Three-dimensional stretched flow via convective boundary condition and heat generation/absorption

Purpose - The purpose of this paper is to investigate the three-dimensional flow of viscous fluid with convective boundary conditions and heat generation/absorption. Design/methodology/approach - The governing partial differential equations are reduced into ordinary differential equations by applying similarity transformations. Series solutions of velocity and temperature are found by adopting homotopy analysis method (HAM). Findings - The authors found that an increase in ratio parameter and Hartman number increased the values of skin-friction coefficient, but the values of local Nusselt number are reduced with an increase in Hartman number. Practical implications - The present study is a useful source of information for the investigators in the fields of Newtonian fluids and heat transfer. The results obtained are specifically important in processes of polymer industry and metallurgical. Originality/value - Very scarce literature is available on three-dimensional stretched flow with convective boundary conditions. Mathematical modelling for such flow in regime of magnetohydrodynamics is a main concern here. Performed computations to the resulting nonlinear analysis further enhance its novelty.