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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.v18.i8.50
pages 801-809

HYDROMAGNETIC FLOW NEAR A NON-UNIFORM ACCELERATING PLATE IN THE PRESENCE OF MAGNETIC FIELD THROUGH 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
Ghaus ur Rahman
Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

SINOPSIS

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid near a non-uniform accelerating plate have been derived. The generalized second-grade fluid saturates the porous space. Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique for the fractional calculus. The obtained solutions are expressed in series form in terms of Fox H-functions. Similar solutions for ordinary second-grade fluid passing through a porous space are also recovered. Moreover, several figures are sketched for the pertinent parameters to analyze the characteristics of velocity field and shear stress.


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