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Magnetothermodynamic Peristaltic Flow of Bingham Non-Newtonian Fluid in Eccentric Annuli with Slip Velocity and Temperature Jump Conditions

Published online by Cambridge University Press:  01 May 2013

M. F. El-Sayed ,
N. T. M. Eldabe ,
A. Y. Ghaly  and
H. M. Sayed
M. F. El-Sayed*
Affiliation:
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
N. T. M. Eldabe
Affiliation:
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
A. Y. Ghaly
Affiliation:
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
H. M. Sayed
Affiliation:
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
*
*Corresponding author ([email protected])
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Abstract

In this paper, we studied the peristaltic flow and heat transfer of an incompressible, electrically conducting Bingham Non-Newtonian fluid in an eccentric uniform annulus in the presence of external uniform magnetic field with slip velocity and temperature jump at the wall conditions. The viscous and Joule dissipations are taken into account. The inner tube is rigid and moving with a constant axial velocity, while the outer tube has a sinusoidal wave traveling down its wall. Under zero Reynolds number condition with the long wavelength approximation, the axial velocity and the stream function are obtained analytically. A numerical solution for the governing partial differential equation of energy is performed in order to analyze the temperature distribution. The effects of all parameters of the problem are numerically discussed and graphically explained.

Keywords

Peristaltic flowNon-Newtonian fluidsHeat transferEccentric annuliMagnetohdrodynamics
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 493 - 506
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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