Magnetohydrodynamic Jeffrey Nanofluid Flow across an Inclined Stretching Sheet via Porous Media with Slip Effects

In this paper, the authors examine various slip effects on the magnetic field and thermal radiative impacts on the flow, mass and heat transfer of a Jeffrey nanofluid over a 2-dimensional inclined stretching sheet by a porous media. The offered work is modelled to be in the form of a combination of coupled highly nonlinear partial differential equations in dimensional contexts. Governing equations were obtained, dimensionless parameters were defined in terms of similarity parameters, and the solutions were obtained by the Homotopy Analysis Method (HAM). The analysis is significant as the effects of viscosity are identified and the important parameters are to be determined that could eventually control a type of flow behaviour, especially in promoting the flow and inhibiting flow of velocity, temperature, and concentrations. The findings show that such an increase in the magnetic parameter decreases the velocity profile by approximately 15% due to more Lorentz forces, and thermal radiation increases the temperature profile by up to 25%, therefore, enhancing the rate of heat transfer. The process of Brownian motion and thermophoresis increases the depth of the thermal boundary layer by 10–20 percent and reduces in concentration profiles by 12 percent when the Brownian motion parameter increases. A velocity slip parameter lowers the velocity field by about 18 percent, and a parameter of permeability lowers the momentum of flow by another 10 percent. The HAM solutions show very high accuracy levels, having an order of convergence at level 15 and error margins are well below 0.01 percent compared to the earlier studies. All these findings can provide profound knowledge in improving heat transmission in non-Newtonian fluid systems and can be used in biomedical engineering, thermal insulation, and industrial processes such as polymer extrusion and cooling technology. Principles of heat and mass transfer give us the crucial foundation on which to study the behavior of heat and material flows in other engineering and scientific disciplines. Such principles apply to various fields of study, including the following engineering fields: mechanical, chemical, aerospace, civil, and environmental.