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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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Effects of dynamic contact angle on numerical modeling of electrowetting in parallel plate microchannels

TL;DR: In this paper, the authors used molecular-kinetic theory in conjunction with volume of fluid method to simulate the electrowetting phenomenon in parallel plate microchannel and compared the results with experimental data from literature, the simulation demonstrates significant improvement in results.
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Turbulence characteristics in free and forced hydraulic jumps

TL;DR: In this article, the turbulence characteristics in the hydraulic jumps have been calculated by means of the K-epsilon model which had to be adapted for flow cases of a moving free surface.
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A lattice Boltzmann method for axisymmetric thermocapillary flows

TL;DR: In this paper, a two-phase lattice Boltzmann method was developed to simulate axisymmetric thermocapil- lary flows by an improved color-gradient model.
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Hole-defects in soluble core assisted aluminum droplet printing: Metallurgical mechanisms and elimination methods

TL;DR: In this paper, a novel manufacturing process involving deposition of molten metal droplets on soluble cores is proposed, and the authors present the study on the transport phenomena among four neighboring droplets using both numerical modeling and experimental methods.
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Numerical study on free-surface jet impingement cooling with nanoencapsulated phase-change material slurry and nanofluid

TL;DR: In this paper, the flow and thermal performances of free-surface jet impinging on a heated copper plate are numerically investigated using water, nano-encapsulated phase-change material (NEPCM) slurry, and nanofluid as coolants.
References
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Journal ArticleDOI

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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