Influence of inclined Lorentz force on micropolar fluids in a square cavity with uniform and nonuniform heated thin plate

• We investigate the effect of inclined magnetic field on micropolar fluid in a cavity.
• The effects of uniform and non-uniform heated plate are studied.
• The present numerical results are compared with the experimental results.
• The addition of vortex viscosity parameter declines the heat transfer performance.
• The high heat transfer rate occurs in the vertical plate compared to the horizontal one.

In the present study, the effect of inclined magnetic field on natural convection of micro-polar fluid in a square cavity with uniform and nonuniform heated thin plate built in centrally is investigated numerically. The vertical walls are cooled while the top and bottom walls are insulated. The thin plate is assumed to be isothermal with a linearly varying temperature. The governing equations were solved by finite volume method using second order central difference scheme and upwind differencing scheme. The numerical investigation is carried out for different governing parameters namely, the Hartmann number, inclination angle of magnetic field, Rayleigh number, vortex viscosity and source non-uniformity parameters. The result shows that the heat transfer rate is decreased when increasing Hartmann number, inclination angle of magnetic field and vortex viscosity parameter. It is found that the non-uniformity parameter affects the fluid flow and temperature distribution especially for the high Rayleigh numbers. Finally, the overall heat transfer rate of micro-polar fluids is found to be smaller than that of Newtonian fluid.