Author(s)

M. S. Abu Zaytoon¹, T. L. Alderson¹, M. H. Hamdan²

¹Engineering Division, Higher Colleges of Technology, Abu Dhabi Women’s Campus, Abu Dhabi, United Arab Emirates.
²Department of Mathematical Sciences, University of New Brunswick, Saint John, Canada.

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.

Transition Layer, Generalized Airy’s Equation

Zaytoon, M. , Alderson, T. and Hamdan, M. (2018) A Study of Flow through a Channel Bounded by a Brinkman Transition Porous Layer. Journal of Applied Mathematics and Physics, 6, 264-282. doi: 10.4236/jamp.2018.61025.