Navier-Stokes Equations and Bulk Viscosity for a Polyatomic Gas with Temperature-Dependent Specific Heats

被引：8

作者：

Kosuge, Shingo ^{[1
]}

Aoki, Kazuo ^{[2
]}

机构：

[1] Kyoto Univ, Inst Liberal Arts & Sci, Kyoto 6068501, Japan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

来源：

FLUIDS | 2023年 / 8卷 / 01期

关键词：

polyatomic gases; bulk viscosity; Navier-Stokes equations; ES model; shock-wave structure; thermally perfect gases; KINETIC-MODEL; BGK MODEL; RELAXATION; PRESSURE;

D O I：

10.3390/fluids8010005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A system of Navier-Stokes-type equations with two temperatures is derived, for a polyatomic gas with temperature-dependent specific heats (thermally perfect gas), from the ellipsoidal statistical (ES) model of the Boltzmann equation extended to such a gas. Subsequently, the system is applied to the problem of shock-wave structure for a gas with large bulk viscosity (or, equivalently, with slow relaxation of the internal modes), and the numerical results are compared with those based on the ordinary Navier-Stokes equations. It is shown that the latter equations fail to describe the double-layer structure of shock profiles for a gas with large bulk viscosity.

引用

页数：22

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