On compressible circular Rayleigh problem of hydrodynamic stability

Here we develop general analytical results on the linear instability problem of inviscid compressible axial flows in the annular region between two coaxial cylinders to axisymmetric disturbances. For shear-free basic flows the non-existence of propagating subsonic modes is shown. An instability regi...

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Bibliographic Details
Published inSadhana (Bangalore) Vol. 46; no. 3
Main Authors Pavithra, P, Subbiah, M
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.09.2021
Springer Nature B.V
Subjects
Axial flow
Compressibility
Engineering
Propagation modes
Stability analysis
Wave velocity
inviscid
axisymmetric disturbances
Hydrodynamic stability
compressible
axial flows
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Summary:Here we develop general analytical results on the linear instability problem of inviscid compressible axial flows in the annular region between two coaxial cylinders to axisymmetric disturbances. For shear-free basic flows the non-existence of propagating subsonic modes is shown. An instability region for subsonic modes within which the complex wave velocity should lie is shown to be a semi-ellipse-type region that depends on the compressibility. For near-neutral subsonic modes some estimates for growth rates are derived and it is shown further that the growth rate tends to zero as the axial wave number tends to infinity.
ISSN:0256-2499
0973-7677
DOI:10.1007/s12046-021-01696-z