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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i7.60
pages 649-661

MHD OSCILLATING FLOW OF GENERALIZED JEFFREY FLUID PASSING THROUGH A RECTANGULAR DUCT FILLED WITH POROUS MEDIUM

Amir Khan
Department of Mathematics, University of Malakand, Chakdara, Dir(Lower), Khyber Pakhtunkhwa, Pakistan; Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan
Gul Zaman
Department of Mathematics, University of Malakand, Chakdara, Dir(Lower), Khyber Pakhtunkhwa, Pakistan
Il Hyo Jung
Department of Mathematics, Pusan National University, Busan 609-735, South Korea

SINOPSIS

This article presents some new exact solutions corresponding to unsteady magnetohydrodynamic flow of generalized Jeffrey fluid in a rectangular duct, filled with a porous medium oscillating parallel to its length. The exact solutions are established by means of the double finite Fourier sine transform and discrete Laplace transform. The series solution of velocity field, associated shear stress, and volume flow rate in terms of Fox H-function, satisfying all imposed initial and boundary conditions, have been obtained. Also, the obtained results are analyzed graphically through various pertinent parameters.


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