Abstract
In this article the emphasis was given to the discussion of the effects of diameter ratio and swirling on instability character for the gas/liquid coaxial jet used by Liao, et al.[1]. The results indicate that the finite diameter ratio markedly increases the maximum growth rate, the most unstable wavenumber, as well as the cutoff wavenumber. It implies that the finite diameter ratio will lead to the liquid jet breakup length shorter and the liquid drop size smaller. The effect of the swirling jets is much more complex: for the axisymmetric perturbation mode, the swirling enhances the flow stability, for helical perturbation, the dominant instability mode occurs at n<0. And it is found that in long wave region there exists a new kind of instability modes at n=1 that was not mentioned in Liao et al.’s article. For this new mode, there appears a dominated swirling ratio at which the flow has the maximum growth rate.
Similar content being viewed by others
References
LIAO Y., JENG S. M. and JOG M. A. et al. The effect of air swirl profile on the instability of a viscous liquid jet [J]. J. Fluid Mech., 2000, 424: 1–20.
SEVILLA A., GORDILLO J. M. and MARTÍNEZ-BAZÁN C. The effect of the diameter ratio on the absolute and convective instability of free co-flowing jets [J]. Phys. Fluids, 2002, 14(9): 3028–3038.
LASHEERAS J. C., HOPFINGER E. J. Liquid jet instability and atomization in a coaxial gas stream [J]. Annu. Rev. Fluid Mech., 2000, 32: 275–308.
LIM D. W., REDEKOPP L. G. Absolute instability conditions for variable density, swirling jet flows [J]. Eur. J. Mech. B/Fluids, 1998, 17(2): 165–185.
LASHERAS J. C., VILLERMAUX E. and HOPFINGER E. J. Break-up and atomization of a round water jet by a high-speed annular air jet [J]. J. Fluid Mech., 1998, 357: 351–379.
LOISELEUX Thomas, DELBENDE Ivan and HUERRE Patrick. Absolute and convective instabilities of a swirling jet/wake shear layer [J]. Phys. Fluids, 2000, 12(2): 375–380.
LIN S. P. and KANG D. J. Atomization of a liquid jet [J]. Phys. Fluids, 1987, 30(7): 2000–2006.
GORDILLO J. M., PÉREZ-SABORID M. and GAÑÁN-CALVO A. M. Linear stability of co-flowing liquid-gas jets [J]. J. Fluid Mech., 2001, 448: 23–51.
GALLAIRE Francois, CHOMAZ Jean-Marc. Mode selection in swirling jet experiments: a linear stability analysis [J]. J. Fluid Mech., 2003, 494:223–253.
TIAN Zhong, XU Wei-lin and WANG Wei et al. Scale effect of impinging pressure caused by submerged jet [J]. Journal of Hydrodynamics, Ser. B, 2005, 17(4): 478–482.
ZENG Yu-hong. Stability and mixing character for buoyant jets in quiescent shallow water [J]. Journal ofHydrodynamics, Ser. B, 2005, 17(6): 776.
LIN Shang-jin, WEI Gang and LIU Li-long et al. An experimental study on effects of the beta topography on surface flows in a rotating annulus subject to radial temperature gradient [J]. Journal of Hydrodynamics, Ser. B, 2005, 17(5): 558–563.
MARMOTTANT P., VILLERMAUX E. On spray formation [J]. J. Fluid Mech., 2004, 498: 73–111.
CHEN Fa-Lin, TSAUR Jie-Ying and DURST Franz et al. On the axisymmetry of annular jet instabilities [J]. J. Fluid Mech., 2003, 488: 355–367.
YIN Xie-Yuan, SUN De-Jun. Vortex stability[M]. Beijing: National Defense Industry Press, 2003 (in Chinese).
CHANDRASEKHAR S. Hydrodynamic and hydromagnetic stability[M]. Oxford, England: Oxford University Press, 1961.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Grant No. 10172082).
Biography: LIU Kun(1979-),Male, Ph. D. Candidate
Rights and permissions
About this article
Cite this article
Liu, K., Sun, Dj. & Yin, Xy. Instability of Gas/Liquid Coaxial Jet. J Hydrodyn 19, 542–550 (2007). https://doi.org/10.1016/S1001-6058(07)60151-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1001-6058(07)60151-6