_z_negative^2)/Dm_qn_negative r*(Drr_qn_negative*u_qn_negative^2+Drz_qn_negative*u_qn_negative*v_qn_negative+Dzr_qn_negative*v_qn_negative*u_qn_negative+Dzz_qn_negative*v_qn_negative^2)/(u_qn_negative^2+v_qn_negative^2+eps) r*(-Drr_qn_negative*qnrr-Drz_qn_negative*qnrz+qnr*u_qn_negative-Dzr_qn_negative*qnzr-Dzz_qn_negative*qnzz+qnz*v_qn_negative-R_qn_negative) r*(qnr*u_qn_negative+qnz*v_qn_negative-R_qn_negative) r*Dts_qn_negative Tr -krr_T_temperature*Tr-krz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*u_T_temperature dflux_T_r_temperature+cflux_T_r_temperature Tz -kzr_T_temperature*Tr-kzz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*v_T_temperature dflux_T_z_temperature+cflux_T_z_temperature r*rho_T_temperature*C_T_temperature*u_T_temperature r*rho_T_temperature*C_T_temperature*v_T_temperature sqrt(grad_T_r_temperature^2+grad_T_z_temperature^2) sqrt(dflux_T_r_temperature^2+dflux_T_z_temperature^2) sqrt(cflux_T_r_temperature^2+cflux_T_z_temperature^2) sqrt(tflux_T_r_temperature^2+tflux_T_z_temperature^2) h*sqrt(beta_T_r_temperature^2+beta_T_z_temperature^2)/Dm_T_temperature k_temperature nojac(1/max(2*C_T_temperature*rho_T_temperature*sqrt(emetric(u_temperature,v_temperature))/gamma_temperature,48*kmean_T_temperature/h^2)) h r*rho_T_temperature^2*C_T_temperature^2*(krr_T_temperature*u_T_temperature^2+krz_T_temperature*u_T_temperature*v_T_temperature+kzr_T_temperature*v_T_temperature*u_T_temperature+kzz_T_temperature*v_T_temperature^2)/((rho_T_temperature*C_T_temperature*u_T_temperature)^2+(rho_T_temperature*C_T_temperature*v_T_temperature)^2+eps) r*(-krr_T_temperature*Trr-krz_T_temperature*Trz-kzr_T_temperature*Tzr-kzz_T_temperature*Tzz+Tr*rho_T_temperature*C_T_temperature*u_T_temperature+Tz*rho_T_temperature*C_T_temperature*v_T_temperature-Q_T_temperature+rho_temperature*C_temperature*Tt) r*Dts_T_temperature*rho_T_temperature*C_T_temperature 0 epsilonrrr_Voltage Dr_Voltage-epsilon0_Voltage*Er_Voltage 0 Dz_Voltage-epsilon0_Voltage*Ez_Voltage 0 2.2 0 0 2.2 0 0 0 0 0 1 Vp_r Vp_z GF2-Rpn-Rpe 0 0 0 0 0 1 Ve_r Ve_z -GF2+Rpe+EA 0 0 0 0 0 1 Vn_r Vn_z -EA+Rpn 0.138 1 890 1 (qp-qn-qe*muend)*normE_Voltage^2 0 0 Lag2 Lag2 0 0.5 1 gls 0.25 0 0.01[K]/helem_T_temperature 1 0.138 0.138 0 0 0.138 890 1 1 0 0 (qp-qn-qe*muend)*normE_Voltage^2 Er_Voltage Er_Voltage -Vp_r -Vp_z -muend*Er_Voltage -muend*Ez_Voltage 0 Af2nd*normE_Voltage*exp(-Bf2nd/normE_Voltage) 0 Af3nd*normE_Voltage*exp(-Bf3nd/normE_Voltage) 0 Aand*exp(-Band/normE_Voltage) abs(qe)/teand 0 KRnd*abs(qp*qn) KRnd*abs(qp*qe) {0} {0} {1} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"-d(-V,V)","0","0","0","0","-d(-V,qp)","0","0","0","0","-d(-V,qe)","0","0","0","0","-d(-V,qn)","0","0","0","0","-d(-V,T)","0","0","0","0"} {"0","0","0","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"0","0","0","0","0"} {"-V","0","0","0","0"} 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnr+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Er_Voltage) -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnz+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Ez_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unr+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Er_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unz+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Ez_Voltage) unTEr_Voltage+unTMr_Voltage 0 unTEz_Voltage+unTMz_Voltage 0 dnTEr_Voltage+dnTMr_Voltage 0 dnTEz_Voltage+dnTMz_Voltage 0 r unr*(down(Dr_Voltage)-up(Dr_Voltage))+unz*(down(Dz_Voltage)-up(Dz_Voltage)) nr_positive*dflux_qp_r_positive+nz_positive*dflux_qp_z_positive nr_positive*cflux_qp_r_positive+nz_positive*cflux_qp_z_positive nr_positive*tflux_qp_r_positive+nz_positive*tflux_qp_z_positive nr_electron*dflux_qe_r_electron+nz_electron*dflux_qe_z_electron nr_electron*cflux_qe_r_electron+nz_electron*cflux_qe_z_electron nr_electron*tflux_qe_r_electron+nz_electron*tflux_qe_z_electron nr_negative*dflux_qn_r_negative+nz_negative*dflux_qn_z_negative nr_negative*cflux_qn_r_negative+nz_negative*cflux_qn_z_negative nr_negative*tflux_qn_r_negative+nz_negative*tflux_qn_z_negative nr_temperature*dflux_T_r_temperature+nz_temperature*dflux_T_z_temperature nr_temperature*cflux_T_r_temperature+nz_temperature*cflux_T_z_temperature nr_temperature*tflux_T_r_temperature+nz_temperature*tflux_T_z_temperature 0 0 Vapp Vapp Vapp Vapp 0 1 1 nr nz 0 0 reacf(V) 1 nr nz 0 0 0 1 nr nz 0 0 0 1 nr nz 0 0 0 0 273.15 0 1 nr nz 0 273.15 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,2,3,4,4,4,5,1,1,1,1,1,6,6,1,3,6,3,1,6} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} 1 2 3 4 5 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} 0 0 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 8.854187817000001e-012 130000[V] elcplextr {"1"} dVol_Voltage 1 {"1"} 1 {"1","2","3","4","5","6","7","8","9","10","11","12","13","14","15","16","17","18","19","20","21","22","23","24"} {"dVol_Voltage"} local {"r","z"} elcplscalar {"1"} 0.5*(normE_Voltage^2) (qp-qn-qe*muend)*(normE_Voltage^2) ref ref 4 4 {"1"} {"Energy","Power"} {"1","2"} {}

{"CO2"} 1e-9[(m^2)/(V*s)] 1e-4[(m^2)/(V*s)] 8.854e-12[F/m] 2.2 0.138[W/(m*K)] 1.67e3[J/(kg*K)] 890[kg/m^3] 2e-7[s] 1.602e-19[C] 9.109e-31[kg] 0123456789 3e5[V] 25e-3[m] epsr*eps0 Vb/Lb epsb*Vb/Lb^2 epsb*mub*Vb^2/Lb^4 mub*Vb q*mub/epsb Lb^2/(mub*Vb) (epsb*mub*Vb)/Lb^3 0123456789 3.14159265 6.626e-34[(m^2)*kg/s] 0123456789 1.65e-17[m^3/s] KR/KRb 0123456789 1.3e5[V] Va/Vb 1e-9/tb[s] tea/tb 300[K] TT/TTb (epsb*Vb^2)/(rho*Cv*(Lb^2)) kT/(mub*Vb*rho*Cv) mue/mub 0123456789 0123456789 1e23[m^-3] 3e-10[m] q*6.2[J] 0.1*me[kg] q^2*n2*a2/hp[F/((m^2)*s)] pi^2*m2*a2*ie2^2/(q*hp^2)[V/m] Af2/Afb Bf2/Eb 0123456789 1e25[m^-3] 3e-10[m] q*9.86[J] 0.1*me[kg] q^2*n3*a3/hp[F/m^2-s] Af3/Afb pi^2*m3*a3*ie3^2/(q*hp^2)[V/m] Bf3/Eb kT/(mub*Vb*rho*Cv) hp Planck's constant Db base diffustion n3 3MM density of ionization species kT thermal conductivity of mineral oil n2 2MM density of ionization species ie2 2MM ionization energy Cv specific heat of mineral oil ie3 3MM ionization energy tea electron attechment time epsb base permitivitty mue electron mobility Bf3 3MM exponential term Bf2 2MM exponential term tb base time Af2 2MM pre-exponential coefficient term mub positive ion mobility Af3 3MM pre-exponential coefficient term a2 2MM melucular speration distance a3 3MM molecular speration distance me free electron mass qNb base charge density Lb base length rho mass density of mineral oil eps0 permittivity of free space tnsnd non-dimensionalized nano-second time TTb base temperature KR recombination coefiicient ion-ion and ion-electron Gb base charge generation rate Afb base field ionization pre-exponential coefficient Eb base electric field epsr relative permmitivity of transformer oil m2 2MM effective electron mass m3 3MM effective electron mass[kg] Va applied voltage KRb base recombination rate Vb base voltage q elementary charge pi PI TT nominal temperature {0} {0} Voltage weak SI COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 36 geom on on off on on off on 0.1 t Electrostatics axi {"V"} {"r","phi","z"} Voltage {"shlag(2,'V')"} 4 2 2 off _Voltage Lag2 V ref off {"lm1"} ideal 0 Q 0 {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} {"0","0"} {"0","0"} {"0","0"} {"0","0"} 0 0 Vapp 0 Vapp nD0 V V0 nD0 1 1 {1,1,1,1,1,4,2,2,2,2,4,1,1,1,1,1,3,3,1,2,3,2,1,3} 1 1 1 {"1e-8*(r-z)"} 1 {"2.2","0","0","2.2"} epsr

{"0","0"}

{"0","0"} 0 {1}
8.854187817e-12
FlConvDiff axi {"qp"} {"r","phi","z"} positive {"shlag(2,'qp')"} 4 2 2 off _positive Lag2 time cons ref off {"lm3"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"GF2-Rpn-Rpe"} {"1"} {"Vp_r"} {"Vp_z"} {"0"} {"0.5"} {"1"} {"pgc"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qe"} {"r","phi","z"} electron {"shlag(2,'qe')"} 4 2 2 off _electron Lag2 time cons ref off {"lm2"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-GF2+Rpe+EA"} {"1"} {"Ve_r"} {"Ve_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qn"} {"r","phi","z"} negative {"shlag(2,'qn')"} 4 2 2 off _negative Lag2 time cons ref off {"lm4"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-EA+Rpn"} {"1"} {"Vn_r"} {"Vn_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvCond axi {"T"} {"r","phi","z"} temperature {"shlag(2,'T')"} 4 2 2 off _temperature Lag2 time ref off {"lm5"} ideal 0 273.15 0 1 q0 {} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 1 1 1 {"273.15"} 1 0.138 {"0.025","0","0","0.025"} iso 1 890 1 (qp-qn-qe*muend)*(normE_Voltage^2) 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 scalar 0 0.01[K]/helem_T_temperature 1 t` {} {1} {"r","z"} {"ref"} {"shlag(2,'V')","shlag(2,'qp')","shlag(2,'qe')","shlag(2,'qn')","shlag(2,'T')"} 4 2 2 on 1 general
general
SI {"0","0","0","0","0"} 1 1 1 1 1 {1} 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 {"1e-008*(r-z)","0","0","0","273.15"} {"0","0","0","0","0"} {"dVol_Voltage*(-Dr_Voltage*test(Er_Voltage)-Dz_Voltage*test(Ez_Voltage)+rho_Voltage*test(V))","-(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps))*(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)>0)*(beta_qp_r_positive*qpr_test+beta_qp_z_positive*qpz_test)*res_qp_positive","-h*(beta_qe_r_electron*qer_test+beta_qe_z_electron*qez_test)*(beta_qe_r_electron*qer+beta_qe_z_electron*qez)/sqrt(beta_qe_r_electron^2+beta_qe_z_electron^2+eps)","-h*(beta_qn_r_negative*qnr_test+beta_qn_z_negative*qnz_test)*(beta_qn_r_negative*qnr+beta_qn_z_negative*qnz)/sqrt(beta_qn_r_negative^2+beta_qn_z_negative^2+eps)","-test(nojac(C_T_temperature*rho_T_temperature*u_T_temperature)*Tr+nojac(C_T_temperature*rho_T_temperature*v_T_temperature)*Tz-nojac(kmean_T_temperature)*Trr-nojac(kmean_T_temperature)*Tzz)*taue_T_temperature*res_T_temperature"} {"0","(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps))*(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)>0)*(beta_qp_r_positive*qpr_test+beta_qp_z_positive*qpz_test)*da_qp_positive*qpt","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vz)"} {"-d(-r*k_T_temperature*Tr,Vr)","-d(-r*k_T_temperature*Tz,Vr)","-d(-r*k_T_temperature*Tr,Vz)","-d(-r*k_T_temperature*Tz,Vz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpz)"} {"-d(-r*k_T_temperature*Tr,qpr)","-d(-r*k_T_temperature*Tz,qpr)","-d(-r*k_T_temperature*Tr,qpz)","-d(-r*k_T_temperature*Tz,qpz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qer)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qer)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qez)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qez)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qer)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qer)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qez)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qez)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qer)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qer)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qez)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qez)"} {"-d(-r*k_T_temperature*Tr,qer)","-d(-r*k_T_temperature*Tz,qer)","-d(-r*k_T_temperature*Tr,qez)","-d(-r*k_T_temperature*Tz,qez)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnz)"} {"-d(-r*k_T_temperature*Tr,qnr)","-d(-r*k_T_temperature*Tz,qnr)","-d(-r*k_T_temperature*Tr,qnz)","-d(-r*k_T_temperature*Tz,qnz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tz)"} {"-d(-r*k_T_temperature*Tr,Tr)","-d(-r*k_T_temperature*Tz,Tr)","-d(-r*k_T_temperature*Tr,Tz)","-d(-r*k_T_temperature*Tz,Tz)"} {"0","-d(r*R_qp_positive,V)","-d(r*R_qe_electron,V)","-d(r*R_qn_negative,V)","-d(r*Q_temperature,V)","0","-d(r*R_qp_positive,qp)","-d(r*R_qe_electron,qp)","-d(r*R_qn_negative,qp)","-d(r*Q_temperature,qp)","0","-d(r*R_qp_positive,qe)","-d(r*R_qe_electron,qe)","-d(r*R_qn_negative,qe)","-d(r*Q_temperature,qe)","0","-d(r*R_qp_positive,qn)","-d(r*R_qe_electron,qn)","-d(r*R_qn_negative,qn)","-d(r*Q_temperature,qn)","0","-d(r*R_qp_positive,T)","-d(r*R_qe_electron,T)","-d(r*R_qn_negative,T)","-d(r*Q_temperature,T)"} {"0","r*R_qp_positive","r*R_qe_electron","r*R_qn_negative","r*Q_temperature"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","r*Dts_qp_positive","0","0","0","0","0","r*Dts_qe_electron","0","0","0","0","0","r*Dts_qn_negative","0","0","0","0","0","r*rho_temperature*C_temperature"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),V)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),V)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),V)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),V)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),V)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),V)"} {"-d(-r*k_T_temperature*Tr,V)","-d(-r*k_T_temperature*Tz,V)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qp)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qp)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qp)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qp)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qp)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qp)"} {"-d(-r*k_T_temperature*Tr,qp)","-d(-r*k_T_temperature*Tz,qp)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qe)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qe)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qe)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qe)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qe)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qe)"} {"-d(-r*k_T_temperature*Tr,qe)","-d(-r*k_T_temperature*Tz,qe)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qn)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qn)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qn)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qn)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qn)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qn)"} {"-d(-r*k_T_temperature*Tr,qn)","-d(-r*k_T_temperature*Tz,qn)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),T)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),T)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),T)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),T)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),T)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),T)"} {"-d(-r*k_T_temperature*Tr,T)","-d(-r*k_T_temperature*Tz,T)"} {"0","0"} {"-d(r*R_qp_positive,Vr)","-d(r*R_qp_positive,Vz)"} {"-d(r*R_qe_electron,Vr)","-d(r*R_qe_electron,Vz)"} {"-d(r*R_qn_negative,Vr)","-d(r*R_qn_negative,Vz)"} {"-d(r*Q_temperature,Vr)","-d(r*Q_temperature,Vz)"} {"0","0"} {"-d(r*R_qp_positive,qpr)","-d(r*R_qp_positive,qpz)"} {"-d(r*R_qe_electron,qpr)","-d(r*R_qe_electron,qpz)"} {"-d(r*R_qn_negative,qpr)","-d(r*R_qn_negative,qpz)"} {"-d(r*Q_temperature,qpr)","-d(r*Q_temperature,qpz)"} {"0","0"} {"-d(r*R_qp_positive,qer)","-d(r*R_qp_positive,qez)"} {"-d(r*R_qe_electron,qer)","-d(r*R_qe_electron,qez)"} {"-d(r*R_qn_negative,qer)","-d(r*R_qn_negative,qez)"} {"-d(r*Q_temperature,qer)","-d(r*Q_temperature,qez)"} {"0","0"} {"-d(r*R_qp_positive,qnr)","-d(r*R_qp_positive,qnz)"} {"-d(r*R_qe_electron,qnr)","-d(r*R_qe_electron,qnz)"} {"-d(r*R_qn_negative,qnr)","-d(r*R_qn_negative,qnz)"} {"-d(r*Q_temperature,qnr)","-d(r*Q_temperature,qnz)"} {"0","0"} {"-d(r*R_qp_positive,Tr)","-d(r*R_qp_positive,Tz)"} {"-d(r*R_qe_electron,Tr)","-d(r*R_qe_electron,Tz)"} {"-d(r*R_qn_negative,Tr)","-d(r*R_qn_negative,Tz)"} {"-d(r*Q_temperature,Tr)","-d(r*Q_temperature,Tz)"} {"0","0"} {"r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp)","r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp)"} {"r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe)","r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe)"} {"r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn)","r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn)"} {"-r*k_T_temperature*Tr","-r*k_T_temperature*Tz"} 1 1 1 1 1 1 {"V","qp","qe","qn","T"} r epsilonrr_Voltage*Er_Voltage+epsilonrz_Voltage*Ez_Voltage epsilonzr_Voltage*Er_Voltage+epsilonzz_Voltage*Ez_Voltage epsilon0_Voltage*epsilonr_Voltage epsilon0_Voltage*epsilonrrr_Voltage epsilon0_Voltage*epsilonrrz_Voltage epsilon0_Voltage*epsilonrzr_Voltage epsilon0_Voltage*epsilonrzz_Voltage sqrt(abs(Er_Voltage)^2+abs(Ez_Voltage)^2) sqrt(abs(Dr_Voltage)^2+abs(Dz_Voltage)^2) sqrt(abs(Drr_Voltage)^2+abs(Drz_Voltage)^2) sqrt(abs(Pr_Voltage)^2+abs(Pz_Voltage)^2) 0.5*((Dr_Voltage+Drr_Voltage)*Er_Voltage+(Dz_Voltage+Drz_Voltage)*Ez_Voltage) 2*pi*dVol_Voltage*We_Voltage -Vr -Vz qpr -Drr_qp_positive*qpr-Drz_qp_positive*qpz qp*u_qp_positive dflux_qp_r_positive+cflux_qp_r_positive qpz -Dzr_qp_positive*qpr-Dzz_qp_positive*qpz qp*v_qp_positive dflux_qp_z_positive+cflux_qp_z_positive r*u_qp_positive r*v_qp_positive sqrt(grad_qp_r_positive^2+grad_qp_z_positive^2) sqrt(dflux_qp_r_positive^2+dflux_qp_z_positive^2) sqrt(cflux_qp_r_positive^2+cflux_qp_z_positive^2) sqrt(tflux_qp_r_positive^2+tflux_qp_z_positive^2) h*sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2)/Dm_qp_positive r*(Drr_qp_positive*u_qp_positive^2+Drz_qp_positive*u_qp_positive*v_qp_positive+Dzr_qp_positive*v_qp_positive*u_qp_positive+Dzz_qp_positive*v_qp_positive^2)/(u_qp_positive^2+v_qp_positive^2+eps) r*(-Drr_qp_positive*qprr-Drz_qp_positive*qprz+qpr*u_qp_positive-Dzr_qp_positive*qpzr-Dzz_qp_positive*qpzz+qpz*v_qp_positive-R_qp_positive) r*(qpr*u_qp_positive+qpz*v_qp_positive-R_qp_positive) r*Dts_qp_positive qer -Drr_qe_electron*qer-Drz_qe_electron*qez qe*u_qe_electron dflux_qe_r_electron+cflux_qe_r_electron qez -Dzr_qe_electron*qer-Dzz_qe_electron*qez qe*v_qe_electron dflux_qe_z_electron+cflux_qe_z_electron r*u_qe_electron r*v_qe_electron sqrt(grad_qe_r_electron^2+grad_qe_z_electron^2) sqrt(dflux_qe_r_electron^2+dflux_qe_z_electron^2) sqrt(cflux_qe_r_electron^2+cflux_qe_z_electron^2) sqrt(tflux_qe_r_electron^2+tflux_qe_z_electron^2) h*sqrt(beta_qe_r_electron^2+beta_qe_z_electron^2)/Dm_qe_electron r*(Drr_qe_electron*u_qe_electron^2+Drz_qe_electron*u_qe_electron*v_qe_electron+Dzr_qe_electron*v_qe_electron*u_qe_electron+Dzz_qe_electron*v_qe_electron^2)/(u_qe_electron^2+v_qe_electron^2+eps) r*(-Drr_qe_electron*qerr-Drz_qe_electron*qerz+qer*u_qe_electron-Dzr_qe_electron*qezr-Dzz_qe_electron*qezz+qez*v_qe_electron-R_qe_electron) r*(qer*u_qe_electron+qez*v_qe_electron-R_qe_electron) r*Dts_qe_electron qnr -Drr_qn_negative*qnr-Drz_qn_negative*qnz qn*u_qn_negative dflux_qn_r_negative+cflux_qn_r_negative qnz -Dzr_qn_negative*qnr-Dzz_qn_negative*qnz qn*v_qn_negative dflux_qn_z_negative+cflux_qn_z_negative r*u_qn_negative r*v_qn_negative sqrt(grad_qn_r_negative^2+grad_qn_z_negative^2) sqrt(dflux_qn_r_negative^2+dflux_qn_z_negative^2) sqrt(cflux_qn_r_negative^2+cflux_qn_z_negative^2) sqrt(tflux_qn_r_negative^2+tflux_qn_z_negative^2) h*sqrt(beta_qn_r_negative^2+beta_qn_z_negative^2)/Dm_qn_negative r*(Drr_qn_negative*u_qn_negative^2+Drz_qn_negative*u_qn_negative*v_qn_negative+Dzr_qn_negative*v_qn_negative*u_qn_negative+Dzz_qn_negative*v_qn_negative^2)/(u_qn_negative^2+v_qn_negative^2+eps) r*(-Drr_qn_negative*qnrr-Drz_qn_negative*qnrz+qnr*u_qn_negative-Dzr_qn_negative*qnzr-Dzz_qn_negative*qnzz+qnz*v_qn_negative-R_qn_negative) r*(qnr*u_qn_negative+qnz*v_qn_negative-R_qn_negative) r*Dts_qn_negative Tr -krr_T_temperature*Tr-krz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*u_T_temperature dflux_T_r_temperature+cflux_T_r_temperature Tz -kzr_T_temperature*Tr-kzz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*v_T_temperature dflux_T_z_temperature+cflux_T_z_temperature r*rho_T_temperature*C_T_temperature*u_T_temperature r*rho_T_temperature*C_T_temperature*v_T_temperature sqrt(grad_T_r_temperature^2+grad_T_z_temperature^2) sqrt(dflux_T_r_temperature^2+dflux_T_z_temperature^2) sqrt(cflux_T_r_temperature^2+cflux_T_z_temperature^2) sqrt(tflux_T_r_temperature^2+tflux_T_z_temperature^2) h*sqrt(beta_T_r_temperature^2+beta_T_z_temperature^2)/Dm_T_temperature k_temperature nojac(1/max(2*C_T_temperature*rho_T_temperature*sqrt(emetric(u_temperature,v_temperature))/gamma_temperature,48*kmean_T_temperature/h^2)) h r*rho_T_temperature^2*C_T_temperature^2*(krr_T_temperature*u_T_temperature^2+krz_T_temperature*u_T_temperature*v_T_temperature+kzr_T_temperature*v_T_temperature*u_T_temperature+kzz_T_temperature*v_T_temperature^2)/((rho_T_temperature*C_T_temperature*u_T_temperature)^2+(rho_T_temperature*C_T_temperature*v_T_temperature)^2+eps) r*(-krr_T_temperature*Trr-krz_T_temperature*Trz-kzr_T_temperature*Tzr-kzz_T_temperature*Tzz+Tr*rho_T_temperature*C_T_temperature*u_T_temperature+Tz*rho_T_temperature*C_T_temperature*v_T_temperature-Q_T_temperature+rho_temperature*C_temperature*Tt) r*Dts_T_temperature*rho_T_temperature*C_T_temperature 0 epsilonrrr_Voltage Dr_Voltage-epsilon0_Voltage*Er_Voltage 0 Dz_Voltage-epsilon0_Voltage*Ez_Voltage 0 2.2 0 0 2.2 0 0 0 0 0 1 Vp_r Vp_z GF2-Rpn-Rpe 0 0 0 0 0 1 Ve_r Ve_z -GF2+Rpe+EA 0 0 0 0 0 1 Vn_r Vn_z -EA+Rpn 0.138 1 890 1 (qp-qn-qe*muend)*normE_Voltage^2 0 0 Lag2 Lag2 0 0.5 1 gls 0.25 0 0.01[K]/helem_T_temperature 1 0.138 0.138 0 0 0.138 890 1 1 0 0 (qp-qn-qe*muend)*normE_Voltage^2 Er_Voltage Er_Voltage -Vp_r -Vp_z -muend*Er_Voltage -muend*Ez_Voltage 0 Af2nd*normE_Voltage*exp(-Bf2nd/normE_Voltage) 0 Af3nd*normE_Voltage*exp(-Bf3nd/normE_Voltage) 0 Aand*exp(-Band/normE_Voltage) abs(qe)/teand 0 KRnd*abs(qp*qn) KRnd*abs(qp*qe) {0} {0} {1} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} 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{"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"-d(-V,V)","0","0","0","0","-d(-V,qp)","0","0","0","0","-d(-V,qe)","0","0","0","0","-d(-V,qn)","0","0","0","0","-d(-V,T)","0","0","0","0"} {"0","0","0","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"0","0","0","0","0"} {"-V","0","0","0","0"} 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnr+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Er_Voltage) -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnz+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Ez_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unr+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Er_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unz+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Ez_Voltage) unTEr_Voltage+unTMr_Voltage 0 unTEz_Voltage+unTMz_Voltage 0 dnTEr_Voltage+dnTMr_Voltage 0 dnTEz_Voltage+dnTMz_Voltage 0 r unr*(down(Dr_Voltage)-up(Dr_Voltage))+unz*(down(Dz_Voltage)-up(Dz_Voltage)) nr_positive*dflux_qp_r_positive+nz_positive*dflux_qp_z_positive nr_positive*cflux_qp_r_positive+nz_positive*cflux_qp_z_positive nr_positive*tflux_qp_r_positive+nz_positive*tflux_qp_z_positive nr_electron*dflux_qe_r_electron+nz_electron*dflux_qe_z_electron nr_electron*cflux_qe_r_electron+nz_electron*cflux_qe_z_electron nr_electron*tflux_qe_r_electron+nz_electron*tflux_qe_z_electron nr_negative*dflux_qn_r_negative+nz_negative*dflux_qn_z_negative nr_negative*cflux_qn_r_negative+nz_negative*cflux_qn_z_negative nr_negative*tflux_qn_r_negative+nz_negative*tflux_qn_z_negative nr_temperature*dflux_T_r_temperature+nz_temperature*dflux_T_z_temperature nr_temperature*cflux_T_r_temperature+nz_temperature*cflux_T_z_temperature nr_temperature*tflux_T_r_temperature+nz_temperature*tflux_T_z_temperature 0 0 Vapp Vapp Vapp Vapp 0 1 1 nr nz 0 0 reacf(V) 1 nr nz 0 0 0 1 nr nz 0 0 0 1 nr nz 0 0 0 0 273.15 0 1 nr nz 0 273.15 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,2,3,4,4,4,5,1,1,1,1,1,6,6,1,3,6,3,1,6} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} 1 2 3 4 5 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} 0 0 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 8.854187817000001e-012 130000[V] elcplextr {"1"} dVol_Voltage 1 {"1"} 1 {"1","2","3","4","5","6","7","8","9","10","11","12","13","14","15","16","17","18","19","20","21","22","23","24"} {"dVol_Voltage"} local {"r","z"} elcplscalar {"1"} 0.5*(normE_Voltage^2) (qp-qn-qe*muend)*(normE_Voltage^2) ref ref 4 4 {"1"} {"Energy","Power"} {"1","2"} {}

1e-9[(m^2)/(V*s)] 1e-4[(m^2)/(V*s)] 8.854e-12[F/m] 2.2 0.138[W/(m*K)] 1.67e3[J/(kg*K)] 890[kg/m^3] 2e-7[s] 1.602e-19[C] 9.109e-31[kg] 0123456789 3e5[V] 25e-3[m] epsr*eps0 Vb/Lb epsb*Vb/Lb^2 epsb*mub*Vb^2/Lb^4 mub*Vb q*mub/epsb Lb^2/(mub*Vb) (epsb*mub*Vb)/Lb^3 0123456789 3.14159265 6.626e-34[(m^2)*kg/s] 0123456789 1.65e-17[m^3/s] KR/KRb 0123456789 1.3e5[V] Va/Vb 1e-9/tb[s] tea/tb 300[K] TT/TTb (epsb*Vb^2)/(rho*Cv*(Lb^2)) kT/(mub*Vb*rho*Cv) mue/mub 0123456789 0123456789 1e23[m^-3] 3e-10[m] q*6.2[J] 0.1*me[kg] q^2*n2*a2/hp[F/((m^2)*s)] pi^2*m2*a2*ie2^2/(q*hp^2)[V/m] Af2/Afb Bf2/Eb 0123456789 1e25[m^-3] 3e-10[m] q*9.86[J] 0.1*me[kg] q^2*n3*a3/hp[F/m^2-s] Af3/Afb pi^2*m3*a3*ie3^2/(q*hp^2)[V/m] Bf3/Eb kT/(mub*Vb*rho*Cv) hp Planck's constant Db base diffustion n3 3MM density of ionization species kT thermal conductivity of mineral oil n2 2MM density of ionization species ie2 2MM ionization energy Cv specific heat of mineral oil ie3 3MM ionization energy tea electron attechment time epsb base permitivitty mue electron mobility Bf3 3MM exponential term Bf2 2MM exponential term tb base time Af2 2MM pre-exponential coefficient term mub positive ion mobility Af3 3MM pre-exponential coefficient term a2 2MM melucular speration distance a3 3MM molecular speration distance me free electron mass qNb base charge density Lb base length rho mass density of mineral oil eps0 permittivity of free space tnsnd non-dimensionalized nano-second time TTb base temperature KR recombination coefiicient ion-ion and ion-electron Gb base charge generation rate Afb base field ionization pre-exponential coefficient Eb base electric field epsr relative permmitivity of transformer oil m2 2MM effective electron mass m3 3MM effective electron mass[kg] Va applied voltage KRb base recombination rate Vb base voltage q elementary charge pi PI TT nominal temperature {0} {0} Voltage weak SI COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 36 geom on on off on on on on 0.1 t Electrostatics axi {"V"} {"r","phi","z"} Voltage {"shlag(2,'V')"} 4 2 2 off _Voltage Lag2 V ref off {"lm1"} ideal 0 Q 0 {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} {"0","0"} {"0","0"} {"0","0"} 0 0 Vapp 0 nD0 V V0 1 1 {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,3,3,1,2,3,2,1,3} 1 1 1 {"1e-8*(r-z)"} 1 {"2.2","0","0","2.2"} epsr

{"0","0"}

{"0","0"} 0 {1}
8.854187817e-12
FlConvDiff axi {"qp"} {"r","phi","z"} positive {"shlag(2,'qp')"} 4 2 2 off _positive Lag2 time cons ref off {"lm3"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"GF2-Rpn-Rpe"} {"1"} {"Vp_r"} {"Vp_z"} {"0"} {"0.5"} {"1"} {"pgc"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qe"} {"r","phi","z"} electron {"shlag(2,'qe')"} 4 2 2 off _electron Lag2 time cons ref off {"lm2"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-GF2+Rpe+EA"} {"1"} {"Ve_r"} {"Ve_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvDiff axi {"qn"} {"r","phi","z"} negative {"shlag(2,'qn')"} 4 2 2 off _negative Lag2 time cons ref off {"lm4"} ideal {"0"} {"0"} 1 {"0"} {"N0"} {"Nc"} {1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,1,2} 1 1 1 {"0"} 1 {"0"} {"1","0","0","1"} {"iso"} {"-EA+Rpn"} {"1"} {"Vn_r"} {"Vn_z"} {"0"} {"0.5"} {"1"} {"ad"} {"1"} {"0"} {"sc"} {"0.35"} {1} FlConvCond axi {"T"} {"r","phi","z"} temperature {"shlag(2,'T')"} 4 2 2 off _temperature Lag2 time ref off {"lm5"} ideal 0 273.15 0 1 q0 {} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 1 1 1 {"273.15"} 1 0.138 {"0.025","0","0","0.025"} iso 1 890 1 (qp-qn-qe*muend)*(normE_Voltage^2) 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 scalar 0 0.01[K]/helem_T_temperature 1 {} {1} {"r","z"} {"ref"} {"shlag(2,'V')","shlag(2,'qp')","shlag(2,'qe')","shlag(2,'qn')","shlag(2,'T')"} 4 2 2 on 1 general
general
SI {"0","0","0","0","0"} 1 1 1 1 1 {1} 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 {"1e-008*(r-z)","0","0","0","273.15"} {"0","0","0","0","0"} {"dVol_Voltage*(-Dr_Voltage*test(Er_Voltage)-Dz_Voltage*test(Ez_Voltage)+rho_Voltage*test(V))","-(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps))*(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)>0)*(beta_qp_r_positive*qpr_test+beta_qp_z_positive*qpz_test)*res_qp_positive","-h*(beta_qe_r_electron*qer_test+beta_qe_z_electron*qez_test)*(beta_qe_r_electron*qer+beta_qe_z_electron*qez)/sqrt(beta_qe_r_electron^2+beta_qe_z_electron^2+eps)","-h*(beta_qn_r_negative*qnr_test+beta_qn_z_negative*qnz_test)*(beta_qn_r_negative*qnr+beta_qn_z_negative*qnz)/sqrt(beta_qn_r_negative^2+beta_qn_z_negative^2+eps)","-test(nojac(C_T_temperature*rho_T_temperature*u_T_temperature)*Tr+nojac(C_T_temperature*rho_T_temperature*v_T_temperature)*Tz-nojac(kmean_T_temperature)*Trr-nojac(kmean_T_temperature)*Tzz)*taue_T_temperature*res_T_temperature"} {"0","(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps))*(h/sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)-Dm_qp_positive/(beta_qp_r_positive^2+beta_qp_z_positive^2+eps)>0)*(beta_qp_r_positive*qpr_test+beta_qp_z_positive*qpz_test)*da_qp_positive*qpt","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Vz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Vz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Vz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Vz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Vz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Vz)"} {"-d(-r*k_T_temperature*Tr,Vr)","-d(-r*k_T_temperature*Tz,Vr)","-d(-r*k_T_temperature*Tr,Vz)","-d(-r*k_T_temperature*Tz,Vz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qpz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qpz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qpz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qpz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qpz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qpz)"} {"-d(-r*k_T_temperature*Tr,qpr)","-d(-r*k_T_temperature*Tz,qpr)","-d(-r*k_T_temperature*Tr,qpz)","-d(-r*k_T_temperature*Tz,qpz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qer)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qer)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qez)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qez)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qer)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qer)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qez)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qez)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qer)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qer)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qez)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qez)"} {"-d(-r*k_T_temperature*Tr,qer)","-d(-r*k_T_temperature*Tz,qer)","-d(-r*k_T_temperature*Tr,qez)","-d(-r*k_T_temperature*Tz,qez)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qnz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qnz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qnz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qnz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qnz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qnz)"} {"-d(-r*k_T_temperature*Tr,qnr)","-d(-r*k_T_temperature*Tz,qnr)","-d(-r*k_T_temperature*Tr,qnz)","-d(-r*k_T_temperature*Tz,qnz)"} {"0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tr)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tr)","-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),Tz)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),Tz)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tr)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tr)","-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),Tz)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),Tz)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tr)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tr)","-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),Tz)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),Tz)"} {"-d(-r*k_T_temperature*Tr,Tr)","-d(-r*k_T_temperature*Tz,Tr)","-d(-r*k_T_temperature*Tr,Tz)","-d(-r*k_T_temperature*Tz,Tz)"} {"0","-d(r*R_qp_positive,V)","-d(r*R_qe_electron,V)","-d(r*R_qn_negative,V)","-d(r*Q_temperature,V)","0","-d(r*R_qp_positive,qp)","-d(r*R_qe_electron,qp)","-d(r*R_qn_negative,qp)","-d(r*Q_temperature,qp)","0","-d(r*R_qp_positive,qe)","-d(r*R_qe_electron,qe)","-d(r*R_qn_negative,qe)","-d(r*Q_temperature,qe)","0","-d(r*R_qp_positive,qn)","-d(r*R_qe_electron,qn)","-d(r*R_qn_negative,qn)","-d(r*Q_temperature,qn)","0","-d(r*R_qp_positive,T)","-d(r*R_qe_electron,T)","-d(r*R_qn_negative,T)","-d(r*Q_temperature,T)"} {"0","r*R_qp_positive","r*R_qe_electron","r*R_qn_negative","r*Q_temperature"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","r*Dts_qp_positive","0","0","0","0","0","r*Dts_qe_electron","0","0","0","0","0","r*Dts_qn_negative","0","0","0","0","0","r*rho_temperature*C_temperature"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),V)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),V)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),V)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),V)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),V)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),V)"} {"-d(-r*k_T_temperature*Tr,V)","-d(-r*k_T_temperature*Tz,V)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qp)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qp)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qp)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qp)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qp)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qp)"} {"-d(-r*k_T_temperature*Tr,qp)","-d(-r*k_T_temperature*Tz,qp)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qe)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qe)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qe)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qe)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qe)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qe)"} {"-d(-r*k_T_temperature*Tr,qe)","-d(-r*k_T_temperature*Tz,qe)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),qn)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),qn)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),qn)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),qn)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),qn)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),qn)"} {"-d(-r*k_T_temperature*Tr,qn)","-d(-r*k_T_temperature*Tz,qn)"} {"0","0"} {"-d(r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp),T)","-d(r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp),T)"} {"-d(r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe),T)","-d(r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe),T)"} {"-d(r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn),T)","-d(r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn),T)"} {"-d(-r*k_T_temperature*Tr,T)","-d(-r*k_T_temperature*Tz,T)"} {"0","0"} {"-d(r*R_qp_positive,Vr)","-d(r*R_qp_positive,Vz)"} {"-d(r*R_qe_electron,Vr)","-d(r*R_qe_electron,Vz)"} {"-d(r*R_qn_negative,Vr)","-d(r*R_qn_negative,Vz)"} {"-d(r*Q_temperature,Vr)","-d(r*Q_temperature,Vz)"} {"0","0"} {"-d(r*R_qp_positive,qpr)","-d(r*R_qp_positive,qpz)"} {"-d(r*R_qe_electron,qpr)","-d(r*R_qe_electron,qpz)"} {"-d(r*R_qn_negative,qpr)","-d(r*R_qn_negative,qpz)"} {"-d(r*Q_temperature,qpr)","-d(r*Q_temperature,qpz)"} {"0","0"} {"-d(r*R_qp_positive,qer)","-d(r*R_qp_positive,qez)"} {"-d(r*R_qe_electron,qer)","-d(r*R_qe_electron,qez)"} {"-d(r*R_qn_negative,qer)","-d(r*R_qn_negative,qez)"} {"-d(r*Q_temperature,qer)","-d(r*Q_temperature,qez)"} {"0","0"} {"-d(r*R_qp_positive,qnr)","-d(r*R_qp_positive,qnz)"} {"-d(r*R_qe_electron,qnr)","-d(r*R_qe_electron,qnz)"} {"-d(r*R_qn_negative,qnr)","-d(r*R_qn_negative,qnz)"} {"-d(r*Q_temperature,qnr)","-d(r*Q_temperature,qnz)"} {"0","0"} {"-d(r*R_qp_positive,Tr)","-d(r*R_qp_positive,Tz)"} {"-d(r*R_qe_electron,Tr)","-d(r*R_qe_electron,Tz)"} {"-d(r*R_qn_negative,Tr)","-d(r*R_qn_negative,Tz)"} {"-d(r*Q_temperature,Tr)","-d(r*Q_temperature,Tz)"} {"0","0"} {"r*(-Drr_qp_positive*qpr-Drz_qp_positive*qpz+u_qp_positive*qp)","r*(-Dzr_qp_positive*qpr-Dzz_qp_positive*qpz+v_qp_positive*qp)"} {"r*(-Drr_qe_electron*qer-Drz_qe_electron*qez+u_qe_electron*qe)","r*(-Dzr_qe_electron*qer-Dzz_qe_electron*qez+v_qe_electron*qe)"} {"r*(-Drr_qn_negative*qnr-Drz_qn_negative*qnz+u_qn_negative*qn)","r*(-Dzr_qn_negative*qnr-Dzz_qn_negative*qnz+v_qn_negative*qn)"} {"-r*k_T_temperature*Tr","-r*k_T_temperature*Tz"} 1 1 1 1 1 1 {"V","qp","qe","qn","T"} r epsilonrr_Voltage*Er_Voltage+epsilonrz_Voltage*Ez_Voltage epsilonzr_Voltage*Er_Voltage+epsilonzz_Voltage*Ez_Voltage epsilon0_Voltage*epsilonr_Voltage epsilon0_Voltage*epsilonrrr_Voltage epsilon0_Voltage*epsilonrrz_Voltage epsilon0_Voltage*epsilonrzr_Voltage epsilon0_Voltage*epsilonrzz_Voltage sqrt(abs(Er_Voltage)^2+abs(Ez_Voltage)^2) sqrt(abs(Dr_Voltage)^2+abs(Dz_Voltage)^2) sqrt(abs(Drr_Voltage)^2+abs(Drz_Voltage)^2) sqrt(abs(Pr_Voltage)^2+abs(Pz_Voltage)^2) 0.5*((Dr_Voltage+Drr_Voltage)*Er_Voltage+(Dz_Voltage+Drz_Voltage)*Ez_Voltage) 2*pi*dVol_Voltage*We_Voltage -Vr -Vz qpr -Drr_qp_positive*qpr-Drz_qp_positive*qpz qp*u_qp_positive dflux_qp_r_positive+cflux_qp_r_positive qpz -Dzr_qp_positive*qpr-Dzz_qp_positive*qpz qp*v_qp_positive dflux_qp_z_positive+cflux_qp_z_positive r*u_qp_positive r*v_qp_positive sqrt(grad_qp_r_positive^2+grad_qp_z_positive^2) sqrt(dflux_qp_r_positive^2+dflux_qp_z_positive^2) sqrt(cflux_qp_r_positive^2+cflux_qp_z_positive^2) sqrt(tflux_qp_r_positive^2+tflux_qp_z_positive^2) h*sqrt(beta_qp_r_positive^2+beta_qp_z_positive^2)/Dm_qp_positive r*(Drr_qp_positive*u_qp_positive^2+Drz_qp_positive*u_qp_positive*v_qp_positive+Dzr_qp_positive*v_qp_positive*u_qp_positive+Dzz_qp_positive*v_qp_positive^2)/(u_qp_positive^2+v_qp_positive^2+eps) r*(-Drr_qp_positive*qprr-Drz_qp_positive*qprz+qpr*u_qp_positive-Dzr_qp_positive*qpzr-Dzz_qp_positive*qpzz+qpz*v_qp_positive-R_qp_positive) r*(qpr*u_qp_positive+qpz*v_qp_positive-R_qp_positive) r*Dts_qp_positive qer -Drr_qe_electron*qer-Drz_qe_electron*qez qe*u_qe_electron dflux_qe_r_electron+cflux_qe_r_electron qez -Dzr_qe_electron*qer-Dzz_qe_electron*qez qe*v_qe_electron dflux_qe_z_electron+cflux_qe_z_electron r*u_qe_electron r*v_qe_electron sqrt(grad_qe_r_electron^2+grad_qe_z_electron^2) sqrt(dflux_qe_r_electron^2+dflux_qe_z_electron^2) sqrt(cflux_qe_r_electron^2+cflux_qe_z_electron^2) sqrt(tflux_qe_r_electron^2+tflux_qe_z_electron^2) h*sqrt(beta_qe_r_electron^2+beta_qe_z_electron^2)/Dm_qe_electron r*(Drr_qe_electron*u_qe_electron^2+Drz_qe_electron*u_qe_electron*v_qe_electron+Dzr_qe_electron*v_qe_electron*u_qe_electron+Dzz_qe_electron*v_qe_electron^2)/(u_qe_electron^2+v_qe_electron^2+eps) r*(-Drr_qe_electron*qerr-Drz_qe_electron*qerz+qer*u_qe_electron-Dzr_qe_electron*qezr-Dzz_qe_electron*qezz+qez*v_qe_electron-R_qe_electron) r*(qer*u_qe_electron+qez*v_qe_electron-R_qe_electron) r*Dts_qe_electron qnr -Drr_qn_negative*qnr-Drz_qn_negative*qnz qn*u_qn_negative dflux_qn_r_negative+cflux_qn_r_negative qnz -Dzr_qn_negative*qnr-Dzz_qn_negative*qnz qn*v_qn_negative dflux_qn_z_negative+cflux_qn_z_negative r*u_qn_negative r*v_qn_negative sqrt(grad_qn_r_negative^2+grad_qn_z_negative^2) sqrt(dflux_qn_r_negative^2+dflux_qn_z_negative^2) sqrt(cflux_qn_r_negative^2+cflux_qn_z_negative^2) sqrt(tflux_qn_r_negative^2+tflux_qn_z_negative^2) h*sqrt(beta_qn_r_negative^2+beta_qn_z_negative^2)/Dm_qn_negative r*(Drr_qn_negative*u_qn_negative^2+Drz_qn_negative*u_qn_negative*v_qn_negative+Dzr_qn_negative*v_qn_negative*u_qn_negative+Dzz_qn_negative*v_qn_negative^2)/(u_qn_negative^2+v_qn_negative^2+eps) r*(-Drr_qn_negative*qnrr-Drz_qn_negative*qnrz+qnr*u_qn_negative-Dzr_qn_negative*qnzr-Dzz_qn_negative*qnzz+qnz*v_qn_negative-R_qn_negative) r*(qnr*u_qn_negative+qnz*v_qn_negative-R_qn_negative) r*Dts_qn_negative Tr -krr_T_temperature*Tr-krz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*u_T_temperature dflux_T_r_temperature+cflux_T_r_temperature Tz -kzr_T_temperature*Tr-kzz_T_temperature*Tz rho_T_temperature*C_T_temperature*T*v_T_temperature dflux_T_z_temperature+cflux_T_z_temperature r*rho_T_temperature*C_T_temperature*u_T_temperature r*rho_T_temperature*C_T_temperature*v_T_temperature sqrt(grad_T_r_temperature^2+grad_T_z_temperature^2) sqrt(dflux_T_r_temperature^2+dflux_T_z_temperature^2) sqrt(cflux_T_r_temperature^2+cflux_T_z_temperature^2) sqrt(tflux_T_r_temperature^2+tflux_T_z_temperature^2) h*sqrt(beta_T_r_temperature^2+beta_T_z_temperature^2)/Dm_T_temperature k_temperature nojac(1/max(2*C_T_temperature*rho_T_temperature*sqrt(emetric(u_temperature,v_temperature))/gamma_temperature,48*kmean_T_temperature/h^2)) h r*rho_T_temperature^2*C_T_temperature^2*(krr_T_temperature*u_T_temperature^2+krz_T_temperature*u_T_temperature*v_T_temperature+kzr_T_temperature*v_T_temperature*u_T_temperature+kzz_T_temperature*v_T_temperature^2)/((rho_T_temperature*C_T_temperature*u_T_temperature)^2+(rho_T_temperature*C_T_temperature*v_T_temperature)^2+eps) r*(-krr_T_temperature*Trr-krz_T_temperature*Trz-kzr_T_temperature*Tzr-kzz_T_temperature*Tzz+Tr*rho_T_temperature*C_T_temperature*u_T_temperature+Tz*rho_T_temperature*C_T_temperature*v_T_temperature-Q_T_temperature+rho_temperature*C_temperature*Tt) r*Dts_T_temperature*rho_T_temperature*C_T_temperature 0 epsilonrrr_Voltage Dr_Voltage-epsilon0_Voltage*Er_Voltage 0 Dz_Voltage-epsilon0_Voltage*Ez_Voltage 0 2.2 0 0 2.2 0 0 0 0 0 1 Vp_r Vp_z GF2-Rpn-Rpe 0 0 0 0 0 1 Ve_r Ve_z -GF2+Rpe+EA 0 0 0 0 0 1 Vn_r Vn_z -EA+Rpn 0.138 1 890 1 (qp-qn-qe*muend)*normE_Voltage^2 0 0 Lag2 Lag2 0 0.5 1 gls 0.25 0 0.01[K]/helem_T_temperature 1 0.138 0.138 0 0 0.138 890 1 1 0 0 (qp-qn-qe*muend)*normE_Voltage^2 Er_Voltage Er_Voltage -Vp_r -Vp_z -muend*Er_Voltage -muend*Ez_Voltage 0 Af2nd*normE_Voltage*exp(-Bf2nd/normE_Voltage) 0 Af3nd*normE_Voltage*exp(-Bf3nd/normE_Voltage) 0 Aand*exp(-Band/normE_Voltage) abs(qe)/teand 0 KRnd*abs(qp*qn) KRnd*abs(qp*qe) {0} {0} {1} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","0","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","0","0"} {"0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,V)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,V)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,V)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qp)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qp)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qp)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qe)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qe)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qe)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,qn)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,qn)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,qn)","0","0","-d(-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp,T)","-d(-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe,T)","-d(-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn,T)","0"} {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"-d(-V+V0_Voltage,V)","0","0","0","0","-d(-V+V0_Voltage,qp)","0","0","0","0","-d(-V+V0_Voltage,qe)","0","0","0","0","-d(-V+V0_Voltage,qn)","0","0","0","0","-d(-V+V0_Voltage,T)","0","0","0","0"} {"-d(-V,V)","0","0","0","0","-d(-V,qp)","0","0","0","0","-d(-V,qe)","0","0","0","0","-d(-V,qn)","0","0","0","0","-d(-V,T)","0","0","0","0"} {"0","0","0","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","0","0"} {"0","-r*(nr_positive*u_qp_positive+nz_positive*v_qp_positive)*qp","-r*(nr_electron*u_qe_electron+nz_electron*v_qe_electron)*qe","-r*(nr_negative*u_qn_negative+nz_negative*v_qn_negative)*qn","0"} {"0","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"-V+V0_Voltage","0","0","0","0"} {"-V","0","0","0","0"} 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnr+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Er_Voltage) -0.5*(up(Dr_Voltage)*up(Er_Voltage)+up(Dz_Voltage)*up(Ez_Voltage))*dnz+(dnr*up(Dr_Voltage)+dnz*up(Dz_Voltage))*up(Ez_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unr+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Er_Voltage) -0.5*(down(Dr_Voltage)*down(Er_Voltage)+down(Dz_Voltage)*down(Ez_Voltage))*unz+(unr*down(Dr_Voltage)+unz*down(Dz_Voltage))*down(Ez_Voltage) unTEr_Voltage+unTMr_Voltage 0 unTEz_Voltage+unTMz_Voltage 0 dnTEr_Voltage+dnTMr_Voltage 0 dnTEz_Voltage+dnTMz_Voltage 0 r unr*(down(Dr_Voltage)-up(Dr_Voltage))+unz*(down(Dz_Voltage)-up(Dz_Voltage)) nr_positive*dflux_qp_r_positive+nz_positive*dflux_qp_z_positive nr_positive*cflux_qp_r_positive+nz_positive*cflux_qp_z_positive nr_positive*tflux_qp_r_positive+nz_positive*tflux_qp_z_positive nr_electron*dflux_qe_r_electron+nz_electron*dflux_qe_z_electron nr_electron*cflux_qe_r_electron+nz_electron*cflux_qe_z_electron nr_electron*tflux_qe_r_electron+nz_electron*tflux_qe_z_electron nr_negative*dflux_qn_r_negative+nz_negative*dflux_qn_z_negative nr_negative*cflux_qn_r_negative+nz_negative*cflux_qn_z_negative nr_negative*tflux_qn_r_negative+nz_negative*tflux_qn_z_negative nr_temperature*dflux_T_r_temperature+nz_temperature*dflux_T_z_temperature nr_temperature*cflux_T_r_temperature+nz_temperature*cflux_T_z_temperature nr_temperature*tflux_T_r_temperature+nz_temperature*tflux_T_z_temperature 0 0 Vapp Vapp 0 1 1 nr nz 0 0 reacf(V) 1 nr nz 0 0 0 1 nr nz 0 0 0 1 nr nz 0 0 0 0 273.15 0 1 nr nz 0 273.15 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,2,2,3,3,3,3,1,1,1,1,1,4,4,1,2,4,2,1,4} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} {"0","0","0","0","0"} 1 2 3 4 5 1 1 1 1 1 1 {"","","","",""} {"","","","",""} {"V","qp","qe","qn","T"} 0 0 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 8.854187817000001e-012 130000[V] elcplextr {"1"} dVol_Voltage 1 {"1"} 1 {"1","2","3","4","5","6","7","8","9","10","11","12","13","14","15","16","17","18","19","20","21","22","23","24"} {"dVol_Voltage"} local {"r","z"} elcplscalar {"1"} 0.5*(normE_Voltage^2) (qp-qn-qe*muend)*(normE_Voltage^2) ref ref 4 4 {"1"} {"Energy","Power"} {"1","2"} {}

1e-9[(m^2)/(V*s)] 1e-4[(m^2)/(V*s)] 8.854e-12[F/m] 2.2 0.138[W/(m*K)] 1.67e3[J/(kg*K)] 890[kg/m^3] 2e-7[s] 1.602e-19[C] 9.109e-31[kg] 0123456789 3e5[V] 25e-3[m] epsr*eps0 Vb/Lb epsb*Vb/Lb^2 epsb*mub*Vb^2/Lb^4 mub*Vb q*mub/epsb Lb^2/(mub*Vb) (epsb*mub*Vb)/Lb^3 0123456789 3.14159265 6.626e-34[(m^2)*kg/s] 0123456789 1.65e-17[m^3/s] KR/KRb 0123456789 1.3e5[V] Va/Vb 1e-9/tb[s] tea/tb 300[K] TT/TTb (epsb*Vb^2)/(rho*Cv*(Lb^2)) kT/(mub*Vb*rho*Cv) mue/mub 0123456789 0123456789 1e23[m^-3] 3e-10[m] q*6.2[J] 0.1*me[kg] q^2*n2*a2/hp[F/((m^2)*s)] pi^2*m2*a2*ie2^2/(q*hp^2)[V/m] Af2/Afb Bf2/Eb 0123456789 1e25[m^-3] 3e-10[m] q*9.86[J] 0.1*me[kg] q^2*n3*a3/hp[F/m^2-s] Af3/Afb pi^2*m3*a3*ie3^2/(q*hp^2)[V/m] Bf3/Eb kT/(mub*Vb*rho*Cv) hp Planck's constant Db base diffustion n3 3MM density of ionization species kT thermal conductivity of mineral oil n2 2MM density of ionization species ie2 2MM ionization energy Cv specific heat of mineral oil ie3 3MM ionization energy tea electron attechment time epsb base permitivitty mue electron mobility Bf3 3MM exponential term Bf2 2MM exponential term tb base time Af2 2MM pre-exponential coefficient term mub positive ion mobility Af3 3MM pre-exponential coefficient term a2 2MM melucular speration distance a3 3MM molecular speration distance me free electron mass qNb base charge density Lb base length rho mass density of mineral oil eps0 permittivity of free space tnsnd non-dimensionalized nano-second time TTb base temperature KR recombination coefiicient ion-ion and ion-electron Gb base charge generation rate Afb base field ionization pre-exponential coefficient Eb base electric field epsr relative permmitivity of transformer oil m2 2MM effective electron mass m3 3MM effective electron mass[kg] Va applied voltage KRb base recombination rate Vb base voltage q elementary charge pi PI TT nominal temperature {0} {0} Voltage weak SI uq~ t` off time time auto 1.0E-6 25 tol 100 1 off on off 1.0 1.0E-4 10.0 off on 0.0010 25 lumped automatic auto on 1 4 tol 10 1 off const 1.0 minimal 1.0 1.0E-2 10.0 0.0010 0.01 range(0,4.8e-9,4.8e-8) 0 4.8e-8 4.8e-9 2 step none tlist free bdf_ida 0.01 off 15 off on on on on on on off on on 0.0010 5 1 0.1 0.75 linear off off maybe bweuler 0 off 6 0 300 0.0 0 lambda 0 step none off 1 off 0.0 0.0 0.0 on auto off nonsym eliminate auto 1000 on auto on off off on off currgeom l2 10000000 longest weak on 0 1 2 1 fltpft 2 1.7 0.5 0.5 on off off sensitivity adjoint on cholesky analytic 500 10 1.0e-6 1.0e-6 1.0e-6 1.0e-6 0 off qp,T,V,qe,qn V on init_storedsol_radio Automatic 0 u_storedsol_radio Automatic 0 off off off off umfpack linsolver 0.0 0.1 0.7 nd on off mmd on 1.0E-8 on off tol 2 1.0e-3 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on V 1e-3 1 umfpack linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on 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20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 2 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 3 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 4 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 5 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery off off off Geom1 0 off off off 1065861 COMSOL 3.5.0.608 1328877148778 1328004858625 off html off a4 off full off Geom1 post 4 -0.004562028713303597 0.005972715097422857 0.016671519370956307 0.024343127316456915 -1.0 1.0 0.0010 0.0010 0.01 -5.267371905363227 5.267371905363227 -3.8358039727503046 3.8358039727503046 0.70534319205963 20.50732334370661 52.67371905363227 0.70534319205963 20.50732334370661 0.0 0.0 1.0 0.0 point headlight on 255 255 255 0.7053432 20.507324 52.673717 directional light 1 on 255 255 255 1.0 -1.0 1.0 directional light 2 on 255 255 255 -1.0 1.0 -1.0 directional light 3 on 255 255 255 -1.0 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none off off {"V"} on on off V {"V"} off V Rainbow off on on 255,0,0 interp off sub {"Er_Voltage","Ez_Voltage"} off V/m {"",""} off {"V"} off V 15 off 15 off step none step none arrow proportional 255,0,0 on 1 off {"","","","","","","","","","","",""} off {"V"} off V 8 off 8 off step none step none arrow proportional 0,153,0 on 1 off {"Er_Voltage","Ez_Voltage"} V/m off 255,0,0 {"V"} V Rainbow off on {"V"} off V 20 sub off step none step none 0.001 0.01 0.01 Inf 5000 on off 0.05 20 off 1 0.5 1.3 0.5 none off mass lines emforce_Voltage charge,partq,-1.602e-19 9.1095e-31 {"partq*Er_Voltage","0","partq*Ez_Voltage"} {"Er_Voltage","Ez_Voltage"} V/m on {"0","0","0"} partstart_explicit 10 off step none {"0","0"} step none step none off 255,0,0 {"V"} V Rainbow off on 255,0,0 on 1 once step none stick 0.001 off {""} {""} off on on 0.001 partt off 5 0.001 off {"",""} {"",""} off on on 0.001 {"partu","partv","partw"} partt off 5 off {"V"} off on V {"V"} off off V on off on 3 {"Geom1"} 0 0 stored step none on on off all on off off on on {"Er_Voltage","Ez_Voltage"} V/m {"",""} on 1 0 stored step none moviefile AVI 640 480 10 full 11 off off off {"V"} off V 0 0 stored step none off auto 4 on {"V"} off V*m 0 0 stored step none off auto 4 on {"V"} off V*m^2 0 0 stored step none {"V"} on on off V Rainbow off on on 255,0,0 interp fill off {"V"} on off V arc off {"V"} V solid cyclecolor none off off 255,0,0 Rainbow off on on 255,0,0 interp fill {"V"} off V off {"V"} V solid cyclecolor none off off 255,0,0 255,0,0 0 0 stored step none on on on {"lin","lin"} on on 1 0 off {"normE_Voltage"} off V/m arc off {"V"} V solid cyclecolor none off off 255,0,0 Rainbow off on on 255,0,0 interp fill 200 {"0","0","18e-3","-7e-3"} 5 off off step none {"V"} off V off {"V"} V*m^2 solid cyclecolor none off off 255,0,0 {"0","0"} step none step none 255,0,0 0 0 stored step none on on on {"lin","lin"} on 0 {"V"} off V element 2 {"V"} off off V element 2 {"V"} off off V 10 off 10 off step none step none element 2 0 0 stored step none on ptd off 2 coorddata off off on 0 0 stored step none step none {"V"} off V {"0","0"} {} {} off solid cyclecolor none off off 255,0,0 on on on {"lin","lin"} 0 0 stored step none {} {} {} 0 0,1,0,0,0,1,0,0,0 0,1,0,0,0,0,1,0,0,0,0,1 Geom1 10 0 up on off 128,128,128 off on 192,192,192 on 0,0,0 off all 1 random Rainbow off on uq~ q~uq~ srcom.femlab.geom.Geom2Vc/Oxrcom.femlab.geom.Geom͹6{L geomAssoctLcom/femlab/geom/GeomAssoc;Lversionq~xpwq~wur[BTxpGeom2|=-C6?~jt~jt~jt~jt? 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D I N S X ] b g l q v {                             %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx}      " ' , 1 6 ; @ E J O T Y ^ c h m r w |                           !! !!!!!!&!+!0!5!:!?!D!I!N!S!X!]!b!g!l!q!v!{!!!!!!!!!!!!!!!!!!!!!!!!!!!"" """" "%"*"/"4"9">"C"H"M"R"W"\"a"f"k"p"u"z"""""""""""""""""""""""""""## #####$#)#.#3#8#=#B#G#L#Q#V#[#`#e#j#o#t#y#~##########################$$ $$$$$#$($-$2$7$<$A$F$K$P$U$Z$_$d$i$n$s$x$}$$$$$$$$$$$$$$$$$$$$$$$$$$$% %%%%%"%'%,%1%6%;%@%E%J%O%T%Y%^%c%h%m%r%w%|%%%%%%%%%%%%%%%%%%%%%%%%%%%&& &&&&!&&&+&0&5&:&?&D&I&N&S&X&]&b&g&l&q&v&{&&&&&&&&&&&&&&&&&&&&&&&&&&&'' '''' '%'*'/'4'9'>'C'H'M'R'W'\'a'f'k'p'u'z'''''''''''''''''''''''''''(( ((((($()(.(3(8(=(B(G(L(Q(V([(`(e(j(o(t(y(~(((((((((((((((((((((((((()) )))))#)()-)2)7)<)A)F)K)P)U)Z)_)d)i)n)s)x)})))))))))))))))))))))))))))* *****"*'*,*1*6*;*@*E*J*O*T*Y*^*c*h*m*r*w*|***************************++ ++++!+&+++0+5+:+?+D+I+N+S+X+]+b+g+l+q+v+{+++++++++++++++++++++++++++,, ,,,, ,%,*,/,4,9,>,C,H,M,R,W,\,a,f,k,p,u,z,,,,,,,,,,,,,,,,,,,,,,,,,,,-- -----$-)-.-3-8-=-B-G-L-Q-V-[-`-e-j-o-t-y-~--------------------------.. .....#.(.-.2.7.<.A.F.K.P.U.Z._.d.i.n.s.x.}.........................../ /////"/'/,/1/6/;/@/E/J/O/T/Y/^/c/h/m/r/w/|///////////////////////////00 0000!0&0+00050:0?0D0I0N0S0X0]0b0g0l0q0v0{00000000000000000000000000011 1111 1%1*1/14191>1C1H1M1R1W1\1a1f1k1p1u1z11111111111111111111111111122 22222$2)2.23282=2B2G2L2Q2V2[2`2e2j2o2t2y2~2222222222222222222222222233 33333#3(3-32373<3A3F3K3P3U3Z3_3d3i3n3s3x3}3333333333333333333333333334 44444"4'4,41464;4@4E4J4O4T4Y4^4c4h4m4r4w4|44444444444444444444444444455 5555!5&5+50555:5?5D5I5N5S5X5]5b5g5l5q5v5{55555555555555555555555555566 6666 6%6*6/64696>6C6H6M6R6W6\6a6f6k6p6u6z66666666666666666666666666677 77777$7)7.73787=7B7G7L7Q7V7[7`7e7j7o7t7y7~7777777777777777777777777788 88888#8(8-82878<8A8F8K8P8U8Z8_8d8i8n8s8x8}8888888888888888888888888889 99999"9'9,91969;9@9E9J9O9T9Y9^9c9h9m9r9w9|999999999999999999999999999:: ::::!:&:+:0:5:::?:D:I:N:S:X:]:b:g:l:q:v:{:::::::::::::::::::::::::::;; ;;;; ;%;*;/;4;9;>;C;H;M;R;W;\;a;f;k;p;u;z;;;;;;;;;;;;;;;;;;;;;;;;;;;<< <<<<<$<)<.<3<8<=<B<G<L<Q<V<[<`<e<j<o<t<y<~<<<<<<<<<<<<<<<<<<<<<<<<<<== =====#=(=-=2=7=<=A=F=K=P=U=Z=_=d=i=n=s=x=}===========================> >>>>>">'>,>1>6>;>@>E>J>O>T>Y>^>c>h>m>r>w>|>>>>>>>>>>>>>>>>>>>>>>>>>>>?? ????!?&?+?0?5?:???D?I?N?S?X?]?b?g?l?q?v?{???????????????????????????@@ @@@@ @%@*@/@4@9@>@C@H@M@R@W@\@a@f@k@p@u@z@@@@@@@@@@@@@@@@@@@@@@@@@@@AA AAAAA$A)A.A3A8A=ABAGALAQAVA[A`AeAjAoAtAyA~AAAAAAAAAAAAAAAAAAAAAAAAAABB BBBBB#B(B-B2B7BECEHEMEREWE\EaEfEkEpEuEzEEEEEEEEEEEEEEEEEEEEEEEEEEEFF FFFFF$F)F.F3F8F=FBFGFLFQFVF[F`FeFjFoFtFyF~FFFFFFFFFFFFFFFFFFFFFFFFFFGG GGGGG#G(G-G2G7GJCJHJMJRJWJ\JaJfJkJpJuJzJJJJJJJJJJJJJJJJJJJJJJJJJJJKK KKKKK$K)K.K3K8K=KBKGKLKQKVK[K`KeKjKoKtKyK~KKKKKKKKKKKKKKKKKKKKKKKKKKLL LLLLL#L(L-L2L7LOCOHOMOROWO\OaOfOkOpOuOzOOOOOOOOOOOOOOOOOOOOOOOOOOOPP PPPPP$P)P.P3P8P=PBPGPLPQPVP[P`PePjPoPtPyP~PPPPPPPPPPPPPPPPPPPPPPPPPPQQ QQQQQ#Q(Q-Q2Q7QTCTHTMTRTWT\TaTfTkTpTuTzTTTTTTTTTTTTTTTTTTTTTTTTTTTUU UUUUU$U)U.U3U8U=UBUGULUQUVU[U`UeUjUoUtUyU~UUUUUUUUUUUUUUUUUUUUUUUUUUVV VVVVV#V(V-V2V7VYCYHYMYRYWY\YaYfYkYpYuYzYYYYYYYYYYYYYYYYYYYYYYYYYYYZZ ZZZZZ$Z)Z.Z3Z8Z=ZBZGZLZQZVZ[Z`ZeZjZoZtZyZ~ZZZZZZZZZZZZZZZZZZZZZZZZZZ[[ [[[[[#[([-[2[7[<[A[F[K[P[U[Z[_[d[i[n[s[x[}[[[[[[[[[[[[[[[[[[[[[[[[[[[\ \\\\\"\'\,\1\6\;\@\E\J\O\T\Y\^\c\h\m\r\w\|\\\\\\\\\\\\\\\\\\\\\\\\\\\]] ]]]]!]&]+]0]5]:]?]D]I]N]S]X]]]b]g]l]q]v]{]]]]]]]]]]]]]]]]]]]]]]]]]]]^^ ^^^^ ^%^*^/^4^9^>^C^H^M^R^W^\^a^f^k^p^u^z^^^^^^^^^^^^^^^^^^^^^^^^^^^__ _____$_)_._3_8_=_B_G_L_Q_V_[_`_e_j_o_t_y_~__________________________`` `````#`(`-`2`7`<`A`F`K`P`U`Z`_`d`i`n`s`x`}```````````````````````````a aaaaa"a'a,a1a6a;a@aEaJaOaTaYa^acahamarawa|aaaaaaaaaaaaaaaaaaaaaaaaaaabb bbbb!b&b+b0b5b:b?bDbIbNbSbXb]bbbgblbqbvb{bbbbbbbbbbbbbbbbbbbbbbbbbbbcc cccc c%c*c/c4c9c>cCcHcMcRcWc\cacfckcpcuczcccccccccccccccccccccccccccdd ddddd$d)d.d3d8d=dBdGdLdQdVd[d`dedjdodtdyd~ddddddddddddddddddddddddddee eeeee#e(e-e2e7ehChHhMhRhWh\hahfhkhphuhzhhhhhhhhhhhhhhhhhhhhhhhhhhhii iiiii$i)i.i3i8i=iBiGiLiQiVi[i`ieijioitiyi~iiiiiiiiiiiiiiiiiiiiiiiiiijj jjjjj#j(j-j2j7jmCmHmMmRmWm\mamfmkmpmumzmmmmmmmmmmmmmmmmmmmmmmmmmmmnn nnnnn$n)n.n3n8n=nBnGnLnQnVn[n`nenjnontnyn~nnnnnnnnnnnnnnnnnnnnnnnnnnoo ooooo#o(o-o2o7oCHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{     % * / 4 9 > C H M R W \ a f k p u z        $ ) . 3 8 = B G L Q V [ ` e j o t y ~      # ( - 2 7 < A F K P U Z _ d i n s x }      " ' , 1 6 ; @ E J O T Y ^ c h m r w |      ! & + 0 5 : ? 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#(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz $).38=BGLQV[`ejoty~ #(-27<AFKPUZ_dinsx} "',16;@EJOTY^chmrw| !&+05:?DINSX]bglqv{  %*/49>CHMRW\afkpuz       $ ) . 3 8 = B G L Q V [ ` e j o t y ~                                 # ( - 2 7 < A F K P U Z _ d i n s x }                                 " ' , 1 6 ; @ E J O T Y ^ c h m r w |                                 ! & + 0 5 : ? 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