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Acoustically excited air-assisted liquid sheets

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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.

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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

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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.

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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

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