Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate

摘要

In this communication a generalized three-dimensional steady flow of a viscous fluid between two infinite parallel plates is considered. The flow is generated due to uniform stretching of the lower plate in x-and y-directions.It is assumed that the upper plate is uniformly porous and is subjected to constant injection. The governing system is fully coupled and nonlinear in nature. A complete analytic solution which is uniformly valid for all values of the dimensionless parameters β, Re and λ is obtained by using a purely analytic technique, namely the homotopy analysis method.Also the effects of the parameters β, Re and λ on the velocity field are discussed through graphs.