Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop

Pilch, M.; Erdman, C.A.

doi:10.1016/0301-9322(87)90063-2

Cited by 939 publications

(494 citation statements)

References 14 publications

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“…The model proposed initially by Grady [32] has been abundantly validated by MD calculations [14,17,20] in 2D and 3D, and is in very good agreement with measurements on He jets [33]. We note that the scaling of the mean radius R of the droplet can be obtained by just setting to unity the Weber number W e ≡ ρRv 2 /σ [34], where σ is the surface tension ρ the liquid mass density, and v = ηR the typical velocity difference across a piece of fluid of size R. W e is the ratio of the surface energy to the inertial energy. In any dimension this criterion yields…”

Section: B Initial Droplet Sizesupporting

confidence: 75%

Droplet evolution in expanding flow of warm dense matter

Armijo

Barnard

2011

Phys. Rev. E

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We propose a simple, self-consistent kinetic model for the evolution of a mixture of droplets and vapor expanding adiabatically in vacuum after rapid, almost isochoric heating. We study the evolution of the two-phase fluid at intermediate times between the molecular and the hydrodynamic scales, focussing on out-of-equilibrium and surface effects. We use the Van der Waals equation of state as a test-bed to implement our model and study the phenomenology of the upcoming NDCXII ion heating experiments at LBNL. We find an approximate expression for the temperature difference between the droplets and the expanding gas and we check it with numerical calculations. The formula provides a useful criterion to distinguish the thermalized and non-thermalized regimes of expansion. In the thermalized case, the liquid fraction grows in a proportion that we estimate analytically, whereas, in case of too rapid expansion, a strict limit for the evaporation of droplets is derived. The range of experimental situations is discussed.

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Section: B Initial Droplet Sizesupporting

confidence: 75%

Droplet evolution in expanding flow of warm dense matter

Armijo

Barnard

2011

Phys. Rev. E

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“…[27][28][29] These rimmed bags are dynamically unstable and fragment within tens of microseconds into smaller, submicrometer-sized, electrically charged secondary droplets ( Figure 1). 30 The enhanced surface and electrostatic energies of the polarized stretched films are drawn from the kinetic energy of the gas. Since the kinetic energy density of the gas can deform only primary drops of time event in which net charges (those detected by mass spectrometry) are created from the neutral inflowing solutions.…”

Section: Methodsmentioning

confidence: 99%

Long-range specific ion-ion interactions in hydrogen-bonded liquid films

Enami

Colussi

2013

The Journal of Chemical Physics

102

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Anions populate fluid interfaces specifically. Here, we report experiments showing that on hydrogenbonded interfaces anions interact specifically over unexpectedly long distances. The composition of binary electrolyte (Na + , X − /Y − ) films was investigated as a function of solvent, film thickness, and third ion additions in free-standing films produced by blowing up drops with a high-speed gas. These films soon fragment into charged sub-micrometer droplets carrying excess anions detectable in situ by online electrospray ionization mass spectrometry. We found that (1) the larger anions are enriched in the thinner (nanoscopic air-liquid-air) films produced at higher gas velocities in all (water, methanol, 2-propanol, and acetonitrile) tested solvents, (2) third ions (beginning at sub-μM levels) specifically perturb X − /Y − ratios in water and methanol but have no effect in acetonitrile or 2-propanol. Thus, among these polar organic liquids (of similar viscosities but much smaller surface tensions and dielectric permittivities than water) only on methanol do anions interact specifically over long, viz.: r i − r j /nm = 150 (c/μM) −1/3 , distances. Our findings point to the extended hydrogenbond networks of water and methanol as likely conduits for such interactions. © 2013 AIP Publishing LLC. [http://dx

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“…Below a critical limit of the Weber number (We crit < 12) no further break-up occurs. A relatively well known description of this behaviour is given by Pilch & Erdmann [7], which includes a description for high Weber numbers above We ≥ 350. According to this classification, Samenfink [8] distinguished between three mechanisms for secondary break-up:…”

Section: Atomization Modelmentioning

confidence: 99%

A Unified Computer Model of the Spray Forming Process of Inconel 718 Rings

Garmendia¹,

Landaberea²,

Vicario³

et al. 2005

Superalloys 718, 625, 706 and Various Derivatives (2005)

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A unified computer model of the process of spray forming Inconel 718 rings has been developed. The target of the model is to optimize the process input parameters to achieve the correct shape, microstructure and minimum porosity. The model is divided in three main parts that correspond to the atomization phase of the material, the flight behaviour of the droplets and the solidification and growth of the ring. Different modelling techniques have been used for each part of the model. For the atomization step, stability analysis for the primary atomization and a tracking model for secondary atomization were used. Computational fluid dynamics calculations for the thermal and mechanical behaviour of the droplets in their travel to the substrate were used for the in-flight behaviour step. Shape and growth models, as well as thermal models, based on finite element calculations were used to predict the final shape and temperature history of the as sprayed ring. Various computer programs have been written to link results between different submodels and to transform the format of intermediate computer files.

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Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop

Cited by 939 publications

References 14 publications

Droplet evolution in expanding flow of warm dense matter

Droplet evolution in expanding flow of warm dense matter

Long-range specific ion-ion interactions in hydrogen-bonded liquid films

A Unified Computer Model of the Spray Forming Process of Inconel 718 Rings

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