Flow of Maxwell fluids in porous media |
| |
Authors: | M. López De Haro J. A. P. Del Río S. Whitaker |
| |
Affiliation: | (1) Laboratorio de Energía Solar, Instituto de Investigaciones en Materiales, UNAM, 62580 Temixco, Morelos, México;(2) Department of Chemical Engineering and Material Science, University of California, Davis, California, USA |
| |
Abstract: | In this paper we analyze the flow of a Maxwell fluid in a rigid porous medium using the method of volume averaging. We first present the local volume averaged momentum equation which contains Darcy-scale elastic effects and undetermined integrals of the spatial deviations of the pressure and velocity. A closure problem is developed in order to determine the spatial deviations and thus obtain a closed form of the momentum equation that contains a time-dependent permeability tensor. To gain some insight into the effects of elasticity on the dynamics of flow in porous media, the entire problem is transformed to the frequency domain through a temporal Fourier transform. This leads to a dynamic generalization of Darcy's law. Analytical results are provided for the case in which the porous medium is modeled as a bundle of capillary tubes, and a scheme is presented to solve the transformed closure problem for a general microstructure. |
| |
Keywords: | elastic fluid volume averaging closure Darcy's law dynamic permeability |
本文献已被 SpringerLink 等数据库收录! |
|