TITLE:
Flow over a Darcy Porous Layer of Variable Permeability
AUTHORS:
M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan
KEYWORDS:
Coupled-Parallel Flow, Darcy Equation, Variable Permeability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.1,
January
25,
2016
ABSTRACT: In this work we consider coupled-parallel flow through a finite channel bounded below by a porous layer that is either finite or infinite in depth. The porous layer is one in which Darcy’s equation is valid under the assumption of variable permeability. A suitable permeability stratification function is derived in this work and the resulting variable velocity profile is analyzed. It will be shown that when an infinite porous layer is implemented, Darcy’s equation must be used with a constant permeability.