Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-29T04:10:00.913Z Has data issue: false hasContentIssue false

Oscillations in the near field of a heated two-dimensional jet

Published online by Cambridge University Press:  26 April 2006

Ming-Huei Yu
Affiliation:
Department of Mechanical, Aerospace and Nuclear Engineering, University of California, Los Angeles, CA 90024-1597, USA Current address: Mechanical Engineering Department, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424.
Peter A. Monkewitz
Affiliation:
Department of Mechanical, Aerospace and Nuclear Engineering, University of California, Los Angeles, CA 90024-1597, USA Current address: Department of Mechanics, ME-Ecublens, Federal Institute of Technology, CH-1015 Lausanne, Switzerland.

Abstract

A two-dimensional hot-air jet is investigated experimentally in the transitional regime. The density effect on the near-field behaviour of the initially laminar jet is explored by flow visualization, mean flow measurements and spectral analysis of fluctuating data. It is shown that the broadband amplitude spectra which characterize cold jets become line-dominated for hot jets when the ratio of the jet-exit to the ambient density is below approximately 0.9. Below this critical density ratio the oscillations in the hot jet are shown to be self-excited. That is, the onset of the global oscillations is identified as a Hopf bifurcation and the critical parameter is determined from amplitude spectra and autobicoherence, with the latter proving to be more reliable. Furthermore, the development of three-dimensional structures, which contribute to the jet spreading, is revealed by flow visualization. It is found that, for the parameters investigated, the spreading of the two-dimensional hot jet is not as spectacular as in the axisymmetry case.

Type
Research Article
Copyright
© 1993 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

Chomaz, J. M., Huerre, P. & Redekopp, L. G. 1991 A frequency selection criterion in spatially developing flows. Stud. Appl. Maths 84, 119144.Google Scholar
Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
Hannemann, K. & Oertel, H. 1989 Numerical simulation of the absolutely and convectively unstable wake. J. Fluid Mech. 199, 5588.Google Scholar
Ho, C. M. & Hsiao, F. B. 1982 Evolution of coherent structures in a lip jet. In Structure of Complex Turbulent Shear Layers (ed. R. Dumas & L. Fulachier), pp. 121136. Springer.
Ho, C. M. & Huerre, P. 1984 Perturbed free shear layers. Ann. Rev. Fluid Mech. 16, 365424.Google Scholar
Huerre, P. & Monkewitz, P. A. 1990 Local and global instabilities in spatially-developing flows. Ann. Rev. Fluid Mech. 22, 474537.Google Scholar
Kim, Y. C. & Powers, E. J. 1979 Digital bispectral analysis and its application to nonlinear wave interactions. IEEE Trans. Plasma Sci. PS-7, 120131.Google Scholar
Knisely, C. & Rockwell, D. 1982 Self-sustained low-frequency components in an impinging shear layer. J. Fluid Mech. 116, 157186.Google Scholar
Kyle, D. & Sreenivasan, K. R. 1989 Stability properties of He/air jets. In Forum on Chaotic Dynamics, ASME Fluids Engng Spring Conf. July 10–12, Le Jolla, CA.
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. Wiley.
Miksad, R. W., Jones, F. L., Kim, Y. C. & Khadra, L. 1982 Experiments on the role of amplitude and phase modulations during transition to turbulence. J. Fluid Mech. 123, 129.Google Scholar
Miksad, R., Jones, F. & Powers, E. 1983 Measurements of nonlinear interactions during natural transition of a symmetric wake. Phys. Fluids 26, 14021409.Google Scholar
Monkewitz, P. A., Bechert, D. W., Barsikow, B. & Lehmann, B. 1990 Self-excited oscillations and mixing in a heated round jet. J. Fluid Mech. 213, 611639.Google Scholar
Monkewitz, P. A. & Huerre, P. 1982 Influence of the velocity ratio on the spatial instability of mixing layers. Phys. Fluids 25, 11371143.Google Scholar
Monkewitz, P. A., Huerre, P. & Chomaz, J. M. 1993 Global linear stability analysis of weakly non-parallel shear flows. J. Fluid Mech. 251, 120.Google Scholar
Monkewitz, P. A., Lehmann, B., Barsikow, B. & Bechert, D. W. 1989 The spreading of self-excited hot jet by side jets. Phys. Fluids A 1, 446448.Google Scholar
Monkewitz, P. A. & Pfizenmaier, E. 1991 Mixing by ‘side jets’ in strongly forced and self-excited round jets. Phy. Fluids A 3, 13561361.Google Scholar
Monkewitz, P. A. & Sohn, K. D. 1986 Absolute instability in hot jets and their control. AIAA Paper. 86–1882
Monkewitz, P. A. & Sohn, K. D. 1988 Absolute instability in hot jets. AIAA J. 26, 911916.Google Scholar
Oppenheim, A. V. & Schafer, R. W. 1975 Digital Signal Processing. Prentice-Hall.
Pierrehumbert, R. T. & Widnall, S. E. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 5982.Google Scholar
Provansal, L., Mathis, C. & Boyer, L. 1987 Bénard–von Kármán instability: transient and forced regimes. J. Fluid Mech. 182, 122Google Scholar
Raghu, S. & Monkewitz, P. A. 1991 The bifurcation of a hot round jet to limit-cycle oscillations. Phys. Fluids A 3, 501503.Google Scholar
Sreenivasan, K. R., Raghu, S. & Kyle, D. 1989 Absolute instability in variable density round jets. Exps Fluids 7, 309317.Google Scholar
Widnall, S. E., Bliss, D. B. & Tsai, C.-Y. 1974 The instability of short waves on a vortex ring. J. Fluid Mech. 66, 3547.Google Scholar
Yu, M.-H. & Monkewitz, P. A. 1990 The effect of nonuniform density on the absolute instability of two-dimensional inertial jets and wakes. Phys. Fluids A 2, 11751181.Google Scholar