<p>This work provides a thorough parametric analysis of generation of entropy during the flow of a Jeffrey nanofluid across an exponentially stretchable surface, taking into consideration effect of magnetic effects and convective heat transfer at the boundary. The governing nonlinear partial differential equations (PDEs) are changed into a system of ordinary differential equations (ODEs) through similarity transformations and subsequently solved using HAM. A detailed analysis is conducted of the influence of key physical constraints such as magnetic field strength, Brownian motion, Deborah number, Lewis number, radiation and thermophoresis on concentration, velocity and temperature profiles. A thorough graphical analysis is conducted to evaluate how these parameters affect entropy production, Sherwood number, skin friction, and Nusselt number. The key finding here is that strengthening the convective heat transfer coefficient enhances surface heat exchange, which raises wall temperatures and significantly increases entropy generation close to the boundary layer. At the same time, the wall’s temperature gradient decreases, which lowers the Nusselt number. The findings provide significant insight for the optimization of thermal systems with non-Newtonian nanofluids under combined convective and magnetic effects.</p>