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Transition from dripping to jetting
Abstract
We consider the critical Weber number (Wec≡ ρ V20D/σ) at which the transition from dripping to jetting occurs when a Newtonian liquid of density ρ and surface tension σ is injected with a velocity V0 through a tube of diameter D downward into stagnant air, under gravity g. We extend Taylor's (1959) model for the recession speed of a free edge, and obtain in the inviscid limit an exact solution which includes gravity and inertia effects. This solution provides a criterion for the transition which is shown to occur at a critical Weber number formula here where Bo and Boo are the Bond numbers (Bo≡[ρg D2/(2σ)]1/2), respectively based on the inside and outside diameter of the tube, and K is a constant equal to 0.37 for the case of water injected in air. This critical Weber number is shown to be in good agreement with existing experimental values as well as with new measurements performed over a wide range of Bond numbers.
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Citations
Cited by
Dripping to Jetting Transitions in Coflowing Liquid Streams
Utada, A. S., Fernandez-Nieves, A., Stone, H. A., & Weitz, D. A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.094502 · Cited by 965
Drop formation in a co-flowing ambient fluid
Cramer, C., Fischer, P., & Windhab, E. J. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.04.006 · Cited by 538
Micro- and nanoparticles via capillary flows
Barrero, A., & Loscertales, I. G. (2007) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.39.050905.110245 · Cited by 219
Wet mammals shake at tuned frequencies to dry
Dickerson, A. K., Mills, Z. G., & Hu, D. L. (2012) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0429 · Cited by 81
Metadata
- Authors
- CLANET, C., & LASHERAS, J. C.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1999-03-25
- Volume
- 383
- Pages
- 307-326
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2143453560
- Cited by
- 381
- References
- 0
- FWCI
- 1.90
- Type
- journal article
- Language
- en
- Open access
- closed
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- CLANET, C., & LASHERAS, J. C. (1999). Transition from dripping to jetting. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112098004066
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