Series solution for heat transfer of continuous stretching sheet immersed in a micropolar fluid in the existence of radiation

Abstract

Purpose

The purpose of this paper is to study a two‐dimensional steady convective flow of a micropolar fluid over a stretching sheet in the presence of radiation with constant temperature.

Design/methodology/approach

The corresponding momentum, microrotation and energy equations are analytically solved using homotopy analysis method (HAM).

Findings

To validate the method, investigate the accuracy and convergence of the results, a comparison with existing numerical and experimental results is done for several cases. Finally, by using the obtained analytical solution, for the skin‐friction coefficient and the local Nusselt number as well as the temperature, velocity and angular velocity, profiles are obtained for different values of the constant parameters, such as Prandtl number, material, boundary and radiation parameter.

Originality/value

In this paper, a series solution is presented for the first time.

Citation

Shadloo, M.S., Kimiaeifar, A. and Bagheri, D. (2013), "Series solution for heat transfer of continuous stretching sheet immersed in a micropolar fluid in the existence of radiation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 2, pp. 289-304. https://doi.org/10.1108/09615531311293470