Analytical approximation of heat and mass transfer in MHD non-Newtonian nanofluid flow over a stretching sheet with convective surface boundary conditions

The paper provides an analytical investigation, homotopy analysis method (HAM), of the heat and mass transfer for magnetohydrodynamic Oldroyd-B nanofluid flow over a stretching sheet in the presence of convective boundary condition. The PDE governing equations, which consist of equations of continuity, momentum, energy and nanoparticles, are converted to ordinary differential equations using similarity transformations. The current HAM solution demonstrates very good correlation with those of the previously published studies in the special cases. The influences of different flow physical parameters such as the Deborah numbers in terms of relaxation and retardation times (beta(1), beta(2)), magnetic parameter (M), Prandtl number (Pr), Brownian motion parameter (Nb), thermophoresis parameter (Nt), Lewis number (Le), and Biot number (Bi) on the fluid velocity component (f'(eta)), temperature distribution (theta(eta)) and concentration (phi(eta)) as well as the local Nusselt number (Nu(x)/Re-x(1/2)) and the local Sherwood number (Sh(x)/Re-x(1/2)) are discussed in detail.