Hostname: page-component-77c89778f8-m42fx Total loading time: 0 Render date: 2024-07-24T07:27:14.716Z Has data issue: false hasContentIssue false

The stability and transition of an axisymmetric wake

Published online by Cambridge University Press:  28 March 2006

Hiroshi Sato
Affiliation:
Institute of Space and Aeronautical Science, University of Tokyo, Japan
Osami Okada
Affiliation:
Institute of Space and Aeronautical Science, University of Tokyo, Japan

Abstract

Experimental and theoretical investigations were made of the instability and transition of the wake behind an axisymmetric slender body at high Reynolds number. The sound from a loudspeaker was used as an artificial disturbance. The velocity fluctuations induced by the sound are selectively amplified depending on the frequency. The wavelength, the phase velocity and the amplification rate of the velocity fluctuations were measured. A linearized stability equation of the disturbance superposed on the axisymmetric wake was solved numerically for both neutral and amplified disturbances. Theoretical results on eigenvalues and eigenfunctions of the stability equation show good agreement with experimental results.

Measurements on phase distributions in streamwise and azimuthal directions indicate that the line of same phase forms a helix and not a series of discrete closed loops.

Type
Research Article
Copyright
© 1966 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. & Gill, A. E. 1962 J. Fluid Mech. 14, 52.
Gold, H. 1964 Private communication.
Kendall, J. M. 1963 Private communication.
Marshall, D. & Stanton, T. E. 1931 Proc. Roy. Soc., A 130, 295.
Möller, W. 1938 Phys. Zeit. 39, 5.
Reynolds, A. J. 1962 J. Fluid Mech. 14, 55.
Roshko, A. 1953 Nat. Adv. Comm. Aero., Wash. TN no. 2913.
Sato, H. 1959 J. Fluid Mech. 7, 5.
Sato, H. & Kuriki, K. 1961 J. Fluid Mech. 11, 32.
Schubauer, G. B. & Skramstad, H. K. 1948 Nat. Adv. Comm. Aero., Wash., Rep. no. 909.
Viilu, A. 1962 J. Appl. Mech. 29, 50.