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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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An overview of smoothed particle hydrodynamics for simulating multiphase flow

TL;DR: Smoothed particle hydrodynamics (SPH) is a mesh-free, Lagrangian particle method, which is advantageous over conventional grid-based numerical methods in the aspect of interface treatment as discussed by the authors.
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A concise review on the role of nanoparticles upon the productivity of solar desalination systems

TL;DR: In this article, a review of the literature on the implementation of nanofluid technology in active and passive solar distillation systems is presented, and the progress made and the existing challenges are discussed, and some conclusions and suggestions are made for future research.
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Interaction of a strong shockwave with a gas bubble in a liquid medium: a numerical study

TL;DR: In this article, the authors employed a high-resolution front-tracking framework to numerically investigate the dynamics of the collapse of a gas bubble in a liquid medium, and provided a comprehensive qualitative analysis of the collapsing process.
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Experimental and computational investigation of vertical downflow condensation

TL;DR: In this paper, a highly instrumented condensation module is used to map detailed axial variations of both wall heat flux and wall temperature, which are used to determine axial variation of the condensation heat transfer coefficient.
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CFD modelling of flow and heat transfer in the Taylor flow regime

TL;DR: In this article, the effects of the mixture velocity and the homogeneous void fraction on flow and heat transfer were studied using the volume of fluid (VOF) and level set techniques to capture the gas-liquid interface, as implemented in the ANSYS Fluent and TransAT codes, respectively.
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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