Stagnation-point flow of a Sisko nanofluid over a stretching surface with heat generation and nano-transport phenomena.

The present investigation focuses on the transient magnetohydrodynamic (MHD) behaviour of the stagnation-point flow of a Sisko nanofluid past a stretching surface, highlighting the interactive influence of internal heat generation and nano-scale transport mechanisms. The study integrates the rheological complexity of the Sisko model with nanoparticle motion induced by Brownian diffusion and thermophoresis, both of which substantially modify the fluid's momentum, thermal, and solutal layers. Through appropriate similarity transformations, the governing nonlinear partial differential equations are transformed and parameterized into a set of coupled ordinary differential equations, subsequently solved using MATLAB's bvp4c routine. A systematic evaluation of controlling parameters including the Sisko material constant, Brownian diffusion, thermophoretic strength, and heat generation coefficient-has been performed to elucidate their respective impacts on velocity, temperature, and concentration distributions. The findings reveal that nano-scale diffusion processes intensify both thermal and solutal gradients, whereas internal heat generation augments the thermal boundary layer thickness. This study delivers deeper theoretical understanding of non-Newtonian nanofluid dynamics and underscores its significance for enhanced heat transfer applications in polymer extrusion, coating systems, and advanced thermal manufacturing operations.