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eccentric annuli

Journal of Mechanics (1)

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Magnetothermodynamic Peristaltic Flow of Bingham Non-Newtonian Fluid in Eccentric Annuli with Slip Velocity and Temperature Jump Conditions
M. F. El-Sayed, N. T. M. Eldabe, A. Y. Ghaly, H. M. Sayed
Journal:

Journal of Mechanics / Volume 29 / Issue 3 / September 2013

Published online by Cambridge University Press:

01 May 2013, pp. 493-506

Print publication:

September 2013
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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.