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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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Effects of inertia on the deformation of liquid drops in simple shear flow

TL;DR: In this paper, a simple shear flow past a one-dimensional array of two-dimensional viscous drops with constant surface tension at small and moderate Reynolds numbers up to Re = 100 is considered in a Couette flow device.
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Experimental validation of 3-D Lagrangian VOF model : bubble shape and rise velocity

TL;DR: In this article, a 3D computational fluid dynamics model using an advanced Lagrangian interface tracking scheme was studied to find the time-dependent behavior of gas bubbles rising in an initially quiescent liquid.
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Inertial migration of deformable droplets in a microchannel

TL;DR: In this paper, the authors conduct numerical simulations on the droplet motion and deformation in a straight microchannel and compare the results with preliminary experiments and theoretical analysis, and find that the inner equilibrium position is linked to the quartic velocity distribution in the width direction through a simple model for the slip angular velocities of droplets.
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Computational fluid dynamics simulations of taylor bubbles in tubular membranes: Model validation and application to laminar flow systems

TL;DR: In this article, the authors used simulation of a Taylor bubble to study the effect of liquid extraction at the membrane wall on the wall shear stress, and showed that the effect is negligible for typical operating conditions.
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Wettability effects on supercritical CO2–brine immiscible displacement during drainage: Pore-scale observation and 3D simulation

TL;DR: Wettability is an important factor controlling the displacement of immiscible fluids in porous media and therefore affects the flow and transport of supercritical (sc) CO2 in geologic carbon sequestration as mentioned in this paper.
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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