Investigation of Reiner–Philippoff nanofluid flow over a stretching sheet considering diffusion and first order velocity slip: Numerical and theoretical analysis

Abstract We simulate the flow characteristics of the Reiner–Philippoff fluid, a traditional non‐Newtonian fluid, which has been enhanced with nanoparticles in this research. The primary focus of the inquiry is the behavior of this fluid across a non linear stretching sheet. The model contains many critical components: thermophoresis, heat radiation, and Brownian motion induced by nanoparticles. Along with considering slip velocity, it also takes into account the non‐linear stress‐deformation properties specific to the Reiner–Philippoff fluid model. The model that is being studied is integrated into the context of the porous media theory proposed by Darcy. A specific type of similarity equation is obtained by transforming the partial derivatives of multidimensional differential equations using suitable similarity transformations. The advanced modified decomposition method (MDM), which reduces complicated equations to more manageable forms for computer solutions, has been used to do a numerical analysis of our model. The MDM utilizes the Mohand transform in combination with the Adomian decomposition method, which carefully takes into account the method's convergence and produces a rapidly converging series solution that approximates the solution of the issue. Linear regression analysis of the provided numerical data formulates correlation equations for skin friction, the Sherwood number, and the Nusselt number. The significance of important variables such as velocity, concentration, and temperature is visually represented. Key findings indicate that increasing the suction parameter and Bingham number reduces the concentration and temperature profiles by a notable margin, while higher magnetic and porous parameters enhance these profiles, demonstrating the substantial influence of these variables on fluid dynamics. Additionally, these study's findings can apply to industries like thermal management, material processing, geothermal energy, and oil recovery, offering advancements in heat transfer, non‐linear flow behavior, and porous media applications. The current model and its numerical solution were validated by comparison with previous solutions in a limited case, demonstrating significant concordance.