TITLE:
Flow through a Variable Permeability Brinkman Porous Core
AUTHORS:
M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan
KEYWORDS:
Airy’s Functions, Variable Permeability Porous Layers
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.4,
April
28,
2016
ABSTRACT: In this work, we consider the flow through composite porous layers of variable permeability, with the middle layer representing a porous core bounded by two Darcy layers. Brinkman’s equation is valid in the middle layer and has been reduced to an Airy’s inhomogeneous differential equation. Solution is obtained in terms of Airy’s functions and the Nield-Kuznetsov function.