Flow of a newtonian fluid between parallel flat permeable plates—the application to a flat-plate hemodialyzer

The problem of the creeping flow of a Newtonian fluid between parallel flat permeable plates is considered. It is assumed that the transboundary seepage takes place in accordance with a relationship proposed by Darcy for flow through a permeable medium and that both plates are associated with filtra...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical biosciences 1975, Vol.27 (1), p.119-139
Main Authors: Marshall, E.A., Trowbridge, E.A., Aplin, A.J.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problem of the creeping flow of a Newtonian fluid between parallel flat permeable plates is considered. It is assumed that the transboundary seepage takes place in accordance with a relationship proposed by Darcy for flow through a permeable medium and that both plates are associated with filtration coefficients of equal magnitude. Exact closed-form solutions for the pressure and velocity fields are presented, and equations describing the axial variation of the mean cross-sectional pressure, the axial volumetric flow and the transmural flux are derived. Approximate solutions valid for small seepage rates are given. The solutions are applied in a discussion of the rate of ultrafiltration in flat-plate hemodialyzers.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(75)90029-2