Entropy of the liquid-vapour mixture of a thermo-capillary fluid
type: Item
instance of: scholarly article
title: Entropy of the liquid-vapour mixture of a thermo-capillary fluid
zbMATH Open document ID: 0828.76083
DOI: 10.1007/BF00380793
author: Denis Serre
published in: Archive for Rational Mechanics and Analysis
publication date: 1996-01-15T00:00:00Z
review text: This paper considers a thermocapillary van der Waals fluid where two stable phases (liquid and vapour) are separated by a spinodal (unstable) zone. The contribution of capillarity to the internal energy and the viscosity accounting for stability are both taken into account. The equation of state describing the mixture is studied by means of an asymptotic expansion, whose stability depends on the viscosity in spite that the mixture model itself does not depend on it. Most of the paper is devoted to one-dimensional systems. The last section is devoted to multidimensional problems. The entropy of mixing is seen to depend on the dimension of the system. One of the original points in the work is that it does not make any a priori hypothesis concerning the spatial arrangement of the two phases, which are distributed in such a way to minimize the disorder.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 754023
zbMATH Keywords: asymptotic methods
zbMATH Keywords: van der Waals fluid
zbMATH Keywords: internal energy
zbMATH Keywords: viscosity
zbMATH Keywords: stability
zbMATH Keywords: one-dimensional systems
reviewed by: D. Jou
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 754023