Hydrodynamic Stability of a Periodically Unsteady Swirling Jet
Publication: Journal of Engineering Mechanics
Volume 135, Issue 9
Abstract
The stability characteristics of a jet with a low-frequency time-dependent periodic swirl are determined. An analytical dispersion relation for the perturbations is obtained and solved numerically. Growth rates and celerities determined from this formulation are compared with predictions based on applying steady state analysis to instantaneous velocity profiles, i.e., the quasisteady approach. The results show that periodic unsteadiness in the swirl causes variations in the growth rates and celerities of the unstable modes. Furthermore, it is shown that the quasisteady approach is not applicable and fails to predict the magnitudes of these variations.
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References
Batchelor, G., and Gill, A. (1962). “Analysis of the stability of axisymmetric jets.” J. Fluid Mech., 14, 529–551.
Billant, P., Chomaz, J., and Huerre, P. (1998). “Experimental study of vortex breakdown in swirling jets.” J. Fluid Mech., 376, 183–219.
Carrara, M., and Hajj, M. R. (2003). “Stability of a periodically unsteady axisymmetric jet.” J. Eng. Mech., 129, 578–580.
Coleman, C. (1989). “The stability of swirling jets.” Publ. - Astron. Soc. Aust., 8, 38–40.
Coleman, C. (1990). “Kelvin-Helmholtz instabilities in swirling jets.” Geophys. J. R. Astron. Soc., 244, 35–42.
Gupta, A. K., Lilley, D. G., and Syred, N. (1984). Swirl flows, Abacus, Tunbridge Wells, U.K.
Hajj, M. (1997). “Stability characteristics of a periodically unsteady mixing layer.” Phys. Fluids, 9, 392–398.
Loiseleux, T., Chomaz, J., and Huerre, P. (1998). “The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow.” Phys. Fluids, 10(5), 1120–1134.
Michalke, A. (1984). “Survey on jet instability theory.” Prog. Aerosp. Sci., 21, 159–199.
Shen, S. F. (1961). “Some considerations on the laminar stability of time dependent basic flows.” J. Aerosp. Sci., 28, 397–404.
Shtern, V., Goldshtik, M., and Hussain, F. (1994). “Generation of swirl due to symmetry breaking.” Phys. Rev. E, 49(4), 2881–2886.
Shtern, V., and Hussain, F. (1993). “Hysteresis in a swirling jet as a model tornado.” Phys. Fluids A, 5, 2183–2195.
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© 2009 ASCE.
History
Received: Jun 20, 2008
Accepted: Jan 15, 2009
Published online: Mar 6, 2009
Published in print: Sep 2009
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