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Variable Viscosity Effect on MHD Peristaltic Flow of Pseudoplastic Fluid in a Tapered Asymmetric Channel

Published online by Cambridge University Press:  22 November 2016

T. Hayat
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah, Saudi Arabia
R. Iqbal
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan
A. Tanveer*
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah, Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

Influence of variable viscosity the peristaltic flow of pseudoplastic fluid in a tapered channel is discussed. The effects of magnetohydrodynamics (MHD) are also studied. Asymmetric channel is considered. The relevant problem is first formulated and then non-dimensionalized. The nonlinear different system subject to lubrication approach is solved. Expressions for pressure gradient, pressure rise and velocity are constructed. Graphs reflecting the variations of sundry parameters on pressure rise and velocity are examined. Trapping and pumping phenomena are also studied.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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