New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium | Zendy

Ilyas Khan | Zendy; Muhammad Imran | Zendy; K. Fakhar | Zendy

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New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium

Author(s) -

Ilyas Khan,

Muhammad Imran,

K. Fakhar

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/408132

Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , porous medium , mechanics , newtonian fluid , laplace transform , shear stress , physics , non newtonian fluid , porosity , exact solutions in general relativity , space (punctuation) , classical mechanics , mathematical analysis , materials science , mathematics , magnetic field , computer science , quantum mechanics , composite material , operating system

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields

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