Journal of Applied Mathematics and Physics

Volume 4, Issue 1 (January 2016)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Flow over a Darcy Porous Layer of Variable Permeability

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DOI: 10.4236/jamp.2016.41013    3,910 Downloads   5,428 Views  Citations

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.

Share and Cite:

Zaytoon, M. , Alderson, T. and Hamdan, M. (2016) Flow over a Darcy Porous Layer of Variable Permeability. Journal of Applied Mathematics and Physics, 4, 86-99. doi: 10.4236/jamp.2016.41013.

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