, Volume 146, Issue 1, pp 5971
First online:
Unsteady threedimensional MHDboundarylayer flow due to the impulsive motion of a stretching surface
 H. S. TakharAffiliated withDepartment of Engineering and Technology, Manchester Metropolitan University
 , A. J. ChamkhaAffiliated withDepartment of Mechanical Engineering
 , G. NathAffiliated withDepartment of Mathematics, Indian Institute of Science
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The development of velocity and temperature fields of an incompressible viscous electrically conducting fluid, caused by an impulsive stretching of the surface in two lateral directions and by suddenly increasing the surface temperature from that of the surrounding fluid, is studied. The partial differential equations governing the unsteady laminar boundarylayer flow are solved numerically using an implicit finite difference scheme. For some particular cases, closed form solutions are obtained, and for large values of the independent variable asymptotic solutions are found. The surface shear stresses inxandydirections and the surface heat transfer increase with the magnetic field and the stretching ratio, and there is a smooth transition from the shorttime solution to the longtime solution.
 Title
 Unsteady threedimensional MHDboundarylayer flow due to the impulsive motion of a stretching surface
 Journal

Acta Mechanica
Volume 146, Issue 12 , pp 5971
 Cover Date
 200103
 DOI
 10.1007/BF01178795
 Print ISSN
 00015970
 Online ISSN
 16196937
 Publisher
 SpringerVerlag
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 Authors

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

 1. Department of Engineering and Technology, Manchester Metropolitan University, M15 GD, Manchester, UK
 2. Department of Mechanical Engineering, 13060, Safat, Kuwait University, Kuwait
 3. Department of Mathematics, Indian Institute of Science, 560012, Bangalore, India