Linear instability waves in supersonic jets confined in circular and non-circular ducts

K. Viswanathan, Philip John Morris, G. Chen

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The linear instability of supersonic jets confined in circular and non-circular ducts is investigated both analytically and numerically. In the case of the non-circular duct, the numerical solution is based on the boundary element method. It is shown that the presence of an outer wall introduces additional instability modes. A highly supersonic unconfined jet possesses many modes of instability. These include the Kelvin-Helmholtz instability and supersonic instabilities. The modifications to these instabilities by a coflowing stream and an outer wall are examined. For the case of a circular jet in a circular duct, both a vortex sheet model and a model that includes the effect of a jinite thickness shear layer are considered. The results of these calculations are compared with those for unconfined supersonic jets with an external flow. Finally, the effects of changes in the duct geometry on the instability modes are examined.

Original languageEnglish (US)
Pages (from-to)231-253
Number of pages23
JournalJournal of Sound and Vibration
Volume171
Issue number2
DOIs
StatePublished - Mar 24 1994

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ducts
Ducts
duct geometry
vortex sheets
Kelvin-Helmholtz instability
boundary element method
shear layers
Boundary element method
Vortex flow
Geometry

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "The linear instability of supersonic jets confined in circular and non-circular ducts is investigated both analytically and numerically. In the case of the non-circular duct, the numerical solution is based on the boundary element method. It is shown that the presence of an outer wall introduces additional instability modes. A highly supersonic unconfined jet possesses many modes of instability. These include the Kelvin-Helmholtz instability and supersonic instabilities. The modifications to these instabilities by a coflowing stream and an outer wall are examined. For the case of a circular jet in a circular duct, both a vortex sheet model and a model that includes the effect of a jinite thickness shear layer are considered. The results of these calculations are compared with those for unconfined supersonic jets with an external flow. Finally, the effects of changes in the duct geometry on the instability modes are examined.",
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Linear instability waves in supersonic jets confined in circular and non-circular ducts. / Viswanathan, K.; Morris, Philip John; Chen, G.

In: Journal of Sound and Vibration, Vol. 171, No. 2, 24.03.1994, p. 231-253.

Research output: Contribution to journalArticle

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