On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet

Abstract

A comprehensive mathematical analysis has been carried out on momentum, heat and mass transfers in a viscoelastic boundary layer fluid flow over an exponentially stretching continuous sheet. The contributions of the viscous dissipation and elastic deformation have been taken into account in this study. Zeroth order analytical local similar solution of the highly non-linear stream function equation and confluent hypergeometric solutions of heat and mass transfer equations are obtained. These solutions involve an exponential dependence of stretching velocity, prescribed boundary temperature and concentration, prescribed boundary heat flux and concentration flux on the flow directional coordinate. The contribution of elastic deformation on various heat transfer characteristics is examined. The effects of various physical parameters like local viscoelastic parameter, Prandtl number, local Reynolds number, local Eckert number and Schmidt number on various momentum, heat and mass transfers characteristics are presented in this paper. © 2005 Elsevier SAS. All rights reserved.