Three-Dimensional Flow of an Oldroyd-B Nanofluid towards Stretching Surface with Heat Generation/Absorption

This article addresses the steady three-dimensional flow of an Oldroyd-B nanofluid over a bidirectional stretching surface with heat generation/absorption effects. Suitable similarity transformations are employed to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. These nonlinear ordinary differential equations are then solved analytically by using the homotpy analysis method (HAM). Graphically results are presented and discussed for various parameters, namely, Deborah numbers [Image: see text] and [Image: see text], heat generation/absorption parameter [Image: see text] Prandtl parameter [Image: see text], Brownian motion parameters[Image: see text], thermophoresis parameter [Image: see text] and Lewis number [Image: see text]. We have seen that the increasing values of the Brownian motion parameter [Image: see text] and thermophoresis parameter [Image: see text] leads to an increase in the temperature field and thermal boundary layer thickness while the opposite behavior is observed for concentration field and concentration boundary layer thickness. To see the validity of the present work, the numerical results are compared with the analytical solutions obtained by Homotopy analysis method and noted an excellent agreement for the limiting cases.