Convective and absolute instability of a viscous liquid jet

Leib, S. J.; Goldstein, M. E.

doi:10.1063/1.866000

Cited by 140 publications

(109 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1b). In a similar way the absolute/convective (A/C) boundary separates the regimes of droplet formation in a viscous liquid jet 19,20 , e.g. droplet formation at the nozzle exit or downstream jet breakup, both owing to Plateau-Rayleigh instability.…”

Section: Introductionmentioning

confidence: 99%

Critical inclination for absolute/convective instability transition in inverted falling films

2016

View full text Add to dashboard Cite

1Critical inclination for A/C transition in inverted falling films Liquid films flowing down the underside of inclined plates are subject to the interaction between the hydrodynamic and the Rayleigh-Taylor (R-T) instabilities causing a patterned and wavy topology at the free surface. The R-T instability results from the denser liquid film being located above a less dense ambient gas, and deforming into an array of droplets, which eventually drip if no saturation mechanism arises. Such saturation mechanism can actually be provided by a fluid motion along the inclined plate. Using a weighted integral boundary layer model, this study examines the critical inclination angle, measured from the vertical, that separates regimes of absolute and convective instability. If the instability is of absolute type, growing perturbations stay localized in space potentially leading to dripping. If the instability is of convective type, growing perturbations move downwards the inclined plate, forming waves and eventually, but not necessarily, droplets. Remarkably, there is a minimum value of the critical angle below which a regime of absolute instability cannot exist. This minimum angle decreases with viscosity : it is about 85• for water, about 70• for silicon oil, and reaches a limiting value for liquid with a viscosity larger than about 1000 times the one of water. It results that for any fluid, absolute dripping can only exist for inclination angle (taken from the vertical) larger than 57.4• .

show abstract

Section: Introductionmentioning

confidence: 99%

Critical inclination for absolute/convective instability transition in inverted falling films

2016

View full text Add to dashboard Cite

show abstract

“…There are many theoretical investigations on the jet stability analysis using linear stability theory, mostly for circular jets, providing satisfactory results on mapping the instability diagram [14,19]. The same approach will be employed for a thin, two-dimensional film jet.…”

Section: Theoretical Part Of Researchmentioning

confidence: 99%

“…Figure 6 shows that in the region where , one has a convective instability and where , one has an absolute instability. is the critical Weber number and is expressed as a function of Reynolds number [19,20]. Also in this figure, the indicates that the liquid flow in the nozzle remains laminar at the exit of the nozzle, spouting out smoothly without any internal disturbances forming the jet with constant shape, whereas the region of is where the liquid in the nozzle reaches turbulent and the liquid jet at the exit of the nozzle is expected to be wavy, shortening the intact length, which is not suitable for stripper operation.…”

Section: Detailed Technical Issues and Tasksmentioning

confidence: 99%

See 1 more Smart Citation

Research proposal for development of an electron stripper using a thin liquid lithium film for rare isotope accelerator.

Momozaki¹

2006

View full text Add to dashboard Cite

“…Our parametrical working limits are given by (a) the transition from an axisymmetric to an asymmetric jet breakup (We ≤ 20) [7], and by (b) the transition from jetting to dripping [9,10]. The latter was theoretically considered by Leib and Goldstein (1986), who gave the value of a critical jet Weber number as a function of the Reynolds number Re. Their critical Weber number We LG * is related to ours, We*, by the expression We…”

Section: Introductionmentioning

confidence: 99%

Massive, Generic, and Controlled Microencapsulation by Flow Focusing: Some Physicochemical Aspects and New Applications

et al. 2015

View full text Add to dashboard Cite

Massive, nearly monodisperse, true microencapsulation of a wide variety of active ingredients within biocompatible shells can be achieved using flow focusing at moderate-high Reynolds numbers, a paradigmatic tool for highly controlled flow chemistry processes whose flexibility and physical aspects are briefly illustrated here. We show that the natural, regular capillary breakup of a laminar high-speed microjet produced by gentle mechanical means alone allows the production of true microcapsules with controlled dimensions. The process versatility is shown in a variety of examples including encapsulation of different materials as proteins and/or microorganisms in biocompatible polymers as poly-L-glutamic acid (PLGA). Microcapsules produced show nearly homogeneous size, well-centered core, and their size and structure are well predicted by simple theoretical models.

show abstract

Convective and absolute instability of a viscous liquid jet

Cited by 140 publications

References 2 publications

Critical inclination for absolute/convective instability transition in inverted falling films

Critical inclination for absolute/convective instability transition in inverted falling films

Research proposal for development of an electron stripper using a thin liquid lithium film for rare isotope accelerator.

Massive, Generic, and Controlled Microencapsulation by Flow Focusing: Some Physicochemical Aspects and New Applications

Contact Info

Product

Resources

About