Impact of a closed-space rectangular heated source on MHD mixed convection flows into a lid-driven cavity with a heated wavy bottom surface in presence of internal heat generation or absorption.

This paper investigated the influence of a closed space rectangular heat source on MHD hybrid convection flow into the lid-driven cavity, keeping a heated waved bottom surface with internal heat absorption or generation. The peak wall of the waved cavity is going at a constant velocity. The vertical walls of the square waved cavity are carried at cold temperatures. In contrast, the peak wall is insulated, and a closed-space rectangular heated source is attached to the middle of the waved cavity. The problem is mathematically solved by a set of suitable GE (governing equations) in concert with an advanced mathematical pinnacle, using GWR (Galerkin weighted residual method) of finite element (FE) procedure. The impression of variation on the Hartmann (Ha) number, Richardson (Ri) number, heat absorption or generation parameter, rectangular bar effectiveness on flow layout, and Nuesselt number were explored in detail. The numerical outcomes are shown in graphical terms of isotherms, streamlines, rectangular bar effectiveness, velocity shapes, and average Nusselt ( ) number. As the size of the rectangular heated source rises, the average Nusselt number declines within a heated wall for all Richardson (Ri) numbers of the enclosures. There is an effective reduction in the average Nusselt number when the magnetic field grows. When heat is generated, the average Nusselt number declines, whereas heat absorption ascends it. Results are substantiated relating to the published work.