Effects on Two Semi-Circular Wall Heaters Attached with a Rectangular Enclosure Containing Trapezoidal Heated Obstacle in Presence of Magnetohydrodynamics

This analytical investigation illustrates the effects of magnetohydrodynamics mixed convection in a rectangular enclosure containing trapezoidal heated obstacle on two semi-circular wall heaters. The upper wall moves with a velocity in the positive -direction and two semi-circular wall heaters are placed at the bottom wall with fixed distance between them. Trapezoidal heated obstacle is located in the middle of the cavity. Two vertical walls are kept at low temperature and concentration and the trapezoidal obstacle and two semi-circular walls are kept at high temperature and concentration. Also, two horizontal walls are kept adiabatic except two semi-circular wall heaters. Finite element method is used to solve governing equations. The present analysis is performed for parameters such as Hartmann number, Buoyancy ratio and Richardson number. The effects of aforesaid parameters are explored on the fluid flow and temperature at two semi-circular wall heaters. The results show that heat transfer rate along right semi-circular wall heater dominates the left semi-circular wall heater with the increase of both the parameters Hartmann number and Buoyancy ratio.