Numerical simulation of non-viscous liquid pinch-off using a coupled level set-boundary integral method

Garzon, M.; Gray, L. J.; Sethian, James A.

doi:10.1016/j.jcp.2009.04.048

Cited by 24 publications

(36 citation statements)

References 34 publications

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“…(3) In the case D = 0, the two-fluid solution matches the results in [8] and produces the known behavior at pinchoff including correct scaling exponents and overturning of the fluid. (4) We are able to compute scaling exponents over the entire range of D values.…”

Section: Introductionsupporting

confidence: 60%

“…The presentation below is kept as brief as possible; further details can be found in [8,10,11]. Consider a fluid of density ρ I immersed in an (infinite) exterior fluid of density ρ E .…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In a recent work [8], the collapse of a single inviscid fluid column (D = 0, Rayleigh instability of a liquid jet) has been numerically approximated. The algorithm combines a level set method [9] for advancing the free surface and the free surface boundary condition, together with a boundary integral approach for the evaluation of surface velocities.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of the droplet-to-bubble transition in a two-fluid system

2011

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Recent experiments by Burton and Taborek have demonstrated a droplet-to-bubble transition in the pinchoff behavior of one inviscid fluid inside another. With D the relative densities ρ E /ρ I , they find transition from (D = 0) droplet-to-bubble behavior at D ≈ 4. Numerical simulations of this two-fluid system, up to and beyond the initial breakup of the inner fluid, have been carried out utilizing level set and boundary integral methods. A droplet-to-bubble transition is predicted: For D sufficiently large, the volume of the satellite droplet shrinks to zero and there is no overturning of the fluid at separation. The calculated self-similar scaling exponents and the pinchoff region shapes match the known behavior at the droplet and bubble extremes (D = 0, D = 100). For intermediate D values, the simulations presented here indicate that the transition range between droplet and bubble behavior depends upon initial drop geometry. When the neck separates two nonequal inner fluid masses the transition is mild and occurs in the range 4 < D < 10, whereas in the case of equal masses an abrupt transition occurs at D ≈ 4 in perfect agreement with the above mentioned experiments.

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Section: Introductionsupporting

confidence: 60%

“…The presentation below is kept as brief as possible; further details can be found in [8,10,11]. Consider a fluid of density ρ I immersed in an (infinite) exterior fluid of density ρ E .…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulation of the droplet-to-bubble transition in a two-fluid system

2011

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“…[4] Adaptive-grid methods [5,6] are ideally suited to resolve the lubricating film between bubbles/droplets and channel walls, but they are complicated to apply to problems with large interface movement and topological change. Such problems are typically modeled by fixed-grid methods, including the Volume of Fluid [7,8], level set [9], and diffuse interface method [10].…”

Section: Introductionmentioning

confidence: 99%

Modeling of low-capillary number segmented flows in microchannels using OpenFOAM

Hoang¹,

Steijn²,

Portela³

et al. 2012

AIP Conference Proceedings

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Abstract. Modeling of low-Capillary number segmented flows in microchannels is important for the design of microfluidic devices. We present numerical validations of microfluidic flow simulations using the volume-of-fluid (VOF) method as implemented in OpenFOAM. Two benchmark cases were investigated to ensure the reliability of OpenFOAM in modeling complex physical phenomena in microfluidics, viz. 1) the steady motion of bubbles in capillaries, and 2) the formation of bubbles in T-junctions. We found that it is crucial to reduce spurious currents and to apply local grid refinement to capture the relevant flow physics. With these, we obtain good agreement between our numerical simulations and previously published theoretical and experimental data.

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“…[152]) used front tracking algorithms on moving grids. In a recent paper, Garzon et al [153] To combine the benefits of VOF (conservative properties) and LS (ability to capture sharp interface), some authors have used a combination of the two methods for interface capturing (e.g. Shinjo and Umemura [154]).…”

Section: Detailed Numerical Simulationmentioning

confidence: 99%

Trends in Comprehensive Modeling of Spray Formation

Tharakan

Mukhopadhyay

Datta

et al. 2013

International Journal of Spray and Combustion Dynamics

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Comprehensive modeling of spray formation in liquid fuel injectors involves modeling of (i) internal hydrodynamics of fuel injector (ii) break up of liquid sheet leading to primary and secondary atomization and (iii) prediction of size and velocity distributions of droplets in the spray. Comprehensive models addressing all the three aspects are rare though some work has been reported that incorporate two of the three aspects. However, significant volume of literature exists on the individual modules. In the present work, progress and current trends in the individual modules have been extensively reviewed and their implications on development of comprehensive models have been discussed. The unresolved issues and future research directions are also indicated.

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Numerical simulation of non-viscous liquid pinch-off using a coupled level set-boundary integral method

Cited by 24 publications

References 34 publications

Simulation of the droplet-to-bubble transition in a two-fluid system

Simulation of the droplet-to-bubble transition in a two-fluid system

Modeling of low-capillary number segmented flows in microchannels using OpenFOAM

Trends in Comprehensive Modeling of Spray Formation

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