2014
DOI: 10.1063/1.4874257
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Eucken correction in high-temperature gases with electronic excitation

Abstract: A high-order numerical method to study hypersonic boundary-layer instability including high-temperature gas effects Phys. Fluids 23, 084108 (2011) In the present paper, thermal conductivity coefficient of high-temperature molecular and atomic gases with excited electronic states is studied using both the kinetic theory algorithm developed by authors earlier and the well known simple expression for the thermal conductivity coefficient proposed by Eucken and generalized by Hirschfelder. The influence of large co… Show more

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Cited by 22 publications
(7 citation statements)
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References 29 publications
(34 reference statements)
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“…Under this assumption, no internal heat conductivity and bulk viscosity coefficients appear for atomic species, both neutral and ionized, which can cause the loss of accuracy in the transport terms evaluation. Rigorous kinetic theory approaches for transport processes in chemically non-equilibrium ionized flows with electronic degrees of freedom have been proposed recently on the basis of the Chapman-Enskog [18][19][20][21][22][23] and Grad 24,25 methods. Detailed analysis of thermal conductivity coefficients in electronically excited gases shows an important contribution of electronic levels to the thermal conductivity of both near equilibrium and strongly chemically non-equilibrium plasmas.…”
mentioning
confidence: 99%
“…Under this assumption, no internal heat conductivity and bulk viscosity coefficients appear for atomic species, both neutral and ionized, which can cause the loss of accuracy in the transport terms evaluation. Rigorous kinetic theory approaches for transport processes in chemically non-equilibrium ionized flows with electronic degrees of freedom have been proposed recently on the basis of the Chapman-Enskog [18][19][20][21][22][23] and Grad 24,25 methods. Detailed analysis of thermal conductivity coefficients in electronically excited gases shows an important contribution of electronic levels to the thermal conductivity of both near equilibrium and strongly chemically non-equilibrium plasmas.…”
mentioning
confidence: 99%
“…[22]; in Ref. [23] the heat conductivity of electronically excited atoms and molecules under non-equilibrium conditions was studied. It was found that at high temperature the size of atoms influences significantly the collision integrals.…”
Section: Introductionmentioning
confidence: 99%
“…It is known that collision integrals may considerably increase with the rise of principle quantum number [1,11,13]. It is however worth mentioning that implementation of the Slater's approach (18) yields over-predicted transport cross-section and does not account for the resonant processes of excitation and chargeexchange in collisions involving excited atoms or ion-parent atoms [11,28].…”
Section: Transport Coefficientsmentioning
confidence: 99%
“…The objective of the present study is to generalize our previous one-temperature models of high-temperature reacting flows with electronic excitation [10,[12][13][14][15] by including state-to-state kinetics of electronic levels and state-dependent transport coefficients. While the state-to-state model has been widely used in simulations of vibrationally excited flows (see references in [16,11]), its implementation for gases with electronic excitation is just starting [17,18,11,19,20].…”
Section: Introductionmentioning
confidence: 99%