Navier-Stokes-Fourier equations as a parabolic limit of a general hyperbolic system of rational extended thermodynamics

被引：2

作者：

Arima, Takashi ^{[1
]}

Mentrelli, Andrea ^{[2
,3
]}

Ruggeri, Tommaso ^{[2
,3
]}

机构：

[1] Natl Inst Technol, Tomakomai Coll, Dept Engn Innovat, Tomakomai, Japan

[2] Univ Bologna, Dept Math, Bologna, Italy

[3] Univ Bologna, Alma Mater Res Ctr Appl Math AM2, Bologna, Italy

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2023年 / 151卷

关键词：

Rational extended thermodynamics; Maxwellian iteration; Parabolic limit; GALILEAN INVARIANCE; ENTROPY PRINCIPLE; POLYATOMIC-GAS;

D O I：

10.1016/j.ijnonlinmec.2023.104379

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper aims to prove that a general system of 14 balance laws for a compressible, possibly dense, gas that satisfies the universal principles of Rational Extended Thermodynamics (RET) converges to the Navier-Stokes- Fourier equations in the first step of the Maxwellian iteration. Moreover, in a theory not far from equilibrium, we show that the production terms of the hyperbolic system are uniquely determined as soon as the heat conductivity, the shear viscosity, and the bulk viscosity are assigned. The obtained results are tested on the RET theories for rarefied monatomic and polyatomic gases.

引用

页数：5

共 16 条

[11] SYMMETRIC-HYPERBOLIC SYSTEM OF CONSERVATIVE EQUATIONS FOR A VISCOUS HEAT CONDUCTING FLUID [J].

RUGGERI, T .

ACTA MECHANICA, 1983, 47 (3-4) :167-183

[12] Galilean invariance and entropy principle for systems of balance laws The structure of extended thermodynamics [J].

Ruggeri, T. .

CONTINUUM MECHANICS AND THERMODYNAMICS, 1989, 1 (01) :3-20

[13]

Ruggeri T., 1981, Annales de l'Institut Henri Poincare, Section A (Physique Theorique), V34, P65

[14]

RUGGERI T., 2015, Rational Extended Thermodynamics beyond the Monatomic Gas

[15]

Ruggeri T., 2021, Classical and relativistic rational extended thermodynamics of gases

[16] Maximum entropy principle closure for 14-moment system for a non-polytropic gas [J].

Ruggeri, Tommaso .

RICERCHE DI MATEMATICA, 2021, 70 (01) :207-222

← 1 2 →