Numerical study on influence of inclination and sinusoidal heating on magneto-convection in an inclined lid-driven cavity

Purpose The numerical analysis is to scrutinize the collective effect of convective current along with the thermal energy transport in an inclined lid-driven square chamber with sine curve based temperature at the lower wall in the existence of unchanging external magnetic field. Insulation has been placed on the left and right of the box to increase the effective space volume of the shell. The thermal condition at ceiling wall is kept lower than the one on the floor. Design/methodology/approach The finite volume method employs to discretize (non-dimensional) system of equations govern the model. The heat transfer rate is measured by adjusting various variables, such as the Richardson number Hartmann number, inclination of an enclosure. Findings The flow behavior of enclosure convection is more highly influenced within the natural convection when enclosure inclination varies as well as magnetic field strength. The overall heat transfer rate decreases due to increase in both the Hartmann number as well as Richardson number. Practical implications The results of the present study are very useful to the cooling of electronic equipments. Social implications The study model is useful to the thermal science community and modelling field. Originality/value This research is a novel work on mixed convection flow in an inclined chamber with sinusoidal heat source.