Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-23T07:20:22.567Z Has data issue: false hasContentIssue false
  • English
  • Français

Experimental investigation of nonlinear instabilities in annular liquid sheets

Published online by Cambridge University Press:  10 January 2012

D. Duke ,
D. Honnery  and
J. Soria
D. Duke*
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3800, Australia
D. Honnery
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3800, Australia
J. Soria
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3800, Australia
*
†Email address for correspondence: daniel.duke@monash.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The aerodynamically driven annular liquid sheet exhibits a complex nonlinear instability. Novel interfacial velocimetry experiments suggest that two distinct physical sources of instability may be present. The first is the well-known free shear layer instability, which is quasi-sinusoidal and nonlinear. The second is a distinct nonlinear rupturing instability, modulated on the previous one. It may be directly driving primary atomization. This instability has not been previously observed in isolation and is inherently nonlinear and non-sinusoidal. Novel application of Koopman analysis and the Hilbert transform permit investigation of these distinct instabilities. A greater understanding of the rupturing instability may lead to a better understanding of atomization phenomena.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Instability: Nonlinear instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 691 , 25 January 2012 , pp. 594 - 604
Copyright
Copyright © Cambridge University Press 2012

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

1. Adzic, M., Carvalho, I. & Heitoyr, M. V. 2001 Visualization of the disintegration of an annular liquid sheet in a coaxial airblast injector at low atomising air velocities. Opt. Diagnost. Engng 5 (1), 27–38.Google Scholar
2. Balachandar, S. & Eaton, J. K. 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42 (1), 111–133.CrossRefGoogle Scholar
3. Barlow, N. S., Helenbrook, B. T. & Lin, S. P. 2010 Transience to instability in a liquid sheet. J. Fluid Mech. 666, 358–390.CrossRefGoogle Scholar
4. Duke, D., Honnery, D. & Soria, J. 2010 A cross-correlation velocimetry technique for breakup of an annular liquid sheet. Exp. Fluids 49, 435–445.CrossRefGoogle Scholar
5. Duke, D. J., Honnery, D. & Soria, J. 2011a A comparison of subpixel edge detection and correlation algorithms for the measurement of sprays. Intl J. Spray Comb. Dyn. 3 (2), 93–110.CrossRefGoogle Scholar
6. Duke, D., Soria, J. & Honnery, D. 2011 b An error analysis of the dynamic mode decomposition. Exp. Fluids, doi:10.1007/s00348-011-1235-7.CrossRefGoogle Scholar
7. Eggers, J. & Villermaux, E. 2008 Physics of liquid jets. Rep. Prog. Phys. 71 (3), 036601.CrossRefGoogle Scholar
8. Huang, N. E., Shen, Z., Long, S. & Wu, M. 1996 The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903–995.CrossRefGoogle Scholar
9. Ibrahim, A. & Jog, M. 2008 Nonlinear instability of an annular liquid sheet exposed to gas flow. Int. J. Multiphase Flow 34 (7), 647–664.CrossRefGoogle Scholar
10. Jazayeri, S. & Li, X. 2000 Nonlinear instability of plane liquid sheets. J. Fluid Mech. 406, 281–308.CrossRefGoogle Scholar
11. Kawano, S., Hashimoto, H., Togari, H. & Ihara, A. 1997 Deformation and breakup of an annular liquid sheet in a gas stream. Atomiz. Sprays 7, 359–374.CrossRefGoogle Scholar
12. Kendall, J. 1986 Experiments on annular liquid jet instability and on the formation of liquid shells. Phys. Fluids 29 (7), 2086–2094.CrossRefGoogle Scholar
13. Kim, I. & Sirignano, W. 2000 Three-dimensional wave distortion and disintegration of thin planar liquid sheets. J. Fluid Mech. 410, 147–183.CrossRefGoogle Scholar
14. Li, X. & Shen, J. 1999 Experimental study of sprays from annular liquid jet breakup. J. Propul. Power 15 (1), 103–110.CrossRefGoogle Scholar
15. Li, X. & Shen, J. 2001 Experiments on annular liquid jet breakup. Atomiz. Sprays 11, 557–573.Google Scholar
16. Lin, S. P. 2003 Breakup of Liquid Sheets and Jets. Cambridge University Press.CrossRefGoogle Scholar
17. Lin, S. P. & Reitz, R. 1998 Drop and spray formation from a liquid jet. Annu. Rev. Fluid Mech. 30, 85–105.CrossRefGoogle Scholar
18. Lozano, A., Barreras, F., Hauke, G. & Dopazo, C. 2001 Longitudinal instabilities in an air-blasted liquid sheet. J. Fluid Mech. 437, 143–173.CrossRefGoogle Scholar
19. Marmottant, P. & Villermaux, E. 2004 On spray formation. J. Fluid Mech. 498, 73–111.CrossRefGoogle Scholar
20. Rowley, C., Mezić, I. & Bagheri, S. 2009 Spectral analysis of nonlinear flows. J. Fluid Mech. 641, 115–127.CrossRefGoogle Scholar
21. Schmid, P. J. 2010 Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech. 656, 5–28.CrossRefGoogle Scholar
22. Schmid, P. J. 2011 Application of the dynamic mode decomposition to experimental data. Exp. Fluids 50 (4), 1123–1130.CrossRefGoogle Scholar
23. Wahono, S., Honnery, D., Soria, J. & Ghojel, J. 2008 High-speed visualisation of primary break-up of an annular liquid sheet. Exp. Fluids 44 (3), 451–459.CrossRefGoogle Scholar