The Stability of Viscous Flow between Rotating Concentric Cylinders with a Pressure Cradient Acting round the Cylinders

摘要

In this paper the stability of a viscous fluid between concentric cylinders is analysed, when the basic velocity distribution is the SUB of a velocity distribution due to the rotation of the cylinders, Taylor (1923), and a “pumping” velocity distribution due to a pressure gradient acting round the cylinders, Dean (1928). The critical Taylor masher is computed for a wide range of values of the ratio of average velocity of pulping to average velocity of rotation in the case that the outer cylinder is stationary. It is assuaged that the spacing between the cylinders is small.