2011•Journal of Porous MediaRequires access

SLIP EFFECTS ON THE OSCILLATORY FLOW IN A POROUS MEDIUM

Tasawar Hayat, Muhammad F. Afzaal, Constantin Fetecau, Awatif A. Hendi

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Abstract

Exact solutions of the Stokes' second problem in the presence of a slip condition are established. Two types of boundary conditions are considered. An incompressible magnetohydrodynamic fluid occupies the porous space. Both steady and transient solutions in each case of boundary oscillations are derived by Laplace transform treatment. Graphs are sketched for the pertinent parameters and discussed.

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Exact solutions of the Stokes' second problem in the presence of a slip condition are established. Two types of boundary conditions are considered. An incompressible magnetohydrodynamic fluid occupies the porous space. Both steady and transient solutions in each case of boundary oscillations are derived by Laplace transform treatment. Graphs are sketched for the pertinent parameters and discussed.

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Available abstract

Exact solutions of the Stokes' second problem in the presence of a slip condition are established. Two types of boundary conditions are considered. An incompressible magnetohydrodynamic fluid occupies the porous space. Both steady and transient solutions in each case of boundary oscillations are derived by Laplace transform treatment. Graphs are sketched for the pertinent parameters and discussed.

Key concepts: Magnetohydrodynamic drive, Porous medium, Laplace transform, Slip (aerodynamics), Mechanics, Compressibility, Boundary value problem, Porosity

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