Abstract
The effect of acoustic excitation on the disintegration characteristics of air-assisted liquid sheets, which utilize water at ambient temperature, and for velocities up to 1.8 m/s, is investigated. The study using high-speed imaging techniques revealed that optimum frequency modulation of the perturbation generator has a pronounced influence on the associated surface waves and the subsequent breakup of the liquid sheet. The analysis includes characterization of critical wave amplitude, breakup length, and breakup frequency, for Weber numbers in the range 0.30<We abs<0.44, which are compared with flow features in the absence of acoustic excitation. The results show that acoustic perturbation can effectively suppress the dominance of gravitational and surface tension effects. As a consequence, for low Weber number flows, the interfacial waves exhibit regularity, and thus a better control of primary breakup processes of liquid sheet may be accomplished.
Similar content being viewed by others
Abbreviations
- f b :
-
breakup frequency of the liquid sheet
- f p :
-
acoustic excitation frequency
- L b :
-
breakup length of the liquid sheet
- p rms :
-
root-mean-square of pressure fluctuations
- p rms o :
-
root-mean-square of pressure fluctuations at the acoustic source
- Q a :
-
airflow rate at the nozzle outlet
- Q l :
-
liquid flow rate at the nozzle outlet
- t s :
-
initial liquid sheet thickness
- U a :
-
mean air velocity at the nozzle outlet
- U l :
-
liquid velocity at the nozzle outlet
- U n :
-
component of air velocity normal to the liquid sheet axis (U a sin 30°)
- U r :
-
relative velocity between air and liquid (U acos 30°−U l)
- We abs :
-
absolute Weber number [(We r 2+We n 2)0.5]
- We n :
-
Weber number based on normal air momentum (ρ a U n 2 t s/σ)
- We r :
-
relative Weber number (ρ a U r 2 t s/σ)
- ρ a :
-
density of air
- σ :
-
surface tension of water at 20°C
- η c :
-
critical wave amplitude
- Δθ :
-
phase difference
References
Chigier N (1981) Energy combustion and the environment. McGraw-Hill, New York
Chung IP, Presser C, Dressler JL (1998) Effect of piezoelectric transducer modulation on liquid sheet disintegration. Atomization Sprays 8:479–502
Crapper GD, Dombrowski N, Jepson WP, Pyott GA (1973) A note on the growth of Kelvin–Helmholtz waves on thin liquid sheets. J Fluid Mech 57:671–672
Crapper GD, Dombrowski N (1984) A note on the effect of forced disturbances on the stability of thin liquid sheets and on the resulting drop size. Int J Multiphase Flow 10:731–736
Dombrowski N, Fraser RP (1954) A photographic investigation into the disintegration of liquid sheets. Philos Trans R Soc London A 247:101–130
Dombrowski N, Johns WR (1963) The aerodynamic instability and disintegration of viscous liquid sheets. Chem Eng Sci 18:203–214
Fahy FJ (1995) Sound intensity, 2nd edn. Chapman and Hall, London
Fernandes EC, Heitor MV (1997) Simultaneous measurements of velocity, pressure, temperature and heat release in an oscillating flame. In: Ninetieth Symposium of Propulsion and Energetics on the Advanced Non-intrusive Instrumentation for Propulsion Engines, AGARD, Brussels, 20–24 October 1997
Hagerty W, Shea JF (1955) A study of stability of plane fluid sheets. J Appl Mech 22:509–514
Kinsler LE, Frey AR, Coppens AB, Sanders JV (1982) Fundamentals of acoustics, 3rd edn. Wiley, New York
Lefebvre AH (1989) Atomization and sprays. Hemisphere, New York, pp 201–267
Lozano A, Barreras F (2001) Experimental study of the gas flow in an air-blasted liquid sheet. Exp Fluids 31:367–376
Mansour A, Chigier N (1990) Disintegration of liquid sheets. Phys Fluids A 2:706–719
Mansour A, Chigier N (1991) Dynamic behavior of liquid sheets. Phys Fluids A 3:2971–2980
McCarthy MJ, Molloy NA (1974) Review of stability of liquid jets and the influence of nozzle design. Chem Eng J 7:1–20
Santos D (1998) Liquid film disintegration. (In Portuguese.) MSc thesis, Technical University of Lisbon
Sivadas V, Heitor MV (2003) Surface waves of air-assisted liquid sheets. Atomization Sprays (in press)
Yakubenko PA (1997) Global capillary instability of an inclined jet. J Fluid Mech 346:181–200
Zhao FQ, Lai MC, Amer AA, Dressler JL (1996) Atomization characteristics of pressure modulated automotive port injector sprays. Atomization Sprays 6:461–483
Acknowledgements
The authors acknowledge financial support from the Portuguese Science and Technology Foundation, project 34586/99, and the EC funded project DIME, "Direct Injection Spray Engine Processes—Mechanisms to Improve Performance", DIME ENK6-2000-00101. V. Sivadas is a post-doctoral research fellow at IST under the sponsorship of the Portuguese Science and Technology Foundation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sivadas, V., Fernandes, E.C. & Heitor, M.V. Acoustically excited air-assisted liquid sheets. Exp Fluids 34, 736–743 (2003). https://doi.org/10.1007/s00348-003-0618-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-003-0618-9