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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 paper, aqueous solutions of Carbopol 940 were used to simulate non-Newtonian dam-break flows in horizontal channels, which were modeled by the Herschel-Bulkley constitutive equation.
Abstract: The dam-break flow involving non-Newtonian fluids is a type of flow commonly observed in nature as well as in common industrial processes. Experiments of non-Newtonian dam-break flows were conducted in horizontal channels and aqueous solutions of Carbopol 940 were used, which were modeled by the Herschel-Bulkley constitutive equation. Their flows were filmed and the frames were compared with numerical simulations. Two particular results were analyzed: the front wave evolution with time and its stop distance. The CFX software was employed and the simulations were conducted with the VOF method. Both results, numerical and experimental, were compared with shallow water approximation solutions found in literature. The numerical code, which uses complete momentum equations, showed better agreement with the experiments than those using shallow water equations. It seems that the hypotheses used by the shallow water approximated equations are not appropriate for the first instants of the flow, just after the dam-break and errors are introduced. Probably, these errors are propagated producing the differences encountered.

30 citations

Journal ArticleDOI
TL;DR: In this article, the effect of confining boundaries on gravity currents in porous media is investigated theoretically and experimentally, and it is shown that the current propagation is well described by L ~ t c for some scalar c. The current height increases or decreases with respect to time depending on whether α is greater or less than α c, which explains why varying the channel shape n affects the propagation rate c in different ways depending on α.
Abstract: The effect of confining boundaries on gravity currents in porous media is investigated theoretically and experimentally. Similarity solutions are derived for currents when the volume increases as t α in horizontal channels of uniform cross-section with boundary height b satisfying b ~ a|y/a| n , where y is the cross-channel coordinate and a is a length scale of the channel width. Experiments were carried out in V-shaped and semicircular channels for the case of gravity currents with constant volume (α = 0) and constant flux (α =1). These showed generally good agreement with the theory. Typically, we find that the propagation of the current is well described by L ~ t c for some scalar c. We study the dependence of c on the time exponent of the volume of fluid in the current, α, and the geometry of the channel, parameterized by n. For all channel shapes, there exists a critical value of α, α c = 1/2, above which increasing n causes an increase in c and below which increasing n causes a decrease in c, where increasing n corresponds to opening up the channel boundary to the horizontal. The current height increases or decreases with respect to time depending on whether α is greater or less than α c . It is this fact, along with global mass conservation, which explains why varying the channel shape n affects the propagation rate c in different ways depending on α. We also consider channels inclined at an angle θ to the horizontal. When the slope of the channel is much greater than the slope of the free surface of the current, the component of gravity parallel to the slope dominates, causing the current to move with a constant velocity, V f say, regardless of channel shape n and flux parameter α, in agreement with results for a two-dimensional gravity current obtained by Huppert & Woods (1995) and some initially axisymmetric gravity currents presented by Vella & Huppert (2006). If the effect of the component of gravity perpendicular to the channel may not be neglected, i.e. if the slopes of the channel and free surface of the current are comparable, we find that, in a frame moving with speed V f , the form of the governing equation for the height of a current in an equivalent horizontal channel is recovered. We calculate that the height of a constant flux gravity current down an inclined channel will tend to a fixed depth, which is determined by the channel shape, n, and the physical properties of the fluid and rock. Experimental and numerical results for inclined V-shaped channels agree very well with this theory.

30 citations

Journal ArticleDOI
TL;DR: In this paper, a one-way coupled fluid-structure framework was developed to explore the slug flow interaction with a horizontal pipe assembly under various superficial gas and liquid velocities.

30 citations

Journal ArticleDOI
TL;DR: In this paper, the authors use a two-dimensional potential flow model to find the pulse volumes that optimize mixing in a rectangular domain containing two source-sink pairs, a system of current interest in DNA microarray analysis.
Abstract: Fluid mixing in a Hele–Shaw cell can be accomplished by periodically pulsing pairs of sources and sinks. The mixing efficiency of this system depends largely on the volume of fluid that is injected (and extracted) during each pulse. In this paper, the authors use a two-dimensional potential flow model to find the pulse volumes that optimize mixing in a rectangular domain containing two source–sink pairs, a system of current interest in DNA microarray analysis. Optimal mixing protocols are identified by determining maximum entropy using an analysis of chaotic advection.

30 citations

Journal ArticleDOI
TL;DR: A new variant of the volume-of-fluid (VOF) color function C advection algorithm based on the piecewise linear interface construction (PLIC) method suitable for use on general moving grids and comparable with other PLIC based algorithms on fixed grids is presented.

30 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023315
2022655
2021352
2020345
2019341
2018323