The intention of this article is to explore the entropy generation in EMHD hybrid nanofluid on a stagnation point in the presence of slips, heat generation and viscous dissipation. The fluid in the enclosure is water containing hybrid nanoparticles Ag-Cu . Suitable self-similarity variables are employed to transform the nonlinear differential systems into an ordinary differential system, which computed via homotopy perturbation method (HPM). The comparison with the homotopy perturbation method (HPM) gives an accurate and reliable result than the numerical method (Runge-Kutta method). The graphical results are expressed for velocity, temperature, entropy generation, Bejan number, skin friction and Nusselt number with an impact of active parameters. The higher values of electric field enhancing the velocity whereas the opposite nature for a magnetic field parameter. The entropy generation rises for higher values of a magnetic parameter, Eckert number and temperature difference parameter. In the magnetic field and electromagnetic field plays an important role in biomedical applications especially radiofRequency ablation (RFA), magnetic resonance imaging (MRI), cancer therapy, tumor therapy, malaria infection. This theoretical investigation may be profitable in biomedical engineering, especially cardiology, cure of skin disorders and treat tumors in Uterus.

This current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, converting them into ordinary differential equations. These equations were subsequently solved using the Runge–Kutta–Fehlberg (RKF) method. Through graphical representations like graphs and tables, the study demonstrates how various dynamic factors influence the fluid’s transport characteristics. Additionally, the artificial neural network (ANN) approach is considered an alternative method to handle fluid flow issues, significantly reducing processing time. In this study, a novel intelligent numerical computing approach was adopted, implementing a Levenberg–Marquardt algorithm-based MLP feed-forward back-propagation ANN. Data collection was conducted to evaluate, validate, and guide the artificial neural network model. Throughout all the investigated geometries, both velocity and induced magnetic profiles exhibit a declining trend for higher values of the magnetic parameter. An increase in the Dufour number corresponds to a rise in the nanofluid temperature. The concentration of nanofluid increases with higher values of the Soret number. Similarly, the nanofluid velocity increases with higher velocity slip parameter values, while the fluid temperature exhibits opposite behavior, decreasing with increasing velocity slip parameter values.

This study aims to analyze the heat transfer behavior of the magnetohydrodynamic blood-based Casson hybrid nanofluid in the occurrence of a non-Fourier heat flux model and linear thermal radiation over a horizontal porous stretching cylinder with potential applications in biomedical engineering. The present investigation utilised titanium dioxide and silver nanoparticles, which exhibit considerable potential in the realm of cancer therapy. Thus, there is a growing interest among biomedical engineers and clinicians in the study of entropy production as a means of quantifying energy dissipation in biological systems. Suitable self-similarity variables are employed to transform the nonlinear mathematical equations such as velocity, temperature, skin friction coefficient, and heat transfer rate, which are computed via homotopy perturbation method (HPM). HPM computations have been executed to solve the influences of various parameters such as porosity parameter (K=0.0,1.0,2.0), Curvature parameter (α=0.0,1.0,3.0,5.0), Casson parameter (β=0.0,0.5,1.5), inertia coefficient (Fr=0.5,1.5,2.5), thermal relaxation parameter (δ∗=0.0,0.5,1.0), radiation (Rd=0.0,0.5,1.0), Eckert number (Ec=0.0,0.1,0.2), Brinkman number (Br=0.5,1.0,1.5) and temperature difference parameter (α1=0.0,0.5,1.0). The comparison using the homotopy perturbation technique produces a more accurate and reliable consequence than the numerical method (Runge-Kutta method). The higher values of the Casson and Curvature parameters decrease the velocity profile. The temperature profile of M = 1 and M = 0 increases with improving values of the thermal relaxation parameter. Entropy generation rises to enhance Brinkman number values, whereas Bejan number exhibits the reverse influence. Improving the value of the heat source parameter declines the Nusselt number.

The current study emphasises the stability test of electrical magneto hydrodynamic stagnation point flow of hybrid nanofluids with entropy generation in the existence of velocity and thermal slips over a porous slendering stretchable sheet. A mathematical modelling of A g − C u /water hybrid nanofluid has been explored. Heat transfer proficiency of airplane wings is evaluated with the inclusion of distinguished effects like viscous dissipation and solar-based thermal radiation, so we included them in this article. Using suitable self-similarity transformations, the system of the fluid transport equations are converted into an ordinary differential system, which are determined by utilising the bvp4c in MATLAB software. The achieved outcomes are expressed as the skin friction, Nusselt number, velocity, temperature, Bejan number, entropy generation and streamlines with an influence of diverse physical parameters. The boundary-layer separation happens when the number of results fails to happen ahead of the critical value of the contracting parameter. To show the effect on flow and heat transfer of appropriate parameters, graphs are used. Stability is shown to be better in solution one than in the second, according to the results. The wall thickness variable augmented the velocity profile of the hybrid nanofluid for the first solution and a contrary for the second solution. Higher values of the thermal radiation parameter resulted in enhanced temperatures in the first and second solutions. It is also observed that the rate of heat transfer in the first solution increased as the electric field value increased.