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Oscillatory Couette flow of rotating Sisko fluid

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  • 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

Received date: 2013-03-04

  Revised date: 2013-10-02

  Online published: 2014-10-01

Abstract

The oscillatory Couette flow of a magnetohydrodynamic (MHD) Sisko fluid between two infinite non-conducting parallel plates is explored in a rotating frame. The lower plate is fixed, and the upper plate is oscillating in its own plane. Using MATLAB, a numerical solution to the resulting nonlinear system is presented. The influence of the physical parameters on the velocity components is analyzed. It is found that the effect of rotation on the primary velocity is more significant than that on the secondary velocity. Further, the oscillatory character in the flow is also induced by rotation. The considered flow situation behaves inertialess when the Reynolds number is small.

Cite this article

T. HAYAT;S. ABELMAN;M. HAMESE . Oscillatory Couette flow of rotating Sisko fluid[J]. Applied Mathematics and Mechanics, 2014 , 35(10) : 1301 -1310 . DOI: 10.1007/s10483-014-1865-9

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