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The wave modes in ducted swirling flows

Published online by Cambridge University Press:  25 September 1998

CHRISTOPHER K. W. TAM  and
LAURENT AURIAULT
CHRISTOPHER K. W. TAM
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USA; email: [email protected]
LAURENT AURIAULT
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USA; email: [email protected]
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Abstract

The small-amplitude wave modes inside a ducted inviscid compressible swirling flow are investigated. In order to avoid possible mathematical ambiguities arising from the use of an inviscid flow model, the wave modes are cast as the solution of an initial boundary value problem. Two families of propagating waves are found. The acoustic modes are supported by the compressibility effect of the flow. The rotational modes are sustained by the centrifugal force field associated with the mean flow rotation. Two cases, one with a free-vortex swirl and the other with a rigid-body swirl, are investigated in some depth. Numerical results are provided.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 371 , 25 September 1998 , pp. 1 - 20
Copyright
© 1998 Cambridge University Press

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