A porous slider with velocity slip

A porous slider, i.e. a solid levitated by fluid injection from its porous bottom to reduce the sliding drag, is studied theoretically in this paper. Slip is present on both the slider and the ground. This three-dimensional problem is transformed to a set of high-order, nonlinear similarity equations. Asymptotic solutions for high or low cross-flow Reynolds numbers and numerical integration are used for both the strip slider and the circular slider. We find that the Reynolds number and the surface slip have a significant effect on the lift and drag of the slider.