Unsteady MHD forced flow due to a point sink
 Dr. A. T. Eswara,
 Dr. S. Roy,
 Prog. G. Nath
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An analysis is performed to study the unsteady laminar incompressible boundarylayer flow of an electrically conducting fluid in a cone due to a point sink with an applied magnetic field. The unsteadiness in the flow is considered for two types of motion, viz. the motion arising due to the free stream velocity varying continuously with time and the transient motion occurring due to an impulsive change either in the strength of the point sink or in the wall temperature. The partial differential equations governing the flow have been solved numerically using an implicit finitedifference scheme in combination with the quasilinearization technique. The magnetic field increases the skin friction but reduces heat transfer. The heat transfer and temperature field are strongly influenced by the viscous dissipation and Prandtl number. The velocity field is more affected at the early stage of the transient motion, caused by an impulsive change in the strength of the point sink, as compared to the temperature field. When the transient motion is caused by a sudden change in the wall temperature, both skin friction and heat transfer take more time to reach a new steady state. The transient nature of the flow and heat transfer is active for a short time in the case of suction and for a long time in the case of injection. The viscous dissipation prolongs the transient behavior of the flow.
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 Title
 Unsteady MHD forced flow due to a point sink
 Journal

Acta Mechanica
Volume 145, Issue 14 , pp 159172
 Cover Date
 20000301
 DOI
 10.1007/BF01453650
 Print ISSN
 00015970
 Online ISSN
 16196937
 Publisher
 SpringerVerlag
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 Authors

 Dr. A. T. Eswara ^{(1)}
 Dr. S. Roy ^{(2)}
 Prog. G. Nath ^{(3)}
 Author Affiliations

 1. Department of Mathematics, Malnad College of Engineering, 573 201, Hasan, India
 2. Department of Mathematics, Indian Institute of Technology, 036, Madras, Chennai, India
 3. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India