, Volume 39, Issue 10, pp 825834
First online:
Unsteady free convection flow over an infinite vertical porous plate due to the combined effects of thermal and mass diffusion, magnetic field and Hall currents
 H. S. TakharAffiliated withDepartment of Engineering, Manchester Metropolitan University Email author
 , S. RoyAffiliated withDepartment of Mathematics, Indian Institute of Technology Madras
 , G. NathAffiliated withDepartment of Mathematics, Indian Institute of Science
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The unsteady free convection flow over an infinite vertical porous plate, which moves with timedependent velocity in an ambient fluid, has been studied. The effects of the magnetic field and Hall current are included in the analysis. The buoyancy forces arise due to both the thermal and mass diffusion. The partial differential equations governing the flow have been solved numerically using both the implicit finite difference scheme and the differencedifferential method. For the steady case, analytical solutions have also been obtained. The effect of time variation on the skin friction, heat transfer and mass transfer is very significant. Suction increases the skin friction coefficient in the primary flow, and also the Nusselt and Sherwood numbers, but the skin friction coefficient in the secondary flow is reduced. The effect of injection is opposite to that of suction. The buoyancy force, injection and the Hall parameter induce an overshoot in the velocity profiles in the primary flow which changes the velocity gradient from a negative to a positive value, but the magnetic field and suction reduce this velocity overshoot.
 Title
 Unsteady free convection flow over an infinite vertical porous plate due to the combined effects of thermal and mass diffusion, magnetic field and Hall currents
 Journal

Heat and Mass Transfer
Volume 39, Issue 10 , pp 825834
 Cover Date
 200311
 DOI
 10.1007/s002310030427y
 Print ISSN
 09477411
 Online ISSN
 14321181
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 H. S. Takhar ^{(1)}
 S. Roy ^{(2)}
 G. Nath ^{(3)}
 Author Affiliations

 1. Department of Engineering, Manchester Metropolitan University, Manchester, M1 5GD, UK
 2. Department of Mathematics, Indian Institute of Technology Madras, Chenai – 600036, India
 3. Department of Mathematics, Indian Institute of Science, Bangalore – 560 0112, India