Tangential Newtonian flow in annuli—II: Stead state pressure profiles

Abstract

It is shown how the pressure distribution for isothermal, tangential flow of an incompressible fluid in an annulus may be calculated by first solving the problem for a compressible fluid and then taking the limit as the deviation from incompressibility vanishes. An analytical expression for pressure vs. the radial co-ordinate is obtained for either or both of the cylinders in motion.