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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v43.i3.30
pages 228-236

INCREASE IN RATES OF KINETIC PROCESSES INSIDE THE BIMODAL HYPERSONIC SHOCK WAVE

M. M. Kuznetsov
Moscow Regional State University, Russia
Yu. D. Kuleshova
Moscow Regional State University, Russia

RÉSUMÉ

The problem on the influence of nonequilibrium (non-Maxwell) translational energy distributions over freedom degrees of molecules upon the velocity of inelastic binary collisions with activation threhold energy in the hypersonic shock wave is considered. The method is based on the bimodal Tamm−Mott−Smith approximation of the distribution function of molecules as applied to the analysis of rates of barrier chemical processes. Based on this model the expressions are obtained in explicit form for the distribution function of molecule pairs and frequencies of inelastic binary collisions with energy threshold that allow for the effect of translational nonequilibrium in the hypersonic shock wave. These expressions take into account the anisotropy of a temperature field in the hypersonic shock wave. This fact is of importance for a physical experiment where in the course of numerical calculations the influence of the temperature anisotropy on chemical reaction constants was only estimated. It is shown that in one-component, polyatomic gases with inelastic collisions in the high-velocity "tail" of the bimodal Tamm−Mott−Smith distribution function of molecule pairs, earlier known as the "overlapping" effect, i.e., the excess of the number Nneq of high-velocity pairs inside the wave front over the number Neq in the translational equilibrium zone behind the front, has a maximum in the relative quantity Nneq /Neq


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