SAMS Subject Classification Number: 10, 20, 23

The advent of nanotechnology together with one of its offspring known as nanofluid has revolutionized the thermal management, efficiency, reliability, and performance of various engineering and industrial systems. In this paper, the effects of magnetic field, surface slipperiness, thermophoresis, and Brownian motion on stagnation point flow of an incompressible nanofluid towards a convectively heated shrinking surface is theoretically examined. Under the flow assumptions and similarity transformation, the balanced governing equations of continuity, momentum, energy, and nanoparticles concentration transport are obtained. Shooting numerical technique coupled with the Runge-Kutta-Fehlberg integration scheme are employed to tackle the model problem. The existence of dual solutions in the specific range of shrinking surface parameter is found. Temporal stability analysis is performed, and upper solution branch is found to be a stable and physically realistic solution to the problem. Pertinent results depicting the effects of various emerging thermophysical parameters on nanofluid velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number are obtained graphically and discussed.