Analysis of Finite Cylinders Rotating Within Moderate Clearance Ratios

The Navier-Stokes equations are examined here for the flow of an incompressible fluid contained between rotating eccentric cylinders of finite length and moderate clearance ratios. Based on a modified form of the Reynolds Equation an analytical solution for short cylinders, and numerical results for finite configurations are given for the range of Reynolds numbers and (C/R) ratios in which inertia forces can be neglected. In a subsequent paper consideration will be given to the range of Taylor numbers in which inertia and transverse effects may become significant.