Numerical simulation of axisymmetric drop formation using a coupled level set and volume of fluid method

Chakraborty, Indrajit; Rubio-Rubio, Mariano; Sevilla, A.; Gordillo, José Manuel

doi:10.1016/j.ijmultiphaseflow.2016.04.002

Cited by 30 publications

(11 citation statements)

References 38 publications

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“…The full cycle, which includes the formation of the main drop and the primary satellite, corresponds to the period of the initial excitation. Qualitatively, the formation of the main and the satellite drop is broadly the same as in the dripping process, as described originally by Lenard (1887) and then studied in detail in many works, notably (Ambravaneswaran et al 2000;Chakraborty et al 2016;Borthakur et al 2017); see also references therein and in (Shikhmurzaev 2007, Ch. 7).…”

Section: Finite-amplitude Waves and Formation Of Dropsmentioning

confidence: 71%

“…Furthermore, when it comes to the drop formation, the numerics by necessity has to resolve the flow on disparate length scales leading to a three-dimensional unsteady free-boundary problem which, if approached straightforwardly, is beyond available computer resources. A body of numerical work dealing with the dynamics of dripping (Ambravaneswaran et al 2000;Chakraborty et al 2016;Borthakur et al 2017), where the unsteady freeboundary problem is two-dimensional and, importantly, the jet is short enough to make the computations feasible, can again provide a qualitative guide. However, the difficulty remains and has to be addressed with controllable and acceptable computational accuracy.…”

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: Finite-amplitude Waves and Formation Of Dropsmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

On the breakup of spiralling liquid jets

Sisoev²,

Shikhmurzaev

2019

J. Fluid Mech.

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“…One of the key steps in such methodologies is the surface tension modeling, and improper model implementation in balance between capillary force and pressure jump across the interface can lead to the evolution of unphysical velocities near the interface, known as spurious currents . , Several researchers have attempted to reduce spurious currents with different approaches. − Sussman and Puckett developed a coupled LS and VOF (CLSVOF) technique that smoothly captured the continuous interface by calculating the radius of curvature from the LS function. This method has later been successfully utilized to unravel the physics in various applications, e.g., bubble rise in viscous liquids, bubble formation on submerged orifices, droplet impact on a liquid pool, Taylor bubble formation, − axisymmetric droplet formation, droplet coalescence, and demulsification . In this work, we present a comprehensive numerical study based on the CLSVOF method, which is arguably better in interface tracking for low Capillary number systems than the conventional VOF technique to delineate the droplet formation mechanism and flow patterns in a microfluidic flow-focusing device.…”

Section: Introductionmentioning

confidence: 99%

Numerical Insights on Controlled Droplet Formation in a Microfluidic Flow-Focusing Device

Sontti

Atta

2019

Ind. Eng. Chem. Res.

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In this article, we have developed a computational model to determine the droplet formation regime and its transition in a square microfluidic flow-focusing device that eventually dictate the droplet shape, size, and its formation frequency. We have methodically explored the influences of various physicochemical parameters on the droplet dynamics and flow regime transition, which are essential in the development of new methods for on-demand droplet generation. On the basis of the droplet formation mechanism, we have formulated flow maps for different liquid−liquid systems, and have also proposed a scaling law to predict the droplet length for a wide range of operating condition resulting from the variation of flow rates, and viscosities of the continuous phase as well as the interfacial tension. This work can effectively contribute in providing helpful guidelines on the design and operations of droplet-based flow-focusing microfluidic systems.

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“…A 3-D numerical model could provide more detailed physical mechanism which was developed by Wu et al 15 The droplet formation for squeeze-type inkjet was simulated and the relationship between pressure at the nozzle inlet and acoustic propagation theory was explored. Recently, numerical simulations using a coupled level-set and volume-of-fluid (CLSVOF) method were performed by Chakraborty et al 20 to investigate the effects of Weber number on the nonlinear dynamics of droplet formation. A 3-D numerical simulation using volume of fluid (VOF) was carried out by Kim et al 17 Key factors of industrial printhead including nozzle geometry and voltage amplitude were investigated for optimizing printhead designs and micro-patterning on printed circuit boards.…”

Section: Introductionmentioning

confidence: 99%

“…The five regimes of droplet formation dynamics were presented and a regime map based on the Z, Weber number (We) and capillary number (Ca) was proposed. Recently, numerical simulations using a coupled level-set and volume-of-fluid (CLSVOF) method were performed by Chakraborty et al 20 to investigate the effects of Weber number on the nonlinear dynamics of droplet formation. For megahertz frequency droplet formation, Miers and Zhou 21 presented a numerical model based on VOF method and found that the energy density input to the nozzle was the key factor to obtain megahertz frequency droplet formation.…”

Section: Introductionmentioning

confidence: 99%

The role of wettability of nonideal nozzle plate: From drop‐on‐demand droplet jetting to impact on solid substrate

Zhang

Jia

et al. 2018

AIChE Journal

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The dynamics of drop‐on‐demand (DoD) droplet formation and subsequently impact on the solid substrate are investigated using a three‐dimensional (3‐D) multirelaxation‐time (MRT) pseudopotential lattice Boltzmann (LB) model. The wettability of nonideal nozzle plate and solid substrate is modeled by a geometric scheme within the LB framework. The dynamics of droplet formation are explored in a range of the inverse of Ohnesorge number Z=4.95, 11.57, and 28.17, and the Reynolds number Re=39.6, 58.9, and 136.4. For Z=4.95, no satellite droplet is observed and the wettability of nozzle plate greatly influences the velocity and length of jetting fluids. For Z=11.57, the filament breakup and recombination are observed. The moment of filament breakup is delayed with advancing contact angle θA increasing. For Z=28.17 with Re=136.4, the primary and satellite droplets could not be recombined with θA=30° and θA=60° which agree with the literature. Whereas with θA=90°, the recombination occurs. The dynamics of subsequent oscillating droplet impact on the substrate are similar to that of equilibrium droplet which could obtain high‐resolution printed features. Consequently, considering θA=90° with large Z and Re numbers, the printable range could be extended which could help increase the printing frequency and boost the production outputs of inkjet printing. © 2018 American Institute of Chemical Engineers AIChE J, 64: 2837–2850, 2018

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Numerical simulation of axisymmetric drop formation using a coupled level set and volume of fluid method

Cited by 30 publications

References 38 publications

On the breakup of spiralling liquid jets

On the breakup of spiralling liquid jets

Numerical Insights on Controlled Droplet Formation in a Microfluidic Flow-Focusing Device

The role of wettability of nonideal nozzle plate: From drop‐on‐demand droplet jetting to impact on solid substrate

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