Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-18T22:19:43.984Z Has data issue: false hasContentIssue false
  • English
  • Français

On the preferred mode of jet instability

Published online by Cambridge University Press:  21 April 2006

R. A. Petersen  and
M. M. Samet
R. A. Petersen
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USA
M. M. Samet
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The preferred mode of instability was investigated in an axisymmetric air jet of moderate Reynolds number. Natural instabilities are shown to scale with local shear-layer thickness and the preferred mode is shown to be a shear-layer instability. The spatial evolution of the preferred mode was examined by exciting the flow acoustically and then mapping the phase-locked velocity fluctuations. Throughout the potential core region the phase-locked profiles are shown to agree with the eigensolutions of the Orr—Sommerfeld stability equations provided the calculations are based on measured, mean velocity profiles. The excitation intensity was varied from low levels, where the flow was merely tagged, to high levels where the mean flow was substantially distorted, and over that range of excitation there was no apparent deterioration in the agreement with stability predictions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 194 , September 1988 , pp. 153 - 173
Copyright
© 1988 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

Batohelor, G. K. & Gill, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529–551.Google Scholar
Bellman, R. E. & Kalaba, R. E. 1965 Quasi-linearization and Non-linear Boundary-value Problems. Elsevier.
Chan, Y. Y. 1977 Wavelike eddies in a turbulent jet. AIAA J. 15, 992–1001.Google Scholar
Cohen, J. & Wygnanski, I. 1987 The evolution of instabilities in the axisymmetric jet. J. Fluid Mech. 176, 191–235.Google Scholar
Crighton, D. G. & Gaster, M. 1976 Stability of slowly diverging jet flow. J. Fluid Mech. 77, 397–413.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547–591.Google Scholar
Dimotakis, P. E., Lye, R. C. & Papantoniou, D. Z. 1983 Structure and dynamics of round turbulent jets. Phys. Fluids 26, 3185–3192.Google Scholar
Drubka, R. F. 1981 Instabilities in the near field of turbulent jets and their dependence on initial conditions and Reynolds number. Ph.D. Dissertation, Illinois Institute of Technology, Chicago.
Gaster, M., Kit, E. & Wygsanski, I. 1985 Large-scale structures in a forced turbulent mixing layer. J. Fluid Mech. 150, 23–39.Google Scholar
Gutmark, E. & Ho, C. M. 1983 On the preferred modes and the spreading rates of jets. Phys. Fluids 26, 2932–2938.Google Scholar
Ho, C. M. & Hsiao, F. B. 1983 Evolution of coherent structures in a lip jet. In Structure of Complex Turbulent Shear Layers (ed. R. Dumas & L. Fulachier), pp. 121–136. Springer.
Hussain, A. K. M. F. & Reynolds, W. C. 1970 The mechanics of an organized wave in turbulent shear flow. J. Fluid Mech. 41, 241–258.Google Scholar
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1981 The ‘preferred mode’ of the axisymmetric jet. J. Fluid Mech. 110, 39–71.Google Scholar
Kibens, V. 1981 The limit of initial shear layer influence on jet development AIAA Paper 81–1960.
Lessen, M., Sadler, S. G. & Liu, T. Y. 1968 Stability of pipe Poiseuille flow. Phys. Fluids 11, 1404–1408.Google Scholar
Lessen, M. & Singh, P. J. 1973 The stability of axisymmetric free shear layers. J. Fluid Mech. 60, 433–457.Google Scholar
Michalke, A. 1971 Instabilität eines Kompressiblen runden Freistrahls unter Berücksichtigung des Einflusses der Strahlgrenzschichtdicke. Z. Flugwiss. 19, 319–328.Google Scholar
Michalke, A. & Hermann, G. 1982 On the inviscid instability of a circular jet with external flow. J. Fluid Mech. 114, 343–359.Google Scholar
Mollo-Christensen, E. 1967 Jet noise and shear flow instability seen from an experimenter's viewpoint. Trans. ASME E: J. Appl. Mech. 34, 1–7.Google Scholar
Morris, P. J. 1976 The spatial viscous instability of axisymmetric jets. J. Fluid Mech. 77, 511–529.Google Scholar
Petersen, R. A. 1978 Influence of wave dispersion on vortex pairing in a jet. J. Fluid Mech. 89, 469–495.Google Scholar
Plashko, P. 1979 Helical instabilities of slowly divergent jets. J. Fluid Mech. 92, 209–215.Google Scholar
Schubauer, G. B. & Skramstad, H. K. 1947 Laminar boundary-layer oscillations and transition on a flat plate. J. Aero. Sci. 14, 69–78.Google Scholar
Tam, C. K. W. & Morris, P. J. 1985 Tone excited jets. part V: a theoretical model and comparison with experiment. J. Sound Vib. 102, 119–151.Google Scholar
Wygnanski, I., Marasli, B. & Champagne, F. H. 1987 On the weakly nonlinear stability model applied to a diverging small-deficit wake. AIAA Paper 87–1465.
Wygnanski, I. & Petersen, R. A. 1987 Coherent motion in excited free shear flows. AIAA J. 25, 201–213.Google Scholar
Yule, A. J. 1978 Large-scale structure in the mixing layer of a round jet. J. Fluid Mech. 89, 413–432.Google Scholar