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Peristaltic Flow of a Non-Newtonian Fluid in an Asymmetric Channel with Convective Boundary Conditions

Published online by Cambridge University Press:  09 May 2013

T. Hayat ,
Humaira Yasmin ,
Mohammed S. Alhuthali  and
Marwan A. Kutbi
T. Hayat*
Affiliation:
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Humaira Yasmin
Affiliation:
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Mohammed S. Alhuthali
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Marwan A. Kutbi
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
*
*pensy_t@yahoo.com
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Abstract

This article addresses peristaltic flow of third order fluid in an asymmetric channel. Channel walls are subjected to the convective boundary conditions. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Long wavelength approximation and perturbation method give the series solutions for the stream function, temperature and longitudinal pressure gradient. Analysis has been further carried out for pressure rise per wavelength through numerical integration. Several graphs of physical interest are displayed and discussed.

Keywords

Third order fluidAsymmetric channelConvective conditionsPumping and trapping
Type
Research Article
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. 599 - 607
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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