Отправлено: 10.09.08 03:37. Заголовок: Theoretical Analysis of the Influence of a Diffuse Double-Layer On Darcy’s Law

Theoretical Analysis of the Influence of a Diffuse Double-Layer On Darcy’s Law
Solid Mechanics and Its Applications
ISSN 0925-0042
Volume 125
IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media
Springer Netherlands
DOI 10.1007/1-4020-3865-8
ISBN 978-1-4020-3864-8 (Print) 978-1-4020-3865-5 (Online)
DOI 10.1007/1-4020-3865-8_33
pp. 289-298

Solid Mechanics and Its Applications
IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media
10.1007/1-4020-3865-8_33
G. M. L. Gladwell, J.M. Huyghe, Peter A.C. Raats and Stephen C. Cowin

33. Theoretical Analysis of the Influence of a Diffuse Double-Layer On Darcy’s Law
David Smith5 and Peter Pivonka5

(5) School of Engineering, The University of Newcastle, Australia

Abstract
It is known that when the concentration of background electrolyte in a charged porous medium increases, the permeability of the porous medium also increases. In this paper, a set of coupled governing equations is derived that describe Navier-Stokes flow of a pore fluid through a charged porous medium (i.e. flow in the presence of a diffuse double-layer). The set of coupled partial differential equations describe the transport of the individual ions along their electrochemical potential gradient, the transport of the pore fluid together with the ions in solution, and the voltage distribution through the porous medium, while simultaneously maintaining electro-neutrality of the system. The governing equations are solved for an example problem. By using this approach, new insight is gained into the origin of permeability changes arising from changes in the background electrolyte concentration.
Keywords Navier-Stokes equation - diffuse double-layer - Darcy’s law


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David Smith
Email: David.Smith@newcastle.edu.au


Peter Pivonka
Email: Peter.Pivonka@newcastle.edu.au



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[5]. Slattery, J. (1999) Advanced transport phenomena. Cambridge University Press, Cambridge, USA