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

Bikash Sahoo (1) , Sébastien Poncet (2)

1 National Institute of Technology Rourkela
2 M2P2 - Modélisation et Simulation Numérique (en mécanique des fluides)

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.

Mots clés: Reiner-Rivlin fluid; Bödewadt flow; Partial slip; Finite difference method

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Bikash Sahoo, Sébastien Poncet. Effects of slip on steady Bödewadt flow of a non-Newtonian fluid. Communication Nonlinear Science Numerical Simulation, 2012, 17, pp.4181-4191. ⟨10.1016/j.cnsns.2012.02.031⟩. ⟨hal-00822028⟩