Unsteady hydromagnetic slip flow and heat transfer of nanofluid over a moving surface with prescribed heat and mass fluxes

An unsteady two-dimensional laminar boundary layer flow of viscous, incompressible nanofluid over a vertical stretching surface with hydromagnetic field has been investigated numerically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis in the presence of partial slip on the velocity field. Two types of general heating processes namely, the prescribed surface temperature and concentration and the prescribed wall heat and nanoparticle flux are imposed on the stretching surface. By applying similarity analysis, the governing partial differential equations are transformed into a set of time-dependent nonlinear coupled ordinary differential equations and they are solved by Runge-Kutta-Fehlberg method along with shooting technique. The effects of governing parameters on the dimensionless velocity, temperature and concentration distributions are discussed. Moreover, the numerical results obtained in this study is compared with the existing literature and found that they are in good agreement.