Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface
American Journal of Applied Mathematics
Volume 3, Issue 1-1, January 2015, Pages: 8-19
Received: Nov. 11, 2014;
Accepted: Nov. 12, 2014;
Published: Nov. 29, 2014
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Litan Kumar Saha, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Monotos Chandra Somadder, Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
Nepal Chandra Roy, Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equations have been solved by using Galerkin weighted residual method of finite element formulation. To uncover the flow patterns and heat transfer mechanisms within the cavity, the results are presented in terms of streamlines and isotherms for different Reynolds number, Grashof number, Hartmann number and number of undulations offered by the wavy bottom surface. Also the effects of these parameters are shown on the Local Nusselt number. It is observed that the wavy lid-driven cavity can be considered as an effective heat transfer mechanism in presence of magnetic field at larger wavy surface amplitudes and low Richardson numbers.
Litan Kumar Saha,
Monotos Chandra Somadder,
Nepal Chandra Roy,
Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface, American Journal of Applied Mathematics. Special Issue: Fluid Flow and Heat Transfer Inside a Closed Domain.
Vol. 3, No. 1-1,
2015, pp. 8-19.
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