On the stability of a nonaxisymmetric charged jet of a viscous conducting liquid

Shiryaeva, S. O.; Григорьев, А. И.; Levchuk, T. V.; Rybakova, M. V.

doi:10.1134/1.1576462

Cited by 3 publications

(6 citation statements)

References 8 publications

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“…As this ratio grows, higher modes of instability may be excited with growth rates larger than that of the varicose mode. 20 As a result, more polydisperse droplets may form. The breakup of progeny droplets and formation of secondary progenies during the jet breakup in a ramified mode occurs because of the progeny surface electrocapillary instability.…”

Section: Resultsmentioning

confidence: 99%

“…Assuming that λ . r 0 , where r 0 is the jet radius, the dispersion equation for R can be written as 24,25…”

Section: Resultsmentioning

confidence: 99%

“…Depending on the electric to liquid surface stress ratio on the jet, different modes can be excited, which governs the formation of progenies. As this ratio grows, higher modes of instability may be excited with growth rates larger than that of the varicose mode . As a result, more polydisperse droplets may form.…”

Section: Resultsmentioning

confidence: 99%

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Controlled Production of Droplets by In-Flight Electrospraying

Kim

Dunn

2010

Langmuir

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Diameter, velocity, and charge measurements of progeny droplets produced in-flight by a millimeter-size parent drop subjected to electric and ionic fields are reported. Different drop breakup modes were studied using phase doppler anemometry and high-speed digital photography. Drop breakup occurred in applied electric (∼1 kV/cm to ∼10 kV/cm) and ionic (∼10(13)/m(3) to ∼10(15)/m(3)) fields that were generated using a DC-corona discharge in a needle-plate configuration. Effects of the external electric field and the diameter of the parent drop are considered. Several models are summarized, including simulations of the electrohydrodynamics of the corona discharge, electrocapillary stability analysis of the jet, and progeny droplets mobility analysis. Using experimental and model results, the charge of progeny drops is shown to vary as the three-halves power of their diameter.

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Section: Resultsmentioning

confidence: 99%

“…Assuming that λ . r 0 , where r 0 is the jet radius, the dispersion equation for R can be written as 24,25…”

Section: Resultsmentioning

confidence: 99%

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Controlled Production of Droplets by In-Flight Electrospraying

Kim

Dunn

2010

Langmuir

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“…Let us return to the real variables. Having separated the real part from the imaginary one in (12), we find: (14) The formulas (13) and ( 14) represent a family of exact two-parametric solutions for the equilibrium shape of a charged jet of a conducting liquid. To the best of our knowledge, these solutions for the jet configurations have not been considered so far.…”

Section: Exact Solutionsmentioning

confidence: 99%

“…Note that the critical densities Q n can be found from the linear analysis of the stability of the round jet surface (see, for example, Ref. [3,12]). In so doing it is not necessary to know the exact solutions for the stationary jet shape.…”

Section: Conditions Of the Jet Splittingmentioning

confidence: 99%

Exact solutions for equilibrium configurations of charged conducting liquid jets

Зубарев

Zubareva

2005

Phys. Rev. E

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A wide class of exact solutions is obtained for the problem of finding the equilibrium configurations of charged jets of a conducting liquid; these configurations correspond to the finite-amplitude azimuthal deformations of the surface of a round jet. A critical value of the linear electric charge density is determined, for which the jet surface becomes self-intersecting, and the jet splits into two. It exceeds the density value required for the excitation of the linear azimuthal instability of the round jet. Hence, there exists a range of linear charge density values, where our solutions may be stable with respect to small azimuthal perturbations.

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On the Critical Conditions for Realization of Instability of Azimuthal Modes of Conducting Liquid Jets Carrying Uniform and Nonuniform Induced Surface Charges and Their Electrodispersion

Григорьев

Shiryaeva²

2022

Colloid J

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On the stability of a nonaxisymmetric charged jet of a viscous conducting liquid

Cited by 3 publications

References 8 publications

Controlled Production of Droplets by In-Flight Electrospraying

Controlled Production of Droplets by In-Flight Electrospraying

Exact solutions for equilibrium configurations of charged conducting liquid jets

On the Critical Conditions for Realization of Instability of Azimuthal Modes of Conducting Liquid Jets Carrying Uniform and Nonuniform Induced Surface Charges and Their Electrodispersion

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