TITLE:
A Study of Flow through a Channel Bounded by a Brinkman Transition Porous Layer
AUTHORS:
M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan
KEYWORDS:
Transition Layer, Generalized Airy’s Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.1,
January
29,
2018
ABSTRACT: Flow through a channel bounded by a porous layer is
considered when a transition layer exists between the channel and the medium.
The variable permeability in the transition layer is chosen such that
Brinkman’s equation governing the flow reduces to a generalized inhomogeneous
Airy’s differential equation. Solution to the resulting generalized Airy’s
equation is obtained in this work and solution to the flow through the
transition layer, of the same configuration, reported in the literature, is
recovered from the current solution.