New exact solution for Rayleigh–Stokes problem of Maxwell fluid in a porous medium and rotating frame | Zendy

Faisal Salah | Zendy; Zainal Abdul Aziz | Zendy; Dennis Ling Chuan Ching | Zendy

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New exact solution for Rayleigh–Stokes problem of Maxwell fluid in a porous medium and rotating frame

Author(s) -

Faisal Salah,

Zainal Abdul Aziz,

Dennis Ling Chuan Ching

Publication year - 2011

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2011.04.001

Subject(s) - porous medium , stokes problem , frame (networking) , classical mechanics , exact solutions in general relativity , physics , mechanics , maxwell's equations , rayleigh scattering , mathematical analysis , porosity , mathematics , materials science , optics , thermodynamics , computer science , finite element method , composite material , telecommunications

The aim of this paper is to determine the new exact solution of a magnetohydrodynamic (MHD) and rotating flow of the Maxwell fluid induced by a suddenly moved plate in its own plane. This is accomplished by using the Fourier sine and Laplace transforms. Based on the modified Darcy’s law, the expression for the velocity field is obtained. It is found that similar solutions for Newtonian fluid appear as limiting cases of our solutions. Finally some graphical results of the velocity profiles are presented for different values of the material constants

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