Abstract
In this paper, the effect of a magnetic field and its angle on steady and laminar natural convection in a tilted square cavity with constant temperature side walls filled with liquid gallium (Pr=0.02) is investigated numerically. Governing equations are discretized using the control volume method. The results are presented in the form of streamlines, isotherms, heat lines and plots of Nusselt number. The results have shown that with increasing the Hartmann number, velocity inside the cavity reduces. Thus maximum absolute value of stream function and the heat transfer coefficient decreases and free convection has been weakened. By applying a proper magnetic field (high enough), convection flow suppresses and conduction heat transfer mechanism become dominant in the cavity. The weaken convection at high magnetic field can be disappeared by increasing the inclination angle from 0 to 90 degrees CCW. Also it is observed that the minimum heat transfer rate is occurred by applying the magnetic field perpendicular to gravity.
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