IX. On the alleged slipping at the boundary of a liquid in motion

Abstract

In treatises on hydrodynamics, the flow of a liquid through a straight tube is investigated on the supposition that there may be finite slipping between the walls of the tube and the outermost layer of liquid. This leads to the introduction of a “slipping coefficient” which vanishes when there is no relative motion between them. Let r denote the radius of the tube. p 1 the pressure at one end, p 2 the pressure at the other, μ the coefficient of viscosity, l the length of the tube, ρ the density of the liquid.