Nonaxisymmetric Flow in the Narrow Gap Between a Rotating and a Stationary Disk

Abstract

The flow between a rotating disk and a stationary disk, with nonaxisymmetric boundary conditions is studied. A flow field of this type exists in the narrow gap between the rotor and side plates of a rotary vane compressor. Fluid is admitted into the gap in the center of the disk for the purpose of sealing against leakage due to the nonaxisymmetric pressure distribution externally imposed on the disk circumference. The flow is solved analytically by a perturbation technique. Flow maps and pressure maps are obtained for various operating conditions. The effectiveness of the fluid seal is evaluated for these conditions by calculating the flow rates that pass through the gap. The flow field is simulated on a test apparatus and experimental verification is given to the analytical results. The results obtained indicate the possibility of appreciably reducing the leakage through the gap by a proper selection of the fluid pressure and the disk geometry.