Mathematical modeling of the rheology of swelling systems

Consideration is given to a mathematical model of the rheology of swelling systems, the basis for which is provided by generalization of the filtration-consolidation theory to the case where the mass of the solid phase of a porous skeleton changes due to the flow of a fluid during the swelling and s...

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Published in:Journal of engineering physics and thermophysics 2005-11, Vol.78 (6), p.1142-1148
Main Authors: Pleshchinskii, N. B., Khramchenkov, M. G., Khramchenkov, É. M.
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Language:English
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Mathematical models
Rheology
Studies
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description Consideration is given to a mathematical model of the rheology of swelling systems, the basis for which is provided by generalization of the filtration-consolidation theory to the case where the mass of the solid phase of a porous skeleton changes due to the flow of a fluid during the swelling and shrinkage processes under the action of osmotic pressure. The problem on swelling and shrinkage of a clay layer has been formulated and solved. The features of the model, which are important for explanation of certain characteristic features of the processes in swelling systems, have been investigated based on an analysis of the solution. It has been shown that the solutions obtained are in good agreement with experimental results.[PUBLICATION ABSTRACT]
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subjects Mathematical models
Rheology
Studies
title Mathematical modeling of the rheology of swelling systems
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