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.