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A continuum method for modeling surface tension

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TLDR
In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
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This article is published in Journal of Computational Physics.The article was published on 1992-06-01. It has received 7863 citations till now. The article focuses on the topics: Capillary surface & Capillary length.

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Citations
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Numerical analysis of droplet impact onto liquid film

TL;DR: In this paper, the normal impingement of a single droplet on a thin liquid film is investigated numerically solving the axisymmetric Navier-Stokes equations.
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Numerical computation of film boiling including conjugate heat transfer

TL;DR: In this paper, a numerical method and simulations of film boiling including conjugate heat transfer are presented, where a volume-of-fluid (VOF) interface tracking method is augmented with a mass transfer model and a model for surface tension.
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A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows

TL;DR: A positivity preserving variational scheme for the phase-field modeling of incompressible two-phase flows with high density ratio and a remarkable reduction of oscillations in the solution while retaining the boundedness of thephase-indicator field is presented.
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Multi-Objective Optimization Design through Machine Learning for Drop-on-Demand Bioprinting

TL;DR: A multi-objective optimization design method for DOD printing parameters through fully connected neural networks (FCNNs) is proposed in order to solve challenges such as satellite generation, too-large droplet generation, and too-low droplet speed.
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Dynamics of double emulsion break-up in three phase glass capillary microfluidic devices

TL;DR: Pinch-off of a compound jet in 3D glass capillary microfluidic device was investigated using an incompressible three-phase axisymmetric Volume of Fluid-Continuum Surface Force (VOF-CSF) numerical model, which showed good agreement with the experimental drop generation and was capable of predicting formation of core/shell droplets in dripping, narrowing jetting and widening jetting regimes.
References
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Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book

An Introduction to Fluid Dynamics

TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book

A practical guide to splines

Carl de Boor
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
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An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)

TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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