Numerical Study of Fluid Flow on Magneto-Hydrodynamic Mixed Convection in a Lid Driven Cavity having a Heated Circular Hollow Cylinder

Magneto-hydrodynamic mixed convection in a lid driven cavity along with a heated circular hollow cylinder positioned at the centre of the cavity is studied numerically. The left and right vertical walls are kept at a constant temperature Tc while the top and bottom horizontal walls of the cavity are insulated. The left vertical wall is moving in its own plane of a constant speed while all other walls are fixed. A uniform magnetic field is applied to the horizontal direction normal to the moving wall. A Galerkin weighted residual finite element method with a Newton Raphson iterative algorithm is adopted to solve the governing equations. The computations are carried out for wide ranges of the Hartmann number (Ha) and Richardson number (Ri). The results are presented in the form of streamlines, isothermal lines and average Nusselt number for the aforementioned parameters. The results show that the aforesaid parameters have noticeable effect on the flow pattern and heat transfer characteristics inside the cavity.