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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i10.20
pages 901-908

EXACT SOLUTION FOR RAYLEIGH−STOKES PROBLEMS OF AN OLDROYD-B FLUID IN A POROUS MEDIUM AND ROTATING FRAME

Faisal Salah
Department of Mathematics, Faculty of Science, University of Kordofan, Elobied, 51111, Sudan
Zainal Abdul Aziz
Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Norsarahaida Saidina Amin
Department of Mathematics, Faculty of Science, University Technology Malaysia, 81300 Skudai, Johor, Malaysia
Dennis Ling Chuan Ching
Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

ABSTRACT

The aim of this paper is to determine the exact solution of unsteady magnetohydrodynamic (MHD) flow of a rotating Oldroyd-B fluid in a porous medium over a suddenly moved flat plate. This is achieved by using the Fourier sine and Laplace transforms method. The use of this method provides a means to get a new additional term appearing in the final solution. Many interesting existing results in the literature are obtained as the special and limiting cases of our solution. Finally, some graphical results of the velocity profiles are presented for different values of the material constants. It is shown that the porosity of the medium, the rotation, and the magnetisation of the fluid have an effect on the velocity fields.


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