Momentum and heat transfer of an upper-convected Maxwell fluid over a moving surface with convective boundary conditions

This study discusses the flow and heat transfer in an upper-convected Maxwell (UCM) fluid over a moving surface in the presence of a free stream velocity. The convective boundary conditions have been handled. Similarly transformations are invoked to convert the partial differential equations governing the steady flow of a Maxwell fluid into an ordinary differential system. This system is solved by a homotopic approach. The effects of influential parameters such as Deborah number (β), Prandtl number (Pr), Eckert number (Ec), suction parameter (S) and ratio (λ) have been thoroughly examined.

► Boundary layer flow of an upper-convected Maxwell (UCM) fluid over a moving surface. ► Convective boundary conditions have been used. ► Series solutions are obtained by homotopy analysis method (HAM). ► Graphical results for various interesting parametric values.