Numerical investigation of MHD mixed convection heat transfer having vertical fin in a lid-driven square cavity

Numerical study of MHD mixed convection heat transfer in a lid-driven square cavity with single vertical fin attached to it’s hot wall has been carried out. Finite element method based Galerkin weighted residual technique is used to solve the governing equation. The effect of Richardson number, Hartmann number on the fluid flow and heat transfer characteristic inside the enclosure is investigated. A set of graphical results are presented in terms of streamlines, isotherms, temperature profiles, velocity profiles and fin effectiveness. The results indicate that the heat transfer rate increases with the increase of Richardson number and that, Hartmann number is a good control parameter for heat transfer in the flow having vertical fin in a lid-driven square cavity. The results are validated comparing with the published works.