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Cylindrical sound wave generated by shock-vortex interactionThe passage of a columnar vortex broadside through a shock is investigated. This has been suggested as a crude, but deterministic, model of the generation of 'shock noise' by the turbulence in supersonic jets. The vortex is decomposed by Fourier transform into plane sinusoidal shear waves disposed with radial symmetry. The plane sound waves produced by each shear wave/shock interaction are recombined in the Fourier integral. The waves possess an envelope that is essentially a growing cylindrical sound wave centered at the transmitted vortex. The pressure jump across the nominal radius R = ct attenuates with time as 1/(square root of R) and varies around the arc in an antisymmetric fashion resembling a quadrupole field. Very good agreement, except near the shock, is found with the antisymmetric component of reported interferometric measurements in a shock tube. Beyond the front r approximately equals R is a precursor of opposite sign, that decays like 1/R, generated by the 1/r potential flow around the vortex core. The present work is essentially an extension and update of an early approximate study at M = 1.25. It covers the range (R/core radius) = 10, 100, 1000, and 10,000 for M = 1.25 and (in part) for M = 1.29 and, for fixed (R/core radius) = 1000, the range M = 1.01 to infinity.
Document ID
19860026497
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Ribner, H. S.
(NASA Langley Research Center Hampton, VA; Toronto, University, Downsview, Canada)
Date Acquired
August 12, 2013
Publication Date
November 1, 1985
Publication Information
Publication: AIAA Journal
Volume: 23
ISSN: 0001-1452
Subject Category
Acoustics
Accession Number
86A11235
Distribution Limits
Public
Copyright
Other

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