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

Abstract

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.

Citation

Hayat, T., Ali Shehzad, S., Qasim, M. and Asghar, S. (2014), "Three-dimensional stretched flow via convective boundary condition and heat generation/absorption", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 2, pp. 342-358. https://doi.org/10.1108/HFF-03-2012-0065