DRBEM simulation on mixed convection with hydromagnetic effect

The steady and laminar mixed convection flow of a viscous, incompressible, and electrically conducting fluid under the effect of an inclined magnetic field is numerically investigated. Specifically, the two-dimensional flow in a lid-driven cavity with a linearly heated wall is considered. The dual reciprocity boundary element method is used for solving the coupled nonlinear differential equations in terms of stream function, vorticity, and temperature. The study focuses on the effects of the physical parameters, such as Richardson and Hartmann numbers, on the flow field and the temperature distribution at different inclinations of the applied magnetic field. The streamlines and isotherms are used for the visualization of the flow and temperature fields. The code validations in terms of average Nusselt numbers show good agreement with the results given in the literature