Abstract
The present paper endeavors to scrutinize the unsteady magnetohydrodynamic (MHD) second grade nanofluid over a porous stretching sheet in the presence of convective boundary and nanoparticles flux conditions. The influence of the thermal radiation is scrutinized by utilizing nonlinear Rosseland approximation. The self-similarity transformation is used to transfer the governing partial differential equations into the ordinary differential equations. The resulting problem under consideration is solved analytically by using the homotopy analysis method (HAM). The effect of non-dimensional parameters on the temperature, concentration and local Nusselt is discussed by using graphs and tables. It is perceived that the temperature of the second grade nanoliquid declines as unsteadiness Parameter enhances. Moreover, it is estimated from the plots that the concentration of the second grade nanoliquid drops as the Brownian motion parameter increases while the reverse trend is detected for the thermophoresis parameter.