Modeling flows displaying dual periodicities - Interactions among circumferential distorsion, pumping and rotating stall, and surge in compressors
Abstract
A model is presented for deriving an exact solution for a pulsed cylindrical incompressible flow undergoing rotation. Attention is focused on the interactions between circumferential flow distorsions caused by an injection of air or cavitation and axial oscillation from pumping, and between cavitation and pumping. The flow is assumed to be composed of steady and unsteady components, with disturbances following the circumferential asymmetry and periodic oscillations along the axial direction. Governing equations are defined for the conservation of mass, motion and energy. The perturbations are treated as not being coupled, which permits treatment with quaternions. The model is of use in designing compressors, particularly the region of the turbine blades, where the effects of both pumping action and cavitation can be predicted.
- Publication:
-
Journal de Mecanique Theorique et Appliquee
- Pub Date:
- 1986
- Bibcode:
- 1986JMecT...5..259F
- Keywords:
-
- Compressible Flow;
- Compressors;
- Flow Distortion;
- Rotating Stalls;
- Surges;
- Flow Velocity;
- Mach Number;
- Phase Shift;
- Quaternions;
- Fluid Mechanics and Heat Transfer