Heat-generating obstacle of nanofluid flow in a Rhombu-shaped enclosure filled with porous media

This study focuses on the flow of nanofluid with a heat-generating obstacle in a rhombus-shaped enclosure that is filled with porous media. In this analysis, the influence of porous media on the dimensionless parameters Richardson number and Darcy number is considered for the heat-generating obstacle field. The numerical solutions for the problem are obtained using the Galerkin weighted residual method. This study examines the impact of the Darcy number and Richardson number on various aspects such as streamlines isotherms, dimensionless temperature, velocity profiles, average Nusselt numbers, and average fluid temperature. The results indicate that both parameters have a significant influence on streamlines and isotherms. Moreover, the Darcy number is found to be a good control parameter for heat transfer in fluid flow through a porous medium in the enclosure. A correlation for the average Nusselt number is presented for different Darcy and Richardson numbers. Finally, the results are compared with published work, and a favorable agreement is achieved, validating the current study.