On shock solutions to balance equations for slow and fast chemical reaction

被引：11

作者：

Conforto, F. ^{[2
]}

Groppi, M. ^{[1
]}

Jannelli, A. ^{[2
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

[2] Univ Messina, Dipartimento Matemat, I-98166 Messina, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 02期

关键词：

Chemical reactions; Euler closure; Hyperbolic systems; Entropy principle; Riemann problem;

D O I：

10.1016/j.amc.2008.10.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with shock propagation features in a gas mixture undergoing reversible bimolecular reactions, governed by suitable closures at Euler level of Boltzmann-type equations. Slow and fast chemical processes are considered. At macroscopic level, the slow case is described by a set of balance laws, whereas the fast one yields a set of conservation equations. Within the framework of hierarchies of hyperbolic systems, it is possible to prove that the system governing fast reactions is an equilibrium subsystem of the one describing slow reactions, and then to show how the solutions of the slow system converge to those of the fast system, in case of steady shock problems as well as of Riemann problems. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：892 / 905

页数：14

共 25 条

[1] Hydrodynamic limit for a gas with chemical reactions [J].