The present study reports a computational analysis of entropy generation on the MHD flow behavior of two-dimensional Casson hybrid nanofluid over a porous curved stretching sheet in the appearance of thermal radiation. To examine the rheology of the blood we have incorporated Casson fluid model in which comparison is done for both Newtonian and non-Newtonian models. In this investigation, we used the blood as based and Tantalum ( Ta) and Cobalt ( Co) are nanoparticles due to an extensive range of biomedical applications such as an agent to prevent the heat transfer of blood and wounded tissue, treatments of anemia, and treatment of cancer therapeutics. The governing non-linear coupled partial differential equations are altered into non-linear coupled ordinary differential equations by using the similarity variables. The Homotopy Perturbation Method is used to solve the newly renovated equations semi-analytically. The semi-analytical outcomes are validated with numerical outcomes obtained through the shooting method, and they are also compared to available literature as a limiting case. Graphical projections are supplied with the influence of active parameters for velocity, temperature, Bejan number, entropy production, skin friction, and Nusselt number. The velocity profile increases for higher values of curvature parameter, and mixed convection parameter. The temperature profile increases, when increases the thermal radiation and magnetic parameters. Higher values of the nanoparticle’s volume fraction enhance the rate of heat transfer. Compare to the Newtonian fluid model non-Newtonian provide higher heat transfer.

The present study scrutinizes the significance of magnetohydrodynamics, thermal radiation, and heat transfer in the mixed convective two-dimensional flow, which is constituted of ( EG (30%) + water (70%), CuO, and MgO) hybrid nanofluid over a curved stretching sheet. Along with this Joule heating, viscous dissipation and heat generation are considered account. The governing non-linear coupled partial differential equations are converted into non-linear coupled ordinary differential equations and then the homotopy perturbation method is utilized. When compared to the numerical method (Runge–Kutta method), the homotopy perturbation method produces more precise and dependable results. For velocity, temperature, Bejan number, entropy generation, skin friction, and Nusselt number, graphical results are provided with the impact of active parameters. The velocity profile increases for higher values of curvature parameter, mixed convection parameter. The temperature profile rises when the thermal radiation parameter increases. Also temperature profile decreases when the values of thermal slip parameter and slip parameters increase. The skin friction coefficient is growing when the curvature parameter and the slip parameter both rises. When the magnetic parameter is increased the skin friction decreases. The current research can be applied in the areas such as transpiration, fiber coatings, coolants, heat exchangers, and other similar devices.

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