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Peristaltic transport and heat transfer of a MHD Newtonian fluid with variable viscosity
Author(s) -
Nadeem S.,
Akbar Noreen Sher,
Hameed M.
Publication year - 2010
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.2134
Subject(s) - hartmann number , mechanics , pressure gradient , compressibility , viscosity , newtonian fluid , heat transfer , magnetohydrodynamics , deborah number , thermodynamics , physics , carreau fluid , perturbation (astronomy) , classical mechanics , flow (mathematics) , magnetic field , reynolds number , nusselt number , turbulence , quantum mechanics
Abstract The influence of temperature‐dependent viscosity and magnetic field on the peristaltic flow of an incompressible, viscous Newtonian fluid is investigated. The governing equations are derived under the assumptions of long wavelength approximation. A regular perturbation expansion method is used to obtain the analytical solutions for the velocity and temperature fields. The expressions for the pressure rise, friction force and the relation between the flow rate and pressure gradient are obtain. In addition to analytical solutions, numerical results are also computed and compared with the analytical results with good agreement. The results are plotted for different values of variable viscosity parameter β , Hartmann number M , and amplitude ratio ϕ . It is found that the pressure rise decreases as the viscosity parameter β increases and it increases as the Hartmann number M increases. Finally, the maximum pressure rise ( σ =0) increases as M increases and β decreases. Copyright © 2009 John Wiley & Sons, Ltd.