Entropy Generation Effects on Hydromagnetic Williamson Nanofluid Flow through a Porous Media

Background: Two-dimensional Williamson nanofluid flow with magnetic effects occurs through an extending surface immersed in a porous media. This includes the impact of the applied magnetic field, chemical reactions, variable thermal conductivity, and heat generation. Based on the above assumption, this study investigates a hydromagnetic Williamson nanofluid passed through a stretching surface embedded in a porous media that is being analysed by assuming the impact of thermal radiation and magnetic field on the flow properties. Methods: After using an appropriate similarity transformation, the governing equations with boundary conditions were converted into a dimensionless form. These derived ordinary differential equations are highly nonlinear partial differential equations that are solved numerically using the spectral local linearisation method. Results: An analysis and comparison of results with existing literature are reported here. Excellent agreement has been found between our results and those previously published. The impact of the magnetic field parameters, heat generation, variable thermal conductivity, and chemical reaction parameters on the velocity, thermal, and concentration profiles are inspected in graphical and tabular forms. Conclusion: The outcomes indicate that the velocity reduces with the increase in Williamson, porosity, and magnetic field parameters, whereas the concentration profile improves with these parameters. Entropy generation rate is also enhanced when the concentration difference parameter, Reynolds number, and Brinkman number are increased. Our results are extremely relevant and prove the same. A rise in the porosity parameter drops the velocity profiles but increases the temperature and concentration profiles. The entropy generation number is enhanced when the concentration difference parameter, Reynolds, and Brinkman numbers are increased.