Numerical Study of Magneto-Convection in a Tilted Cavity with Partially Active Walls

The effect of an imposed magnetic field on natural convection in a tilted cavity with partially active walls is investigated numerically. The active part of the bottom wall is at a higher temperature than the active part of the top wall and are moving on horizontal walls relative to each other. The left, right and the remaining parts of the top and bottom walls are insulated. The magnetic field is parallel to active walls. The governing equations are discretized using the hybrid scheme. The resulting algebraic equations are coupled and simultaneously solved using TDMA algorithm. The SIMPLER algorithm is used to indicate the pressure gradient in the momentum equations. Flow field and heat transfer are predicted for Pr=0.71 and a wide range of the governing parameters such as: Rayleigh number between 104 and 106, Hartman number between 0 and 100, and inclination angle between 0 and 90 degrees. The average Nusselt number decreases with an increase of Hartman number and increases with an increase of Rayleigh number. The maximum heat transfer rate is occurred for the middle– middle thermally active locations while heat transfer is poor for the left-right and right-left thermally active locations.