Explicit exact solutions for plane shock waves in dilute polyatomic gases

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2024-10-25 DOI:10.1111/sapm.12776

F. J. Uribe, R. M. Velasco, W. Marques Jr.

引用次数: 0

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 $P r = 3 / 4$ . 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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稀释多原子气体中平面冲击波的显式精确解

贝克尔于 1922 年发现了纳维-斯托克斯-傅里叶方程在具有恒定传输系数的稀释单原子气体平面冲击波情况下的精确解。所得到的解仅限于普朗特数为 P r = 3 / 4 $Pr=3/4$的情况。除了速度和温度的解之外，曲线也是以隐式方式给出的。在本文中，我们将考虑贝克尔模型，为稀释多原子气体找到一些精确的显式解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.