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MHD Peristaltic Flow in a Curved Channel with Convective Condition

Published online by Cambridge University Press:  19 September 2016

T. Hayat ,
S. Farooq  and
A. Alsaedi
T. Hayat
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah, Saudi Arabia
S. Farooq*
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

This attempt addresses the peristaltic transport of Jeffrey fluid in a curved channel. Heat transfer is discussed employing convective condition at the channel walls. Effects of radial applied magnetic field and Joule heating are retained. Convective boundary conditions at both walls with different temperature are also accounted. The relevant equations are modeled in view of lubrication approach. Closed form expression for stream function is constructed. Numerical solution of stream function, velocity and temperature is obtained via shooting method in Mathematica with the help of NDSolve command. It is observed that curvature has opposite effects on the lower and upper walls of channel. However temperature is an increasing function of curvature parameter. Temperature also decreases in presence of heat transfer convective parameter naturally the Biot number.

Keywords

Jeffrey fluidJoule heatingConvective conditionRadial applied magnetic field
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. 483 - 499
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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