Mixed convection flow over a vertical power‐law stretching sheet

Abstract

Purpose

The purpose of this paper is to consider steady two‐dimensional mixed convection flow along a vertical semi‐infinite power‐law stretching sheet. The velocity and temperature of the sheet are assumed to vary in a power‐law form.

Design/methodology/approach

The problem is formulated in terms of non‐similar equations. These equations are solved numerically by an efficient implicit, iterative, finite‐difference method in combination with a quasi‐linearization technique.

Findings

It was found that the skin‐friction coefficient increased with the ratio of free‐stream velocity to the composite reference velocity and the buoyancy parameter while it decreased with exponent parameter. The heat transfer rate increased with the Prandtl number, buoyancy parameter and the exponent parameter.

Practical implications

A very useful source of information for researchers on the subject of convective flow over stretching sheets.

Originality/value

This paper illustrates mixed convective flow over a power‐law stretched surface with variable wall temperature.

Citation

Patil, P.M., Roy, S. and Chamkha, A.J. (2010), "Mixed convection flow over a vertical power‐law stretching sheet", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 4, pp. 445-458. https://doi.org/10.1108/09615531011035839