Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-19T22:44:35.910Z Has data issue: false hasContentIssue false
  • English
  • Français

Instability and transition of the axisymmetric wake of a slender body of revolution

Published online by Cambridge University Press:  19 April 2006

Leigh F. Peterson  and
Francis R. Hama
Leigh F. Peterson
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, New Jersey 08540 Present address: Research School of Physical Sciences, The Australian National University, P.O. Box 4, Canberra A.C.T. 2600.
Francis R. Hama
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, New Jersey 08540
Get access Rights & Permissions [Opens in a new window]

Abstract

The growth of small disturbances in the incompressible axisymmetric wake of a slender body of revolution has been studied experimentally. The experiments were performed in a running water channel at a Reynolds number of 3600 based on the body diameter and free-stream velocity, without any artificial stimulation of the wake. Digital techniques have been used to analyse the output signals of a multichannel hot-film anemometer system.

Analysis of the mean velocity profiles and the velocity fluctuations shows that the wake can be divided into three regimes: the near wake or adjustment region, a region of locally parallel flow, and the far wake. The near wake is characterized by the adjustment of the mean velocity profile from that in the boundary layer of the body to the wake profile. At the same time, the structure of the disturbances in the boundary layer seems to adjust to a different structure in the wake. Large velocity gradients in both the streamwise and the radial direction are present in this region. In the region of locally parallel flow, a helical mode disturbance is superseded by a mode which appears to be mostly a planar oscillation of higher frequency and amplification rate. Higher-order harmonics of dominant frequency components have been identified in these experiments. The far wake is the region in which nonlinear interactions appear to predominate. The experimental measurements and hydrogen bubble photographs indicate the presence of large scale transverse disturbances in this region, associated with roll-up of the fluid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 1 , 13 September 1978 , pp. 71 - 96
Copyright
© 1978 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, 529–551.
Chevray, R. 1968 J. Basic Engng, Trans. A.S.M.E. D 90, 275–284.
Curle, N. 1957 Proc. Roy. Soc. A 238, 489–501.
Freymuth, P. 1966 J. Fluid Mech. 25, 683–704.
Gaster, M. 1962 J. Fluid Mech. 14, 222–224.
Hama, F. R. 1963 Phys. Fluids 6, 526–534.
Hama, F. R. & Peterson, L. F. 1976 J. Fluid Mech. 76, 1–15.
Kendall, J. M. 1975 A.I.A.A. J. 13, 290–299.
Laufer, J. & Vrebalovich, T. 1960 J. Fluid Mech. 9, 257–299.
Lessen, M. & Singh, P. J. 1973 J. Fluid Mech. 60, 433–457.
Lin, C. C. 1944–1945 Parts 1, 2, 3 of Quart. Appl. Math. pp. 117–142, 218–314, 277–301.Google Scholar
Mack, L. M. 1969 Boundary-layer stability theory. JPL Rep. 900–277 Rev. A.Google Scholar
Mattingly, G. E. & Chang, C. C. 1974 J. Fluid Mech. 65, 541–560.
Mattingly, G. E. & Criminale, W. O. 1972 J. Fluid Mech. 51, 233–272.
Michalke, A. 1965 J. Fluid Mech. 23, 521–544.
Morris, P. J. 1976 J. Fluid Mech. 77, 511–529.
Peterson, L. F. 1975 Ph.D. thesis, Department of Aerospace and Mechanical Sciences, Princeton University.
Reynolds, A. J. 1962 J. Fluid Mech. 14, 552–556.
Rosenhead, L. 1963 Laminar Boundary Layers. Oxford University Press.
Sato, H. 1959 J. Fluid Mech. 7, 53–80.
Sato, H. & Kuriki, K. 1961 J. Fluid Mech. 11, 321–352.
Sato, H. & Okada, O. 1966 J. Fluid Mech. 26, 237–253.
Sato, H. & Saito, H. 1975 J. Fluid Mech. 67, 539–559.
Schubauer, G. B. & Skramstad, H. K. 1947 N.A.C.A. Rep. 909. (See also J. Res. Nat. Bur. Stand. 38, 257–292.)
Simmons, J. E. L. 1974 J. Fluid Mech. 64, 599–609.
Stegen, G. R. & Van atta, C. W. 1970 J. Fluid Mech. 42, 689–699.
Tatsumi, T. & Kakutani, K. 1958 J. Fluid Mech. 4, 261–275.
Viilu, A. 1962 J. Appl. Mech. 29, 506–509.