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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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Condensation in a Square Minichannel: Application of the VOF Method

TL;DR: In this article, a number of steady-state numerical simulations of condensation of R134a at mass fluxes of 400 kg m−2 s−1 and 800 kgm−2 S−1 inside a 1-mm square cross section minichannel are proposed and compared against simulations in a circular cross section channel with the same hydraulic diameter.
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A One-Cell Local Multigrid Method for Solving Unsteady Incompressible Multiphase Flows

TL;DR: In this paper, an original local multigrid method for solving incompressible two-phase flow with surface tension is described, where the dynamics of the interface are resolved on a hierarchy of structured and uniform grids (orthogonal Cartesian meshes).
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Movable bed roughness in alluvial rivers

TL;DR: In this article, a method for the prediction of a movable bed roughness coefficient is proposed by relating the roughness parameter \iA to the nondimensional shear stress τ\u′\i\db/τ\i''dc\d5\d0 and the Froude number of flow.
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Modeling of two-phase flows with surface tension by finite pointset method (FPM)

TL;DR: In this paper, a mesh-free method for two-phase immiscible incompressible flows including surface tension is presented, where the Navier-Stokes equation is considered as the mathematical model and implicit projection method results in linear second-order partial differential equations for velocities and pressure.
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Numerical investigation of effect of fill ratio and inclination angle on a thermosiphon heat pipe thermal performance

TL;DR: In this paper, a new CFD simulation of two phase flow inside thermosiphon heat pipe is carried out to investigate the effect of fill ratio (ratio of liquid volume to the evaporator volume) and inclination angle on its thermal performance in terms of temperature distribution and thermal resistance using FLUENT (ANSYS 15).
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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