Multitemperature kinetic model for heat transfer in reacting gas mixture flows

Heat transfer in a high temperature reacting gas flow is investigated taking into account the influence of strong vibrational and chemical nonequilibrium. Rapid and slow vibrational energy exchanges in a mixture of molecular gases with realistic molecular spectra are taken into account and the deviation from the Boltzmann distribution over vibrational levels is studied. A kinetic theory approach is developed for the modeling of transport properties of a reacting mixture of polyatomic gases and a generalized multitemperature model is given. This theoretical model is applied for the analysis of the heat transfer and diffusion behind a strong shock wave propagating in air. The heat conductivity, diffusion coefficients, and heat flux are calculated on the basis of this model and compared to the one-temperature approach. The influence of anharmonicity of molecular vibrations is evaluated.

[1]  Graham V. Candler,et al.  The computation of hypersonic ionized flows in chemical and thermal nonequlibrium , 1988 .

[2]  Edward A. Mason,et al.  TRANSPORT PROPERTIES OF POLAR GAS MIXTURES , 1962 .

[3]  K. Hassouni,et al.  Electron energy distribution functions and rate and transport coefficients of H2/H/CH4 reactive plasmas for diamond film deposition , 1996 .

[4]  S. A. Losev,et al.  Relaxation in shock waves , 1967 .

[5]  Transport properties of nonequilibrium gas mixtures. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Mario Capitelli,et al.  Molecular physics and hypersonic flows , 1996 .

[7]  R. G. Rehm,et al.  Vibrational Relaxation of Anharmonic Oscillators with Exchange‐Dominated Collisions , 1968 .

[8]  D. D. Drysdale,et al.  Evaluated kinetic data for high temperature reactions , 1972 .

[9]  G. Herzberg,et al.  Infrared and Raman spectra of polyatomic molecules , 1946 .

[10]  G. Uhlenbeck,et al.  Transport phenomena in polyatomic gases , 1951 .

[11]  Roger C. Millikan,et al.  Systematics of Vibrational Relaxation , 1963 .

[12]  Relaxational hydrodynamics from the Boltzmann equation , 1995 .

[13]  S. A. Losev,et al.  Thermochemical nonequilibrium kinetic models in strong shock waves in air , 1994 .

[14]  E. Schoell,et al.  Validation of the Uranus Navier-Stokes code for high-temperature nonequilibrium flows , 1993 .

[15]  Alexandre Ern,et al.  Multicomponent transport algorithms , 1994 .

[16]  Elena Kustova,et al.  Transport properties in reacting mixture of polyatomic gases , 1997 .

[17]  C. Park,et al.  Nonequilibrium Hypersonic Aerothermodynamics , 1989 .

[18]  L. Townsend,et al.  Bulk viscosity as a relaxation parameter: Fact or fiction? , 1996 .

[19]  J. Ferziger,et al.  Mathematical theory of transport processes in gases , 1972 .

[20]  E. Kustova,et al.  Strong nonequilibrium effects on specific heats and thermal conductivity of diatomic gas , 1996 .

[21]  Vladimir V. Riabov,et al.  Approximate calculation of transport coefficients of Earth and Mars atmospheric dissociating gases , 1995 .

[22]  P. V. Marrone,et al.  Chemical Relaxation with Preferential Dissociation from Excited Vibrational Levels , 1963 .

[23]  A. Ern,et al.  Volume viscosity of dilute polyatomic gas mixtures , 1995 .

[24]  M. Capitelli,et al.  Transport properties of high temperature air components: A review , 1995 .

[25]  G. Emanuel Bulk viscosity of a dilute polyatomic gas , 1990 .