Author(s)

M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan^*

Department of Mathematical Sciences, University of New Brunswick, Saint John, Canada.

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.

Airy’s Functions, Variable Permeability Porous Layers

Zaytoon, M. , Alderson, T. and Hamdan, M. (2016) Flow through a Variable Permeability Brinkman Porous Core. Journal of Applied Mathematics and Physics, 4, 766-778. doi: 10.4236/jamp.2016.44087.