Effects of slip on steady Bödewadt flow of a non-Newtonian fluid

The steady flow arising due to the rotation of a non-Newtonian fluid at a larger distance from a stationary disk is extended to the case where the disk surface admits partial slip. The constitutive equation of the non-Newtonian fluid is modeled by that for a Reiner–Rivlin fluid. The momentum equation gives rise to a highly nonlinear boundary value problem. Numerical solution of the governing nonlinear equations are obtained over the entire range of the physical parameters. The effects of slip and non-Newtonian fluid characteristics on the momentum boundary layer are discussed in details. It is observed that slip has prominent effect on the velocity field, whereas a predominant influence of the non-Newtonian parameter is observed on the moment coefficient.

► Revolving flow of a non-Newtonian Reiner–Rivlin fluid near an infinite stationary disk. ► Effects of partial slip on the momentum boundary layer. ► Effects of non-Newtonian cross-viscous parameter on the velocity field. ► System of nonlinear ordinary differential equations. ► Finite difference method.