Sound velocity in five-component air mixtures of various densities

N. V. Bogdanova, M. A. Rydalevskaya

Research output

Abstract

The local equilibrium flows of five-component air mixtures are considered. Gas dynamic equations are derived from the kinetic equations for aggregate values of collision invariants. It is shown that the traditional formula for sound velocity is true in air mixtures considered with the chemical reactions and the internal degrees of freedom. This formula connects the square of sound velocity with pressure and density. However, the adiabatic coefficient is not constant under existing conditions. The analytical expression for this coefficient is obtained. The examples of its calculation in air mixtures of various densities are presented.

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acoustic velocity
air
equilibrium flow
gas dynamics
coefficients
kinetic equations
chemical reactions
degrees of freedom
collisions

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Sound velocity in five-component air mixtures of various densities",
abstract = "The local equilibrium flows of five-component air mixtures are considered. Gas dynamic equations are derived from the kinetic equations for aggregate values of collision invariants. It is shown that the traditional formula for sound velocity is true in air mixtures considered with the chemical reactions and the internal degrees of freedom. This formula connects the square of sound velocity with pressure and density. However, the adiabatic coefficient is not constant under existing conditions. The analytical expression for this coefficient is obtained. The examples of its calculation in air mixtures of various densities are presented.",
author = "Bogdanova, {N. V.} and Rydalevskaya, {M. A.}",
year = "2018",
month = "5",
day = "2",
doi = "10.1063/1.5034664",
language = "English",
volume = "1959",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",

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AU - Bogdanova, N. V.

AU - Rydalevskaya, M. A.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The local equilibrium flows of five-component air mixtures are considered. Gas dynamic equations are derived from the kinetic equations for aggregate values of collision invariants. It is shown that the traditional formula for sound velocity is true in air mixtures considered with the chemical reactions and the internal degrees of freedom. This formula connects the square of sound velocity with pressure and density. However, the adiabatic coefficient is not constant under existing conditions. The analytical expression for this coefficient is obtained. The examples of its calculation in air mixtures of various densities are presented.

AB - The local equilibrium flows of five-component air mixtures are considered. Gas dynamic equations are derived from the kinetic equations for aggregate values of collision invariants. It is shown that the traditional formula for sound velocity is true in air mixtures considered with the chemical reactions and the internal degrees of freedom. This formula connects the square of sound velocity with pressure and density. However, the adiabatic coefficient is not constant under existing conditions. The analytical expression for this coefficient is obtained. The examples of its calculation in air mixtures of various densities are presented.

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U2 - 10.1063/1.5034664

DO - 10.1063/1.5034664

M3 - Conference article

AN - SCOPUS:85047201992

VL - 1959

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

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