Nonlinear viscous liquid jets from a rotating orifice

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Nonlinear viscous liquid jets from a rotating orifice. / Parau, I; Decent, Stephen; Simmons, Mark; Wong, David; King, AC.

In: Journal of Engineering Mathematics, Vol. 57, 27.01.2007, p. 159--179.

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@article{adc23a8dd23e461ab6c6fccccd20e27a,
title = "Nonlinear viscous liquid jets from a rotating orifice",
abstract = "A liquid jet follows a curved trajectory when the orifice from which the jet emerges is rotating. Surface-tension-driven instabilities cause the jet to lose coherence and break to form droplets. The sizes of the drops formed from such jets are in general not uniform, ranging from drops with diameters of the order of the jet diameter to droplets with diameters which are several orders of magnitude smaller. This presentation details a theoretical investigation of the effects of changing operating parameters on the break-up of curved liquid jets in stagnant air at room temperature and pressure. The Navier-Stokes equations are solved in this system with the usual viscous free-surface boundary conditions, using an asymptotic method based upon a slender-jet assumption, which is clearly appropriate from experimental observations of the jet. Nonlinear temporal simulations of the break-up of the liquid jets using slender theory are also presented. These simulations based upon both a steady-trajectory assumption, and the more general equations which allow for an unsteady trajectory, show all the break-up modes viewed in experiments. Satellite-droplet formation is also considered.",
keywords = "viscosity, unsteady, rotation, jet",
author = "I Parau and Stephen Decent and Mark Simmons and David Wong and AC King",
year = "2007",
month = jan,
day = "27",
doi = "10.1007/s10665-006-9118-2",
language = "English",
volume = "57",
pages = "159----179",
journal = "Journal of Engineering Mathematics",
issn = "0022-0833",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - Nonlinear viscous liquid jets from a rotating orifice

AU - Parau, I

AU - Decent, Stephen

AU - Simmons, Mark

AU - Wong, David

AU - King, AC

PY - 2007/1/27

Y1 - 2007/1/27

N2 - A liquid jet follows a curved trajectory when the orifice from which the jet emerges is rotating. Surface-tension-driven instabilities cause the jet to lose coherence and break to form droplets. The sizes of the drops formed from such jets are in general not uniform, ranging from drops with diameters of the order of the jet diameter to droplets with diameters which are several orders of magnitude smaller. This presentation details a theoretical investigation of the effects of changing operating parameters on the break-up of curved liquid jets in stagnant air at room temperature and pressure. The Navier-Stokes equations are solved in this system with the usual viscous free-surface boundary conditions, using an asymptotic method based upon a slender-jet assumption, which is clearly appropriate from experimental observations of the jet. Nonlinear temporal simulations of the break-up of the liquid jets using slender theory are also presented. These simulations based upon both a steady-trajectory assumption, and the more general equations which allow for an unsteady trajectory, show all the break-up modes viewed in experiments. Satellite-droplet formation is also considered.

AB - A liquid jet follows a curved trajectory when the orifice from which the jet emerges is rotating. Surface-tension-driven instabilities cause the jet to lose coherence and break to form droplets. The sizes of the drops formed from such jets are in general not uniform, ranging from drops with diameters of the order of the jet diameter to droplets with diameters which are several orders of magnitude smaller. This presentation details a theoretical investigation of the effects of changing operating parameters on the break-up of curved liquid jets in stagnant air at room temperature and pressure. The Navier-Stokes equations are solved in this system with the usual viscous free-surface boundary conditions, using an asymptotic method based upon a slender-jet assumption, which is clearly appropriate from experimental observations of the jet. Nonlinear temporal simulations of the break-up of the liquid jets using slender theory are also presented. These simulations based upon both a steady-trajectory assumption, and the more general equations which allow for an unsteady trajectory, show all the break-up modes viewed in experiments. Satellite-droplet formation is also considered.

KW - viscosity

KW - unsteady

KW - rotation

KW - jet

U2 - 10.1007/s10665-006-9118-2

DO - 10.1007/s10665-006-9118-2

M3 - Article

VL - 57

SP - 159

EP - 179

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

ER -