Department of Mathematics, Sri Siddhartha Institute of Technology, SSAHE, Tumakuru-572105, Karnataka, India

Abstract: An analytical investigation on the steady two-dimensional laminar mixed convective MHD BLF of an Eyring-Powell across a wedge is discussed. Additionally, the effects of joule heating, viscous dissipation, and the heat source are incorporated into the energy equation to analyse heat transfer characteristics. An entropy generation subjected to an electrically conducting fluid and viscous dissipation is examined. In this investigation, the governing nonlinear PDEs are changed into a set of non-linear, coupled ODEs via similarity variables. Nonlinear differential equations were analytically solved by utilizing HAM. The results are illustrated graphically for velocity, thermal, entropy generation and Bejan number distributions for various values of emerging parameters such as fluid parameters, Prandtl number, pressure gradient parameter, heat source, magnetic parameter, buoyancy parameter and Eckert number. Results reveal that the velocity enhances due to larger fluid parameter, magnetic parameter and Buoyancy parameter whereas the entropy profile declines for higher values of fluid parameter. It is scrutinized that the temperature enhances for increasing values of Prandtl number and heat source parameter. Nusselt number and skin friction at the surface are discussed and their numerical values are tabulated. The numerical results are compared with the existing literature, which is a good agreement.

Keywords: BLF; Entropy generation; HAM; Eyring-Powell fluid; MHD; Viscous dissipation, Wedge.

VOLUME 10 ISSUE 09 2026: 1 – 16