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The effects of viscosity on the stability of a trailing-line vortex in compressible flow

Author
Stott, Jillian A. K.
Published
Jul 1, 1994.
Physical Description
1 electronic document
Additional Creators
Duck, Peter W.
Online Version

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Summary
We consider the effects of viscosity on the inviscid stability of the Batchelor vortex in a compressible flow. The problem is tackled asymptotically, in the limit of large (streamwise and azimuthal) wavenumbers, together with large Mach numbers. Previous studies, with viscous effects neglected, found that the nature of the solution passes through different regimes as the Mach number increases, relative to the wavenumber. This structure persists when viscous effects are included in the analysis. In the present study the mode present in the incompressible case ceases to be unstable at high Mach numbers and a center mode forms, whose stability characteristics are determined primarily by conditions close to the vortex axis. We find generally that viscosity has a stabilizing influence on the flow, while in the case of center modes, viscous effects become important at much larger Reynolds numbers than for the first class of disturbance.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19950004756.
Accession ID: 95N11169.
NAS 1.26:194948.
NASA-CR-194948.
ICASE-94-58.
Terms of Use and Reproduction
No Copyright.
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