Explicit exact solutions for plane shock waves in dilute polyatomic gases

Abstract The exact solutions for the Navier–Stokes–Fourier equations in the case of plane shock waves for dilute monatomic gases with constant transport coefficients were found by Becker in 1922. The solutions obtained are limited for a Prandtl's number given by . Besides the solutions for the speed and temperature, profiles were given in an implicit way. In this paper, we consider Becker's model to find some exact explicit solutions for dilute polyatomic gases.

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Publication Details

Journal
Studies in Applied Mathematics
Published
2024-10-25
DOI
https://doi.org/10.1111/sapm.12776
Primary Topic
Gas Dynamics and Kinetic Theory
Type
article
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article

Explicit exact solutions for plane shock waves in dilute polyatomic gases

F. J. Uribe, Wilson Marques, R. M. Velasco
Studies in Applied Mathematics
Gas Dynamics and Kinetic Theory
article

Explicit exact solutions for plane shock waves in dilute polyatomic gases

F. J. Uribe, Wilson Marques, R. M. Velasco
article en

Abstract

Abstract The exact solutions for the Navier–Stokes–Fourier equations in the case of plane shock waves for dilute monatomic gases with constant transport coefficients were found by Becker in 1922. The solutions obtained are limited for a Prandtl's number given by . Besides the solutions for the speed and temperature, profiles were given in an implicit way. In this paper, we consider Becker's model to find some exact explicit solutions for dilute polyatomic gases.

Studies in Applied MathematicsVol. 153(4)
Universidad Autónoma Metropolitana (MX), Universidade Federal do Paraná (BR)
Openalex Percentile: Top 69%
Gas Dynamics and Kinetic Theory
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