Rudraiah, N. ; Venkatachalappa, M. ; Subbaraya, C. K. (1995) Combined surface tension and buoyancy-driven convection in a rectangular open cavity in the presence of a magnetic field International Journal of Non-Linear Mechanics, 30 (5). pp. 759-770. ISSN 0020-7462
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002074...
Related URL: http://dx.doi.org/10.1016/0020-7462(95)00026-K
Abstract
A numerical study is conducted to understand the effect of magnetic field on the flow driven by the combined mechanism of buoyancy and thermocapillarity in a rectangular open cavity filled with a low Prandtl number fluid (Pr = 0.054). The two side walls are maintained at uniform but different temperatures θh and θc (θh > θc), while the horizontal top and bottom walls are adiabatic. A finite difference scheme consisting of the ADI (Alternating Direction Implicit) method, which incorporates upwind differencing for non-linear convective terms and the SLOR (Successive Line Over Relaxation) method are used to solve the coupled non-linear governing equations. Computations are carried out for a wide range of Grashof number Gr ranging from 2 × 104 to 2 × 106, Marangoni number Ma from 0 to 105 and Hartmann number Ha from 0 to 100. The detailed flow structure and the associated heat transfer characteristics inside the cavity are presented. At large Ma, two counter-rotating cells are formed at the upper half and lower half of the enclosure. As Ha increases, the temperature field resembles that of a conduction type and the streamlines are elongated in nature in the horizontal direction. The upper cell is crowded and stretched along the free surface. The average Nusselt number increases with Ma but decreases with Ha.
Item Type: | Article |
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ID Code: | 47445 |
Deposited On: | 11 Jul 2011 14:01 |
Last Modified: | 11 Jul 2011 14:01 |
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