Model Kinetic Equations and the Description of Gas Flows at Various Relaxation Stages

Research output

Abstract

Various relaxation stages in high-velocity and high-temperature gases with physicochemical processes are considered on the basis of model kinetic equations. Macroscopic equations are derived in the zero approximation of the modified Chapman–Enskog method and expressions for the flow members of gas-dynamic equations in terms of intensive and extensive parameters are deduced. A formula for the velocity of sound (as the velocity of propagation of small perturbations) is derived using the parameter æ, which is not a constant under the considered conditions.

Original languageEnglish
Pages (from-to)169-174
Number of pages6
JournalVestnik St. Petersburg University: Mathematics
Volume51
Issue number2
DOIs
Publication statusPublished - 1 Apr 2018

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Gas Flow
Kinetic Equation
Gas Dynamics
Dynamic Equation
Small Perturbations
Model
Propagation
Zero
Approximation

Scopus subject areas

  • Mathematics(all)

Cite this

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abstract = "Various relaxation stages in high-velocity and high-temperature gases with physicochemical processes are considered on the basis of model kinetic equations. Macroscopic equations are derived in the zero approximation of the modified Chapman–Enskog method and expressions for the flow members of gas-dynamic equations in terms of intensive and extensive parameters are deduced. A formula for the velocity of sound (as the velocity of propagation of small perturbations) is derived using the parameter {\ae}, which is not a constant under the considered conditions.",
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