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A continuum method for modeling surface tension

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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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An Efficient Method for Capturing Free Boundaries in Multi-Fluid Simulations

TL;DR: In this paper, an easy-to-use front capturing method is devised by directly solving the transport equation for a volume of fluid (VOF) function, which can be directly used to compute the VOF-like function and retain the compact thickness of the moving interface in multi-fluid simulations.
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Development of a compressive surface capturing formulation for modelling free‐surface flow by using the volume‐of‐fluid approach

TL;DR: This study presents the development of a new volume-of-fluid free-surface capturing formulation that reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interfaces shape is maintained.
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Numerical study on the effects of non-dimensional parameters on drop-on-demand droplet formation dynamics and printability range in the up-scaled model

Eunjeong Kim, +1 more
- 14 Aug 2012 - 
TL;DR: In this paper, the printability range of a drop-on-demand printhead is determined by a Z number, which is the inverse of the Ohnesorge number (Oh), but it is found that the Z number alone is insufficient for describing the droplet formation dynamics.
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Enhancement of ultrafiltration using gas sparging: a comparison of different membrane modules

TL;DR: In this paper, the authors compared the effect of gas bubbles on the performance of two-phase cross-flow ultrafiltration with different membrane modules (in particular, tubular and hollow fibre membrane modules).
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Liquid desiccant dehumidifier: Development of a new performance predication model based on CFD

TL;DR: In this paper, a simulation model for simultaneous heat and mass transfer combined with the volume of fluid (VOF) surface tracking method has been developed for a simplified liquid desiccant dehumidifier.
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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