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Steady flow and heat transfer of a magnetohydrodynamic Sisko fluid through porous medium in annular pipe
Author(s) -
Khan M.,
Shaheen N.,
Shahzad A.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2673
Subject(s) - magnetohydrodynamic drive , heat transfer , mechanics , homotopy analysis method , porous medium , fluid dynamics , non newtonian fluid , power law fluid , flow (mathematics) , mathematics , nonlinear system , magnetohydrodynamics , power index , physics , magnetic field , porosity , materials science , quantum mechanics , composite material , mathematical economics
SUMMARY In this paper, the steady flow and heat transfer of a magnetohydrodynamic fluid is studied. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field and occupies the porous space in annular pipe. The governing nonlinear equations are modeled by introducing the modified Darcy's law obeying the Sisko model. The system is solved using the homotopy analysis method (HAM), which yields analytical solutions in the form of a rapidly convergent infinite series. Also, HAM is used to obtain analytical solutions of the problem for noninteger values of the power index. The resulting problem for velocity field is then numerically solved using an iterative method to show the accuracy of the analytic solutions. The obtained solutions for the velocity and temperature fields are graphically sketched and the salient features of these solutions are discussed for various values of the power index parameter. We also present a comparison between Sisko and Newtonian fluids. Copyright © 2011 John Wiley & Sons, Ltd.