Takhar, HS and Nath, G (2000) Selfsimilar solution of the unsteady flow in the stagnation point region of a rotating sphere with a magnetic field. In: Heat and Mass Transfer, 36 (2). pp. 8996.

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Abstract
The unsteady flow and heat transfer of a viscous incompressible electrically conducting fluid in the forward stagnation point region of a rotating sphere in the presence of a magnetic field are investigated in this study. The unsteadiness in the flow field is caused by the velocity at the edge of the boundary layer and the angular velocity of the rotating sphere, both varying continuously with time. The system of ordinary differential equations governing the flow is solved numerically. For some particular cases, an analytical solution is also obtained. It is found that the surface shear stresses in x and ydirections and the surface heat transfer increase with the acceleration, the magnetic and the rotation parameters whether the magnetic field is fixed relative to the fluid or body, except that the surface shear stress in xdirection and the surface heat transfer decrease with increasing the magnetic parameter when the magnetic field is fixed relative to the body. For a certain value of the acceleration parameter, the surface shear stress in the xdirection vanishes while the surface shear stress in the ydirection and the surface heat transfer remain finite. Also, below a certain value of the acceleration parameter, reverse flow occurs in the xcomponent of the velocity profile.
Item Type:  Journal Article 

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Additional Information:  Copyright of this article belongs to Springer Verlag. 
Department/Centre:  Division of Physical & Mathematical Sciences > Mathematics 
Date Deposited:  09 Sep 2004 
Last Modified:  19 Sep 2010 04:15 
URI:  http://eprints.iisc.ernet.in/id/eprint/1787 
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