The thermodynamic structure of the two-component model of porous incompressible materials with true mass densities
type: Item
instance of: scholarly article
title: The thermodynamic structure of the two-component model of porous incompressible materials with true mass densities
zbMATH Open document ID: 0868.73012
DOI: 10.1016/0093-6413(95)00009-7
author: Joachim Bluhm
author: R. de Boer
author: Krzysztof Wilmanski
published in: Mechanics Research Communications
publication date: 1997-08-26T00:00:00Z
review text: This paper presents the thermodynamic foundations of a new binary model of an incompressible porous solid saturated with an incompressible liquid. In the previous thermodynamic theory by \textit{R. M. Bowen} [Int. J. Eng. Sci. 18, 1129-1148 (1980; Zbl 0446.73005)] the incompressibility of the \(N\) fluid components was reflected solely by one single scalar constraint, instead of the expected \(N+1\) constraints. Here, additional field equations are proposed following from the balance of the so-called true densities (defined as the ratio of the usual density to the corresponding normalized porosity). This yields the expected number of constraints. The new theory, thermodynamic formulation of which is carried out in the framework of rational thermodynamics [\textit{C. Truesdell}, Rational Thermodynamics, Springer (1984; Zbl 0559.00016)], has, amongst other advantages, the possibility to formulate coherently some boundary problems which led to contradictions in the previous theory. Numerical applications of the theory will be carried out in forthcoming publications.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 761074
zbMATH Keywords: thermodynamics of mixtures
zbMATH Keywords: porous media
reviewed by: D. Jou
MaRDI profile type: Publication
full work available at URL: 0093-6413(95)00009-7
OpenAlex ID: W2083343122
description: scientific article; zbMATH DE number 761074