MHD Effect on Free Convection Heat Transfer in a C-shaped Cavity
M. Jahirul Haque Munshi, Nusrat Jahan, K.F.U. Ahmed
Email: jahir.buet.bd@gmail.com
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Abstract
MHD effect on free convection heat transfer in a C-shaped cavity has been numerically simulated in this paper. The working fluid is assigned as air with a Prandtl number of 0.71 throughout the simulation. The magnetic field of strength Bo is applied arallel to x-axis. The top, left and bottom walls of the enclosure are maintained at constant heated temperatureTh. The right internal walls of the cavity with length H are maintained at cold temperature Tc. The external right walls are adiabatic. The governing differential equations (mass, momentum and energy equation) are solved by finite element method (Galerkin weighted residual method). The present results are validated by favorable comparisons with previously published results. The results of the problem are presented in graphical and tabular forms and discussed. The relevant parameters in the present study are Rayleigh numbers, Hartmann numbers and Prandtl number. Results are presented in the form of streamlines, isotherms, Local Nusselt number, velocity, temperature and average temperature for different parameters. The numerical results indicate the strong influence of the mentioned parameters on the flow structure and heat transfer as well as temperature. An optimum combination of the governing parameters would result in higher heat transfer. Moreover, it is observed that both the Rayleigh numbers and the Hartmann numbers significantly impact on the flow and thermal fields in enclosure.