Deformations of thin liquid spherical shells in liquid-liquid-gas systems

Kawano, Shoichi; Shirai, Atsushi; Nagasaka, Shohei

doi:10.1063/1.2429070

Cited by 12 publications

(8 citation statements)

References 41 publications

(46 reference statements)

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“…They presented a phase diagram showing the morphologies obtained for a range of capillary numbers and core interfacial tensions. Kawano et al 32 studied deformations of thin liquid spherical shells in a liquid-liquid-gas system both experimentally and computationally. In recent years, the field has been mainly driven by a growing range of applications in microfluidics.…”

Section: Introductionmentioning

confidence: 99%

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Tasoğlu¹,

Kaynak²,

Szeri³

et al. 2010

Physics of Fluids

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The impact and spreading of a compound viscous droplet on a flat surface are studied computationally using a front-tracking method as a model for the single cell epitaxy. This is a technology developed to create two-dimensional and three-dimensional tissue constructs cell by cell by printing cell-encapsulating droplets precisely on a substrate using an existing ink-jet printing method. The success of cell printing mainly depends on the cell viability during the printing process, which requires a deeper understanding of the impact dynamics of encapsulated cells onto a solid surface. The present study is a first step in developing a model for deposition of cell-encapsulating droplets. The inner droplet representing the cell, the encapsulating droplet, and the ambient fluid are all assumed to be Newtonian. Simulations are performed for a range of dimensionless parameters to probe the deformation and rate of deformation of the encapsulated cell, which are both hypothesized to be related to cell damage. The deformation of the inner droplet consistently increases: as the Reynolds number increases; as the diameter ratio of the encapsulating droplet to the cell decreases; as the ratio of surface tensions of the air-solution interface to the solution-cell interface increases; as the viscosity ratio of the cell to encapsulating droplet decreases; or as the equilibrium contact angle decreases. It is observed that maximum deformation for a range of Weber numbers has (at least) one local minimum at We=2. Thereafter, the effects of cell deformation on viability are estimated by employing a correlation based on the experimental data of compression of cells between parallel plates. These results provide insight into achieving optimal parameter ranges for maximal cell viability during cell printing.

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Section: Introductionmentioning

confidence: 99%

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Tasoğlu¹,

Kaynak²,

Szeri³

et al. 2010

Physics of Fluids

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show abstract

“…A bubble train can also perform the penetration if the total buoyancy force acting on it is sufficient. A successful penetration can cause a transport of a lower liquid into an upper liquid in the form of entrained droplets following behind the bubble (Greene et al 8 , Reiter and Schwerdtfeger, 9 Kemiha et al 10 and Dietrich et al 11 ) or a lower liquid film engulfing around the bubble (Hashimoto and Kawano, 12 Kawano et al 13,14 ). The results for the dynamic cases obtained from this work appear also to support the earlier predictions based on the static compound drop configurations.…”

Section: Introductionmentioning

confidence: 97%

Feasibility of N₂/sunflower oil compound drop formation in methanol induced by bubble train

2010

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“…An interesting result observed by Rushton & Davies (1983) is that a compound drop translates like a solid sphere when the liquid shell is very thin. Kawano, Shirai & Nagasaka (2007) performed experiments as well as numerical simulations on the deformation of compound drops moving at intermediate Reynolds numbers. The calculated drag coefficients were in good agreement with experimental observations.…”

Section: Introductionmentioning

confidence: 99%

Spreading and breakup of a compound drop on a partially wetting substrate

Gao

Feng

2011

J. Fluid Mech.

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The spreading of a compound drop on a partially wetting solid substrate is numerically simulated using a diffuse-interface method. Compared with a simple drop, the spreading of a compound drop exhibits much more complex behaviour. Depending on the core-shell size ratio and the substrate wettability, various flow regimes are identified in which the interfacial morphology evolves in distinct ways. A phase diagram is constructed in the parameter space of the core-shell size ratio and the wetting angle. For relatively small inner drops, the outer interface does not rupture during the spreading and the inner drop either remains suspended and encapsulated or attaches onto the substrate. Otherwise, the compound drop spontaneously breaks up and releases the inner drop into the ambient fluid. Several breakup scenarios are observed depending on the location of the initial rupture. In some regimes, the wetting of the substrate by one fluid can entrap secondary drops of the other, which can either attach to the substrate or stay suspended. The viscosity ratio mainly affects the spreading rate and plays a minor role in the morphology evolution.

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Deformations of thin liquid spherical shells in liquid-liquid-gas systems

Cited by 12 publications

References 41 publications

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Feasibility of N₂/sunflower oil compound drop formation in methanol induced by bubble train

Spreading and breakup of a compound drop on a partially wetting substrate

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Deformations of thin liquid spherical shells in liquid-liquid-gas systems

Cited by 12 publications

References 41 publications

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Impact of a compound droplet on a flat surface: A model for single cell epitaxy

Feasibility of N2/sunflower oil compound drop formation in methanol induced by bubble train

Spreading and breakup of a compound drop on a partially wetting substrate

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Feasibility of N₂/sunflower oil compound drop formation in methanol induced by bubble train