A brief note on the computation of the Bödewadt flow with Navier slip boundary conditions

Bikash Sahoo (1) , Saied Abbasbandy (2) , Sébastien Poncet (3)

1 National Institute of Technology Rourkela
2 Department of Mathematics, Science and Research Branch
3 M2P2 - Laboratoire de Mécanique, Modélisation et Procédés Propres

In this short communication, numerical solutions are obtained for the steady Bödewadt flow of a viscous fluid subject to partial slip boundary conditions. The resulting system of nonlinear and fully coupled similarity equations are integrated accurately by a finite difference scheme and by the Keller-box method. It is observed that slip has a prominent effect on the velocity field, reducing drastically the axial velocity and the pressure. Moreover, the torque required to maintain the disk at rest decreases for increasing values of slip.

Mots clés: Rotating flow; Partial slip; Finite difference method; Keller-box method

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Equations aux dérivées partielles [math.AP]

Bikash Sahoo, Saied Abbasbandy, Sébastien Poncet. A brief note on the computation of the Bödewadt flow with Navier slip boundary conditions. Computers and Fluids, 2014, 90, pp.133-137. ⟨10.1016/j.compfluid.2013.11.020⟩. ⟨hal-00976676⟩