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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v14.i3.20
pages 205-217

A NEW CONSTRAINED CONSTITUTIVE EQUATION FOR UNSATURATED FLOWS OF INCOMPRESSIBLE LIQUIDS THROUGH RIGID POROUS MEDIA

Maria Laura Martins-Costa
Universidade Federal Fluminense
Rogerio M. Saldanha da Gama
Mechanical Engineering Department, Universidade do Estado do Rio de Janeiro, Brazil

ABSTRACT

This article proposes a new constitutive model for the partial pressure in unsaturated flows of incompressible liquids through rigid porous media. This constitutive equation for the pressure gives rise to a mathematical description in which the geometrical bound, representing the rigid porous medium assumption, is naturally taken into account—so that only physically meaningful solutions are allowed. A mixture theory approach describes the flow by considering three overlapping continuous constituents, representing the porous matrix (solid constituent), the fluid (liquid constituent), and an inert gas included to account for the compressibility of the mixture as a whole. Examples of Riemann problem solutions showing connections by rarefactions and shocks for both the classical model and the proposed constitutive approach for the partial pressure support the latter.


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