A note on the kinetic theory of chemically reacting gases

被引:90
作者
Rossani, A
Spiga, G
机构
[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy
[2] Politecn Torino, Dipartimento Matemat, I-10139 Turin, Italy
关键词
kinetic and transport theory; Boltzmann equation; chemical reactions; stability of equilibria; relaxation processes;
D O I
10.1016/S0378-4371(99)00336-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A kinetic approach to a mixture of gases whose particles interact by elastic scattering and by a bimolecular chemical reaction is analyzed by means of the relevant Boltzmann-like equation. Conservation laws and moment equations are considered, and, improving previous results in the literature, equilibria under collision are studied in detail, by providing in particular a strict stability result, which shows relaxation starting from any physically meaningful initial condition. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:563 / 573
页数:11
相关论文
共 7 条
[1]  
Cercignani C, 1988, BOLTZMANN EQUATION I
[2]  
LIGHT J, 1969, KINETIC PROCESSES GA
[3]   FORMAL STUDY OF A CHEMICAL-REACTION BY GRAD EXPANSION OF BOLTZMANN-EQUATION .1. [J].
MOREAU, M .
PHYSICA A, 1975, 79 (01) :18-38
[4]  
Polak L. S., 1985, Soviet Journal of Chemical Physics, V2, P1474
[5]   SOME DEDUCTIONS FROM A FORMAL STATISTICAL MECHANICAL THEORY OF CHEMICAL KINETICS [J].
ROSS, J ;
MAZUR, P .
JOURNAL OF CHEMICAL PHYSICS, 1961, 35 (01) :19-&
[6]   NONEQUILIBRIUM CONTRIBUTIONS TO RATE OF REACTION .1. PERTURBATION OF VELOCITY DISTRIBUTION FUNCTION [J].
SHIZGAL, B ;
KARPLUS, M .
JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (08) :4262-&
[7]   MASS AND MOMENTUM TRANSPORT IN DILUTE REACTING GASES [J].
XYSTRIS, N ;
DAHLER, JS .
JOURNAL OF CHEMICAL PHYSICS, 1978, 68 (02) :354-373