Magnetohydrodynamic Natural Convection in a Quadrantal Enclosure

Abstract

The present paper investigates the magnetohydrodynamic natural convection thermal transport and entropy generation characteristics inside a quadrantal enclosure filled with an electrically conducting fluid, silicon. Both uniform temperature heating and nonuniform temperature heating at the bottom wall are considered along with adjacent left cold wall and insulated curved wall. The results are enumerated for a broad range of Hartmann number () and Rayleigh number (), in terms of streamlines and isotherms, local and average Nusselt number, and local entropy generation. The results reveal that considering lesser , the heat transfer rate remains invariable even with the change in . Considering a larger , the effect of the magnetic field is sufficiently distinguishable, signifying that the abatement in the rate of heat transfer on considering the intensification in magnetic field strength is definitely compelling. The results also reveal that the entropy generation due to heat transfer intensifies with the increase in for the case with nonuniform heating although it remains practically constant for all values of investigated with uniform heating. Interestingly the heat transport rate is augmented by decreasing the sector angle of enclosure and vice versa for the uniform heating situation but not with the nonuniform heating considering and 20.