Impact of magnetic field on conjugate mixed convection heat transfer in a lid-driven triangular enclosure with an inclined wavy wall and internal heat generation

This study numerically investigates conjugate mixed convection heat transfer, magnetohydrodynamic effects, and internal heat generation within a lid-driven triangular wavy enclosure with a rotating solid cylinder at its center. The significance of this work is to provide insights into the complex interplay of heat transfer, fluid flow, and magnetic field effects in a geometrically challenging enclosure for thermal management systems. The inclined chamber edges are stationary and maintained at a constant cold temperature, while a constant elevated temperature is applied to the uniformly sliding bottom edge. A steady magnetic field is applied to the enclosure while the solid cylinder rotates in a clockwise manner. By varying the Reynolds (31.623–316.23), Richardson (0.1–10), Grashof (10 3 –10 5 ), and Hartman number (0, 50, 100) along a given speed ratio of the spinning cylinder, parametric simulation is performed. Qualitative findings are illustrated with streamline and isotherm plots. On the other hand, the quantitative thermal performance and flow characteristics of the configuration are determined by means of the average Nusselt number, average drag coefficient, normalized Nusselt number, as well as average fluid temperature. This investigation shows that the use of a magnetic field provides better control over the temperature distribution, along with a decreasing trend in heat transmission due to the rise in Hartmann number. The optimal design of the controlling parameters can be ascertained using the available detailed data.