Document Type

Article

Date

1-1-1989

Embargo Period

9-1-2012

Keywords

Stokes Law, laplace equation, uses, singularity, transport theory, porous materials, velocity, pressure, quantity ratio, spheres, interfaces, suspensions

Disciplines

Chemical Engineering

Description/Abstract

The planar singular solutions of Stokes and Laplace equations are derived and applied to a number of transport problems associated with porous surfaces. The velocity, pressure, concentration, and temperature slip coefficients are determined exactly for the semi-infinite periodic arrays of spheres and these are compared with the predictions of two approximate continuum theories formulated by Brinkman [Appl. Sci. Res. Sect. A I, 27 (1947)] and Chang and Acrivos [J. Appl. Phys. 59, 375 (1986)] to assess the utility of such theories in accurately predicting various overall properties related to the porous surfaces. It is found that in general these theories provide fairly accurate estimates of these properties even when the length scales based on the relevant macroscopic properties such as the permeability are much smaller than the length scales characterizing the microstructure of the porous media.

Additional Information

Copyright 1989 Physics of Fluids A: Fluid Dynamics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and Physics of Fluids A: Fluid Dynamics. The article may be found at http://dx.doi.org/10.1063/1.857544

 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.