Liquid-Gas Coexistence Equilibrium in a Relaxation Model

WANG Ping; TANG Shao-qiang

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WANG Ping, TANG Shao-qiang. Liquid-Gas Coexistence Equilibrium in a Relaxation Model[J]. Applied Mathematics and Mechanics, 2005, 26(6): 707-713.

Citation:

WANG Ping, TANG Shao-qiang. Liquid-Gas Coexistence Equilibrium in a Relaxation Model[J]. Applied Mathematics and Mechanics, 2005, 26(6): 707-713.

Citation:

WANG Ping, TANG Shao-qiang. Liquid-Gas Coexistence Equilibrium in a Relaxation Model[J]. Applied Mathematics and Mechanics, 2005, 26(6): 707-713.

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Liquid-Gas Coexistence Equilibrium in a Relaxation Model

WANG Ping¹,
TANG Shao-qiang²

1.
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China;
LTCS, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

Received Date: 2003-07-08
Rev Recd Date: 2004-11-30
Publish Date: 2005-06-15

Abstract

Abstract

Stability of liquid-gas coexistence equilibrium in a relaxation model for isothermal phase transition in a sealed one-dimensional tube was discussed.With matched asymptotic expansion,a linear system for first order perturbations was derived formally.By solving this system analytically,it is shown that small initial perturbations are damped out in general;yet they may maintain at certain level for special cases.Numerical evidence is presented.This manifests the regularization effects of relaxation.
- phase transition,
- relaxation,
- matched asymptotic expansion

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References(12)

References

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