Abstract
In the present work, experiments have been performed to study the influence of the sheet thickness on the oscillatory movement of an air-blasted liquid sheet, based on measurements of oscillation frequencies and wavelengths. To measure the wavelengths, a novel double-beam diffraction technique has been implemented. It has been determined that the sheet oscillation frequency depends on the inverse of the square root of the sheet thickness, while the wavelength increases linearly as sheet thickness is increased. Based on these dependencies, suitable non-dimensional groups are proposed to describe the problem. Wave propagation velocities have also been calculated and discussed.
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Abbreviations
- c :
-
Wave propagation velocity (m/s)
- d :
-
Channel width (mm)
- f :
-
Sheet oscillation frequency (Hz)
- k :
-
Numerical constant
- MR :
-
Momentum ratio
- Re :
-
Reynolds number
- St :
-
Strouhal number
- U :
-
Velocity (m/s)
- λ :
-
Sheet oscillation wavelength (mm)
- ρ :
-
Density (kg/m3)
- σ :
-
Surface tension coefficient (N/m)
- a:
-
Air
- l:
-
Liquid
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Acknowledgements
This work has been partially supported by the Spanish Research and Technology Ministry under the projects DPI2002-04550-C07-07 and ENE2004-05118/CON. C.S. gratefully acknowledges the funding from the Regional Government of Aragón.
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Lozano, A., Barreras, F., Siegler, C. et al. The effects of sheet thickness on the oscillation of an air-blasted liquid sheet. Exp Fluids 39, 127–139 (2005). https://doi.org/10.1007/s00348-005-0989-1
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DOI: https://doi.org/10.1007/s00348-005-0989-1