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1、ModellingofanInductivelyCoupledPlasmaTorch firststepAndr P 1 ClainS 4 DudeckM 3 IzrarB 2 RochetteD1 TouzaniR3 VacherD 1 1 LAEPT ClermontUniversity France2 ICARE Orl ansUniversity France3 InstitutJeanLeRondd Alembert UniversityofParis6 France4 LM ClermontUniversity France Compositioninmolarfraction M
2、ars 97 CO2 3 N2 Titan 97 N2 2 CH4 1 Ar ICPTorch atmosphericpressureLowflowofgazAssumptionsThermalequlibriumChemicalequilibriumOpticalThinplasma SimpleCase Composition Spectrallines Spectroscopymeasurements TransportCoefficients Modelling ThermodynamicProperties Radiativelossterm InteractionPotential
3、s Composition Spectrallines Spectroscopymeasurements TransportCoefficients Modelling ThermodynamicProperties Radiativelossterm InteractionPotentials ChemicalandThermalequilibrium GibbsFreeEnergyminimisationDaltonLawElectricalNeutralityChemicalspecies MarsMonatomicspecies 11 C C C C N N N O O O O Dia
4、tomicspecies 18 C2 C2 C2 CN CN CN CO CO CO N2 N2 N2 NO NO NO O2 O2 O2 Poly atomicspecies 23 C2N C2N2 C2O C3 C3O2 C4 C4N2 C5 CNN CNO CO2 CO2 N2O N2O3 N2O4 N2O5 N2O N3 NCN NO2 NO2 NO3 O3e solidphase graphiteTitan Monatomicspecies 13 Ar Ar Ar C C C C H H H N N N DiatomicSpecies 18 C2 C2 C2 CN CN CN CO
5、CO CO N2 N2 N2 NO NO NO O2 O2 O2 Poly atomicspecies 26 C2H C2H2 C2H4 C2N C2N2 C3 C4 C4N2 C5 CH2 CH3 CH4 CHN CNN H2N H2N2 H3N H4N2 N3 NCN H3 NH4 C2H3 C2H5 C2H6 HCCNe solidphase graphite Tocalculateingasphase weconsiderthetemperaturerange 3000 15000 Mars Titan Mars Titan Composition Spectrallines Spec
6、troscopymeasurements TransportCoefficients Modelling ThermodynamicProperties Radiativelossterm InteractionPotentials Intensitiescalculation Boltzmanndistribution Mars LineCI2582 910 10m Composition Spectrallines Spectroscopymeasurements TransportCoefficients Modelling ThermodynamicProperties Radiati
7、velossterm InteractionPotentials Thermodynamicproperties Massicdensity Internalenergy e Composition Spectrallines Spectroscopymeasurements TransportCoefficients Modelling ThermodynamicProperties Radiativelossterm InteractionPotentials PotentialinteractionsCharged Charged ShieldedwithDebyelengthCoulo
8、mbianpotentialNeutral Neutral LennardJonesPotential evalauteandcombiningrules Charged Neutral DipoleandchargetransferElectrons neutral Bibliographyandestimations Transportcoefficients Chapman EnskogmethodElectricalconductivity thirdorderViscositycoefficient fourthorderTotalthermalconductivityk summa
9、tionoffourtermstranslationalthermalconductivityduetotheelectrons translationalthermalconductivityduetotheheavyspeciesparticles internalthermalconductivity chemicalreactionthermalconductivity AxisymmetryLTEmodelforinductiveplasmatorches LTEflowfieldequations U conservativevariablevectorFr U Fz U conv
10、ectivefluxesGr U Gz U diffusivefluxesS U sourceterm Viscousterms Conductiveheatfluxes Lorentzforce Jouleheating RadiativelosstermPRad Physicalmodel assumptions Classicaltorchgeometry axisymmetricgeometry LocalThermodynamicEquilibrium LTE conditionsfortheplasma Unsteadystate laminar swirlingplasmaflo
11、w tangentialcomponent Opticallythinplasma Negligibleviscousworkanddisplacementcurrent MHDinductionequations B magneticinductionH magneticfieldE electricfieldJandJ0 currentdensityandsourcecurrentdensity magneticpermeability electricconductivity EquationsformulatedintermsofelectricfieldE Numericalmeth
12、od Hydrodynamics threesteps ToobtainanapproximationofthesolutionUoneachcell weuseafractionalsteptechniquecouplingthefinitevolumemethodandthefiniteelementmethod Firststep Tocomputetheconvectivefluxes weuseafinitevolumeschemewithmultislopeMUSCLreconstructionwherethefluxesarecalculatedusingaHLLCscheme
13、Secondstep WeuseaRungeKuttamethodtointegratethesourceterms Thirdstep Weuseafiniteelementmethodtoevaluatethediffusivecontribution ElectromagneticTosolvethepartialdifferentialequation weuseastandardfiniteelementmethodwithastandardtriangulationofthedomainandtheuseofapiecewiselinearapproximation Usingth
14、ecylindricalcoordinates r z andassuming invarianceweobtain BasicdatacompositionIntensitycalculationThermodynamicpropertiesFirstestimationofinteractionpotentialsFirstestimationoftransportcoefficientsFutureUpgradetheinteractionpotentialsEstimatetheaccuracyneedtocalculatethetransportcoefficientsRadiativelossUnderstandtheenergytransferfromtheinductivecoilsModifytheICPtorch
