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

• The steady Bödewadt flow of a viscous fluid subject to partial slip boundary conditions is investigated numerically.
• A finite difference method is compared to the Keller-box method.
• Slip has prominent effect on the velocity field reducing drastically the axial velocity component when slip lengths increase.
• The torque required to maintain the disk at rest decreases for increasing values of slip.

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.