Effects of partial slip on a fourth-grade fluid with variable viscosity: An analytic solution

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.