Entropy Generation Analysis and Performance Evaluation of MHD Flow in a Porous Channel With Navier‐Slip, Isothermal/Isoflux Boundaries

ABSTRACT This paper presents an analytical investigation of entropy generation in a viscous, incompressible, electrically conducting fluid subjected to a constant pressure gradient between two parallel porous plates. One plate was maintained at ambient temperature, while the other alternated between continuous heating and constant heat flux conditions. The energy equation accounts for viscous dissipation and Joule heating effects and the entropy generation is evaluated based on the velocity and temperature profiles obtained in accordance with the governing flow constraints. The dimensional momentum and energy equations are transformed into nonlinear ordinary differential equations (ODEs) using appropriate dimensionless similarity variables. The resulting ODEs are solved analytically using the method of undetermined coefficients. The contributions to entropy generation from heat transfer and the combined effects of fluid friction and magnetic field are identified. The influence of key dimensionless parameters on velocity, temperature, entropy generation number, and Bejan number is thoroughly analyzed. Furthermore, the performance of isothermal and isoflux boundary conditions in minimizing entropy generation is examined using graphical results. A favorable agreement is observed between the findings of this study and existing results in the literature.