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Volume of fluid method
About: Volume of fluid method is a research topic. Over the lifetime, 5338 publications have been published within this topic receiving 116760 citations.
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TL;DR: In this article, the authors compared gas/vapor-liquid two-phase co-current horizontal flow regimes with experimental data, taken from the Baker chart, using a piecewise linear interface calculation (PLIC) interface reconstruction method.
140 citations
TL;DR: In this paper, a new mixed markers and volume-of-fluid (VOF) algorithm for the reconstruction and advection of interfaces in the two-dimensional space is presented.
140 citations
TL;DR: In this paper, the macroscopic hydrodynamic characteristics of various scale 2D bubble columns, which include dispersed and coalesced bubble regimes characterized by two flow conditions (4 and 3-region flow) with coherent flow structures, were analyzed based on flow visualization and a particle image velocimetry (PIV) system.
Abstract: Experiments conducted quantify the macroscopic hydrodynamic characteristics of various scale 2-D bubble columns, which include dispersed and coalesced bubble regimes characterized by two flow conditions (4- and 3-region flow) with coherent flow structures. Hydrodynamic behavior is analyzed based on flow visualization and a particle image velocimetry (PIV) system. Columns operated in the 4-region flow condition comprise descending, vortical, fast bubble and central plume regions. The fast bubble flow region moves in a wavelike manner, and thus the flow in the vicinity of this region is characterized macroscopically in terms of wave properties. In columns greater than 20 cm in width, the transition from the dispersed bubble flow regime to the 4- and then to 3-region flow in the coalesced bubble regime occurs progressively with gas velocities at 1 and 3 cm/s, respectively. The demarcation of flow regimes is directly related to measurable coherent flow structures. The instantaneous and time-averaged liquid velocity and holdup profiles provided by the PIV system are presented in light of the macroscopic flow structure in various 2-D bubble columns. Numerical simulations demonstrate that the volume of fluid method can provide the time-dependent behavior of dispersed bubbling flows and account for the coupling effects of pressure field and the liquid velocity on the bubble motion. Comparison of computational results with PIV results for two different bubble injector arrangements is satisfactory.
139 citations
TL;DR: The coupled method is applied for computations of bubbles rising in a liquid and droplets adhering to a vertical wall and geometric formulations necessary for interface reconstruction, advection of the volume fraction, and reinitialization of the level-set function are proposed.
Abstract: A level-set method is combined with the volume-of-fluid method for computing incompressible two-phase flows in three dimensions, where the interface configurations are much more diverse and complicated. For efficient implementation of the coupled method, we propose geometric formulations necessary for interface reconstruction, advection of the volume fraction, and reinitialization of the level-set function. The calculation procedures are based on an explicit relation between the interface configuration and the volume fraction. This allows us to reduce the number of iterations required for reconstructing the interface. The coupled method is applied for computations of bubbles rising in a liquid and droplets adhering to a vertical wall.
138 citations
TL;DR: In this article, the shape and rate of spread of the propagating crack are formulated for the cases of vertical propagation of buoyant fluid released into a solid of greater density and of lateral propagation of fluid released at an interface between an upper layer of lesser density and a lower layer of higher density.
Abstract: Buoyancy-driven flows resulting from the introduction of fluid of one density into a crack embedded in an elastic solid of different density are analysed. Scaling arguments are used to determine the regimes in which different combinations of the buoyancy force, elastic stress, viscous pressure drop and material toughness provide the dominant pressure balance in the flow. The nonlinear equations governing the shape and rate of spread of the propagating crack are formulated for the cases of vertical propagation of buoyant fluid released into a solid of greater density and of lateral propagation of fluid released at an interface between an upper layer of lesser density and a lower layer of greater density. Similarity solutions of these equations are derived under the assumption that the volume of fluid is given by Qtα, where Q and α are constants. Both laminar and turbulent flows are considered.Fluid fracture is an important mechanism for the transport of molten rock from the region of production in the Earth's mantle to surface eruptions or near-surface emplacement. The theoretical solutions provide simple models which describe the relation between the elastic and fluid-mechanical phenomena involved in the vertical transport of melt through the Earth's lithosphere and in the lateral intrusion of melt at a neutral-buoyancy level close to the Earth's surface.
137 citations