Fluid mechanics of the interface region between two porous layers

F. M. Allan, M. H. Hamdan

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

Flow through and over a fluid-saturated porous layer is investigated. The flow through a porous channel (which is assumed to be governed by Forchheimer equation) is terminated by a porous layer possessing a different structure (the flow through which is governed by the Brinkman equation). At the interface between the physical regions, matching conditions on the velocity and shear stress are imposed. The flow through this configuration admits solutions which are linear combinations of polynomial and exponential functions. The effect of the Reynolds number and the Darcy numbers on the interface velocity is presented in this work.

Original languageEnglish
Pages (from-to)37-43
Number of pages7
JournalApplied Mathematics and Computation
Volume128
Issue number1
DOIs
Publication statusPublished - May 10 2002
Externally publishedYes

Keywords

  • Exact solution
  • Interface region
  • Multi-porous layers
  • Porous media

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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