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On Exact Solutions for Oscillatory Flows in a Generalized Burgers Fluid with Slip Condition

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On Exact Solutions for Oscillatory Flows in a Generalized Burgers Fluid with Slip Condition

Tasawar Hayata,b, Saher Najamc, Muhammad Sajidb, Muhammad Ayuba, and Said Mesloubb

aDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

bDepartment of Mathematics, College of Sciences, KS University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

cTheoretical Plasma Physics Division, PINSTECH, P. O. Nilore, Islamabad 4400, Pakistan Reprint requests to T. H.; Fax: +92 51 2601171; E-mail: pensy t@yahoo.com

Z. Naturforsch.65a,381 – 391 (2010); received Dezember 29, 2008 / revised June 18, 2009 An analysis is performed for the slip effects on the exact solutions of flows in a generalized Burgers fluid. The flow modelling is based upon the magnetohydrodynamic (MHD) nature of the fluid and modified Darcy law in a porous space. Two illustrative examples of oscillatory flows are considered. The results obtained are compared with several limiting cases. It has been shown here that the derived results hold for all values of frequencies including the resonant frequency.

Key words:Slip Effects; Exact Solutions; Modified Darcy Law.

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