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MHD Free Convection in a Partially Heated Open-Ended Square Cavity: Effect of Angle of Magnetic Field and Heater Location

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Abstract

A computational analysis based upon the kinetic, mesoscopic numerical tool is adapted for elucidating the buoyancy-driven convection in the square shaped open cavity having the partially active wall under the influence of the uniform magnetic field (B). A heater (size- half of the height of the cavity) is positioned along the vertical, no-slip wall of the cavity (while another vertical end is open to the atmosphere). Other regions of no-slip partially heated vertical wall, as well as top and bottom walls, are thermally insulated. The significance of heater location (bottom, middle and top), the angle of magnetic field (0°, 45° and 90°), Hartmann number (0–100) and Rayleigh number (103–105) on natural convection have been illustrated. The interpretation of results have been carried out by studying the streamlines, isotherms, centreline variation of temperature; velocity component profiles and Nusselt number (local, average). The dependence of the Nusselt number with the magneto-convective parameter is presented and discussed. Heat transfer rate increases with the angle of the magnetic field.

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  1. Department of Chemical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India

    Krunal M. Gangawane

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Correspondence to Krunal M. Gangawane.

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Gangawane, K.M. MHD Free Convection in a Partially Heated Open-Ended Square Cavity: Effect of Angle of Magnetic Field and Heater Location. Int. J. Appl. Comput. Math 5, 63 (2019). https://doi.org/10.1007/s40819-019-0652-9

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