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On the Stability of Compressible Swirling Flow
Author(s) -
Howard Louis N.
Publication year - 1973
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197352139
Subject(s) - compressibility , dissipative system , flow (mathematics) , compressible flow , mathematics , rotational symmetry , mechanics , incompressible flow , stability (learning theory) , physics , thermodynamics , computer science , machine learning
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.