Abstract
In this article we endeavour to analyse the flow and heat transfer characteristics in a fourth-grade fluid with variable viscosity. Two illustrative models of variable viscosity namely the Reynolds and Vogels are considered. The flow in a stationary cylinder is induced by a constant pressure gradient. Partial slip is taken into account at the wall of the cylinder. Analytic solutions of velocity and temperature are first developed and then discussed in each case. (C) 2009 Published by Elsevier Ltd