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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 -------------------------------------------------------------------------------- David Smith Email: David.Smith@newcastle.edu.au Peter Pivonka Email: Peter.Pivonka@newcastle.edu.au References [1]. Cussler, E. (1997) Diffusion mass transfer in fluid systems. Cambridge University Press, New York, USA, 2nd edition [2]. Derjaguin, B. (1989) Theory of stability of colloids and thin films. Consultants Bureau, New York, USA [3]. Eringen, A. and Maugin, G. (1990) Electrohydrodynamics of continua II: fluids and complex media. Springer-Verlag, New York, USA [4]. Hueckel, T. (2002) Coupled constitutive models in environmental geomechanics. In Vulliet, Z., Laloui, F., and Schrefler, P., editors, Workshop on GeoEnvironmental Engineering, pages 27–44, Ascona, Switzerland. Environmental Geomechanics Publications EPFL Press [5]. Slattery, J. (1999) Advanced transport phenomena. Cambridge University Press, Cambridge, USA
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