Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature

This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic (MHD) flow of a Newtonian fluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over an inclined plate with ramped temperature. The influence of thermal...

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Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-15
Main Authors: Khan, Arshad, Khan, Ilyas, Ali, Farhad, Shafie, Sharidan
Format: Article
Language:English
Subjects:
Chemical reactions
Conjugates
Coupled walls
Exact solutions
Fluid flow
Heat transfer
Laplace transforms
Lie groups
Magnetohydrodynamic flow
Magnetohydrodynamics
Mass transfer
Mathematical analysis
MHD
Newtonian fluids
Partial differential equations
Porous media
Shear flow
Shear stress
Studies
Thermal radiation
Wall shear stresses
Wall temperature
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Summary:This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic (MHD) flow of a Newtonian fluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over an inclined plate with ramped temperature. The influence of thermal radiation in the energy equations is also considered. The coupled partial differential equations governing the flow are solved by using the Laplace transform technique. Exact solutions for velocity and temperature in case of both ramped and constant wall temperature as well as for concentration fields are obtained. It is found that velocity solutions are more general and can produce a huge number of exact solutions correlative to various fluid motions. Graphical results are provided for various embedded flow parameters and discussed in detail.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/861708