Nonlinear development of capillary waves in a viscous liquid jet

Chesnokov, Yu. G.

doi:10.1134/1.1307006

Cited by 4 publications

(2 citation statements)

References 25 publications

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“…For brevity, the subscript 0 fromũ ξ ,ũ η ,p andh is also dropped. It is worth noting that an asymptotic approach similar to the one used here is already known in the case of straight jets, where Bechtel et al (1995) considered the O ǫ 2 approximation of the full Navier-Stokes problem which was then used by Chesnokov (2000) for the secondary expansion with regard to a small amplitude δ.…”

Section: Close To the Inlet: Small-amplitude Disturbancesmentioning

confidence: 99%

“…The frequencies corresponding to the fastest growing disturbances, and the amplitude of the latter, are analyzed in the framework of the linear theory by considering the standing wave (Frankel & Weihs 1985) in essence following Rayleigh's approach. Nonlinear approximations of the full Navier-Stokes problem for a straight jet were used in (Chesnokov 2000) to model the jet disintegration in the case of space-periodic solutions and in (Cheong & Howes 2004;van Hoeve et al 2010) to simulate the spatiotemporal evolution.…”

Section: Introductionmentioning

confidence: 99%

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On the breakup of spiralling liquid jets

Sisoev²,

Shikhmurzaev

2019

J. Fluid Mech.

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The generation of drops from a jet spiralling out of a spinning device, under the action of centrifugal force, is considered for the case of small perturbations introduced at the inlet. Close to the inlet, where the disturbances can be regarded as small, their propagation is found to be qualitatively similar to that of a wave propagating down a straight jet stretched by an external body force (e.g. gravity). The dispersion equation has the same parametric dependence on the base flow, but the base flow is, of course, different. Further down the jet, where the amplitude of the disturbances becomes finite and eventually resulting in drop formation, the flow appears to be quite complex. As shown, for the regular/periodic process of drop generation, the wavelength corresponding to the frequency at the inlet, increasing as the wave propagates down the stretching jet, determines, in general, not the volume of the resulting drop but the sum of volumes of the main drop and the satellite droplet that follows the main one. The proportion of the total volume forming the main drop depends on how far down the jet the drops are produced, i.e. on the magnitude of the inlet disturbance. The volume of the main drop is found to be a linear function of the radius of the unperturbed jet evaluated at the point where the drop breaks away from the jet. This radius, and the corresponding velocity of the base flow, have to be found simultaneously with the jet’s trajectory by using a jet-specific non-orthogonal coordinate system described in detail in Shikhmurzaev & Sisoev (J. Fluid Mech., vol. 819, 2017, pp. 352–400). Some characteristic features of the nonlinear dynamics of the drop formation are discussed.

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Section: Close To the Inlet: Small-amplitude Disturbancesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the breakup of spiralling liquid jets

Sisoev²,

Shikhmurzaev

2019

J. Fluid Mech.

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Effect of drainage device on the transition of dripping and jetting modes

2023

Physics of Fluids

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The formation of droplets is a part of many practical engineering problems. Satellite droplets are harmful in the production of traditional Chinese medicines, ink-jet printing, and electronic packaging. It is necessary to investigate the methods to eliminate the satellite droplets. A drainage device was added to the dropper to suppress the formation of satellite droplets. This paper investigated the effects of liquid physical parameters and drainage devices on the fracture length of the neckline and the main-droplet diameter. The effect of the diversion device on the ligament was analyzed using the scaling theories of the Pinch-Off. The effect of the drainage device on the transition of the fluid from the dripping mode to the jetting mode was also investigated. After adding the drainage device, the fracture length of the neckline, the main-droplet diameter, and the number of satellite droplets are significantly reduced. The fracture length of the neckline and the main-droplet diameter decreased with the increase in the length and diameter of the drainage, but the fracture length increased with the increase in liquid depth. With the rise of glycerin mass fraction, the fracture length of the neckline increases, whereas the main-droplet diameter decreases.

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Impact of a hydroabrasive jet on material: Hydroabrasive wear

Штерцер

Grinberg

2013

J Appl Mech Tech Phy

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Nonlinear development of capillary waves in a viscous liquid jet

Cited by 4 publications

References 25 publications

On the breakup of spiralling liquid jets

On the breakup of spiralling liquid jets

Effect of drainage device on the transition of dripping and jetting modes

Impact of a hydroabrasive jet on material: Hydroabrasive wear

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