Boundary layer flow of nanofluid over a nonlinearly stretching sheet with convective boundary condition

The steady laminar two-dimensional flow of nanofluid due to nonlinearly stretching sheet is discussed. Convective surface boundary condition is employed for a thermal boundary layer problem. The newly proposed boundary condition is considered that requires nanoparticle volume fraction at the wall to be passively rather than actively controlled. Suitable similarity transformations are introduced to non-dimensionalize the governing boundary layer equations. The velocity, temperature and nanoparticle volume fraction distributions are determined by two methods namely 1) optimal homotopy analysis method and 2) fourth-fifth-order Runge-Kutta method based shooting technique. The results obtained by two solutions are in excellent agreement. Behavior of interesting parameters on the flow fields is thoroughly presented and discussed.