On internal coupling in dynamic equations of fluid-saturated porous solid
type: Item
instance of: scholarly article
title: On internal coupling in dynamic equations of fluid-saturated porous solid
zbMATH Open document ID: 0583.73091
DOI: 10.1016/0020-7225(86)90030-3
author: B. George
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: Dynamic equations of a porous solid-fluid mixture have been studied accounting for the influence of the pore structure. It is shown that when a skeleton pore structure is characterized by two parameters volume porosity and the structural permeability tensor, the mixture can be considered as composed either of two physical components - the porous solid and the fluid, or two kinematic components - the first being the skeleton and the fluid trapped within, the second being the unimpeded fluid. During a deformation process, mass exchange between the kinematic components may appear, thus provoking the inertial coupling between them. The kinematic division of the solid-fluid mixture, contrary to the physical division, enables one to formulate the appropriate motion equations which include this inertial coupling.
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3934556
zbMATH Keywords: influence of pore structure on continuity and motion equations formulation
zbMATH Keywords: Dynamic equations
zbMATH Keywords: porous solid-fluid mixture
zbMATH Keywords: skeleton pore structure
zbMATH Keywords: volume porosity
zbMATH Keywords: structural permeability tensor
zbMATH Keywords: mass exchange
zbMATH Keywords: inertial coupling
zbMATH Keywords: appropriate motion equations
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90030-3
OpenAlex ID: W2093405536
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description: scientific article; zbMATH DE number 3934556