Author(s)

M. Jahirul Haque Munshi^1*, Golam Mostafa¹, A. B. S. Manik Munsi², Md. Waliullah¹

¹Department of Mathematics, Hamdard University Bangladesh, Munshiganj, Bangladesh.
²Department of Mathematics, Jagannath University, Dhaka, Bangladesh.

Hydrodynamic mixed convection in a lid-driven hexagonal cavity with corner heater is numerically simulated in this paper by employing finite element method. The working fluid is assigned as air with a Prandtl num-ber of 0.71 throughout the simulation. The left and right walls of the hex-agonal cavity are kept thermally insulated and the lid moves top to bottom at a constant speed U₀. The top left and right walls of the enclosure are maintained at cold temperature T_c. The bottom right wall is considered with a corner heater whereas the bottom remaining part is adiabatic and inside the cavity a square shape heated block T_h. The focus of the work is to investigate the effect of Hartmann number, Richardson number, Grashof number and Reynolds number on the fluid flow and heat transfer characteristics inside the enclosure. A set of graphical results is presented in terms of streamlines, isotherms, local Nusselt number, velocity profiles, temperature profiles and average Nusselt numbers. The results reveal that heat transfer rate increases with increasing Richardson number and Hartmann number. It is also observed that, Hartmann number is a good control parameter for heat transfer in fluid flow in hexagonal cavity.

Mixed Convection, Lid-Driven Hexagonal Cavity, Finite Element Method, Square Block, Corner Heater

Munshi, M. , Mostafa, G. , Munsi, A. and Waliullah, M. (2018) Hydrodynamic Mixed Convection in a Lid-Driven Hexagonal Cavity with Corner Heater. American Journal of Computational Mathematics, 8, 245-258. doi: 10.4236/ajcm.2018.83020.