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Flow of Second Grade Fluid between two Walls Induced by Rectified Sine Pulses Shear Stress

Published online by Cambridge University Press:  16 July 2015

Q. Sultan ,
M. Nazar ,
I. Ahmad  and
U. Ali
Q. Sultan
Affiliation:
Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, Pakistan
M. Nazar*
Affiliation:
Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, Pakistan Wenzhou Kean University Wenzhou, China
I. Ahmad
Affiliation:
Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, Pakistan
U. Ali
Affiliation:
Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, Pakistan
*
* Corresponding author ([email protected])
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Abstract

This paper concerns with the unsteady MHD flow of a second grade fluid between two parallel walls through porous media induced by rectified sine pulses shear stress. The analytical expressions for the velocity field and the adequate shear stress are determined by means of the Laplace transform technique and Fourier cosine and sine transforms and are written as a sum of steady state and transient solutions. The influence of side walls on the fluid motion, the distance between walls for which the velocity of the fluid in the middle of the channel is negligible, and the required time to reach the steady state are presented by graphical illustrations. As the second grade fluid parameter → 0 the problem reduces to the Newtonian fluids performing the same motion.

Keywords

Second grade fluidRectified sine pulsesMHD flowPorous medium
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 5 , October 2015 , pp. 573 - 582
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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