Steady Revolving Flow of a Reiner-Rivlin Fluid

Abstract

In this paper the steady revolving flow, otherwise known as the B¨ dewadt flow of a non-Newtonian Reiner-Rivlin fluid is considered. A second order finite difference method (FDM) has been adopted to solve the resulting fully coupled and highly nonlinear system of differential equa-tions. The effects of non-Newtonian cross-viscous param- eter (K ) on the velocity field has been studied in detail and shown graphically. It is interesting to find that an increase in K decreases the torque required to maintain the disk at rest.One of the important findings of the present investigation is that when the non-Newtonian parameter K is increased, solutions to the boundary value problem tend to approach their far-field asymptotic boundary values more rapidly.