On the Stability of Compressible Swirling Flow

Abstract

The linear stability to axisymmetric perturbations of compressible non‐dissipative swirling flow is shown to be insured if a suitably defined “Richardson number” depending on the basic velocity, temperature and density fields everywhere exceeds 1/4. This result combines and generalizes in a natural way some known results for incompressible swirling flow and stratified parallel flow.