Open AccessIX. On the alleged slipping at the boundary of a liquid in motion
Author(s) -
W. C. D. Whetham
Publication year - 1890
Publication title -
philosophical transactions of the royal society of london. a
Language(s) - English
Resource type - Journals
eISSN - 2053-9231
pISSN - 0264-3820
DOI - 10.1098/rsta.1890.0010
Subject(s) - slipping , tube (container) , radius , mechanics , viscosity , motion (physics) , boundary layer , physics , boundary (topology) , thermodynamics , classical mechanics , materials science , geometry , mathematics , mathematical analysis , composite material , computer security , computer science
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. Letr 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.