Effects of Magnetic Field and Chemical Reaction on Stagnation-Point Flow and Heat Transfer of a Nanofluid Over an Inclined Stretching Sheet

This article investigates steady, laminar, stagnation-point flow of an incompressible nanofluid over an impermeable stretching sheet in the presence of a uniform magnetic field and a homogeneous chemical reaction. The governing partial differential equations with the corresponding boundary conditions for the flow problem considered are reduced to a system of non-linear ordinary differential equations using suitable similarity transformations. The transformed non-linear ordinary differential equations are then solved numerically using the Runge-Kutta-Fehlberg method of fourth-fifth order. Graphical results are shown and discussions are carried out for the non-dimensional velocities, temperature and nanoparticle concentration near the stagnation point for the effects of the magnetic field, chemical reaction, and the Brownian motion and thermophoretic parameters. Comparison with previously published work is performed and an excellent agreement is observed for the limited case of existing literature.