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Closed-form solutions for MHD flow of a second-grade fluid through porous space

Khan, M. and Iqbal, Kaleem and Azram, Mohammad (2011) Closed-form solutions for MHD flow of a second-grade fluid through porous space. Special Topics & Reviews in Porous Media-An International Journal, 2 (2). pp. 125-132. ISSN 2151-562X

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Abstract

In this paper, closed-form solutions corresponding to the motion of a second-grade fluid through porous space have been established by means of the Laplace transform. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field and occupies the porous space over an infinite flat plate. Three haracteristic examples are considered: (i) flow due to impulsive motion of the plate, (ii) flow due to the impulsive accelerating plate, and (iii) flow due to the nonuniformly accelerated plate. The analytical results are confirmed numerically by drawing several graphs. The influence of pertinent parameters on flow is delineated. It is noted that the effects of the viscoelastic parameter of the fluid on the flow are much stronger for small values of the viscoelastic parameter as compared with large values of the viscoelastic parameter of the fluid.

Item Type: Article (Journal)
Additional Information: 3127/2414
Uncontrolled Keywords: closed-form solutions, second-grade fluid, porous space, Laplace transform
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Science
Depositing User: Prof Mohammad Azram
Date Deposited: 11 Sep 2011 09:27
Last Modified: 27 Feb 2012 16:14
URI: http://irep.iium.edu.my/id/eprint/2414

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