Finite volume method for falling liquid films carrying monodisperse spheres in Newtonian regime

Bohorquez, Patricio

doi:10.1002/aic.13863

Cited by 10 publications

(5 citation statements)

References 60 publications

(179 reference statements)

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“…Although this regime was primarily distinguished by the propagation of bumps and ripples along the free surface, it had nothing to do with free-surface instabilities (roll waves), which are observed at much higher Reynolds numbers. 17 Here we focus on Run I, but the same kind of behavior was observed for other runs. A few seconds after the release (typically t > 3 − 5 s for a mass of ∼8 kg), we observed that the free surface deformed and became bumpy.…”

Section: Fracture Regimementioning

confidence: 87%

Granular suspension avalanches. II. Plastic regime

2013

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We present flume experiments showing plastic behavior for perfectly density-matched suspensions of non-Brownian particles within a Newtonian fluid. In contrast with most earlier experimental investigations (carried out using coaxial cylinder rheometers), we obtained our rheological information by studying thin films of suspension flowing down an inclined flume. Using particles with the same refractive index as the interstitial fluid made it possible to measure the velocity field far from the wall using a laser-optical system. At long times, a stick-slip regime occurred as soon as the fluid pressure dropped sufficiently for the particle pressure to become compressive. Our explanation was that the drop in fluid pressure combined with the surface tension caused the flow to come to rest by significantly increasing flow resistance. However, the reason why the fluid pressure diffused through the pores during the stick phases escaped our understanding of suspension rheology. C 2013 American Institute of Physics. [http://dx

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Section: Fracture Regimementioning

confidence: 87%

Granular suspension avalanches. II. Plastic regime

2013

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“…Another formulation can be devised for ASMM in terms of the velocity of the center‐of‐volume or the volumetric flux ,

\overset{u}{true} MathClass-rel= α_{p} {\overset{v}{true}}_{p} MathClass-bin+ α_{q} {\overset{v}{true}}_{q}

. To do so, it is necessary to find a relationship between the velocity of center‐of‐mass and this new velocity . The desired relationship is shown in Eqn.…”

Section: Theoretical Foundationmentioning

confidence: 99%

An extended mixture model for the simultaneous treatment of small‐scale and large‐scale interfaces

Damián

Nigro

2014

Numerical Methods in Fluids

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SUMMARYThe aim of this work is to present a new model based on the volume of fluid method and the algebraic slip mixture model in order to solve multiphase gas–fluid flows with different interface scales and the transition among them. The interface scale is characterized by a measure of the grid, which acts as a geometrical filter and is related with the accuracy in the solution; in this sense, the presented coupled model allows to reduce the grid requirements for a given accuracy. With this objective in mind, a generalization of the algebraic slip mixture model is proposed to solve problems involving small‐scale and large‐scale interfaces in an unified framework taking special care in preserving the conservativeness of the fluxes. This model is implemented using the OpenFOAM® libraries to generate a tool capable of solving large problems on high‐performance computing facilities. Several examples are solved as a validation for the presented model, including new quantitative measurements to assess the advantages of the method. Copyright © 2014 John Wiley & Sons, Ltd.

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“…A brief summary of the VOF method is given following the description given by Bohorquez . The continuity equation is given by

\frac{\partial ρ}{\partial t} + \nabla \cdot (ρ v) = 0

in which the mixture density is given by

ρ = ρ_{1} α + ρ_{2} (1 - α)

…”

Section: Numerical Schemementioning

confidence: 99%

“…The tensor

τ^{(2)}

represents the momentum diffusion due to the relative motion between the two‐phases. It is therefore called the “diffusion stress term.” (The details about the modeling of this term can be found in Bohorquez.) To model the effect of the surface tension the term

- γ κ \nabla α

is added to the right‐hand side (RHS) of the momentum balance equation as suggested Brackbill et al γ is the interfacial tension and κ the local surface curvature.…”

Section: Numerical Schemementioning

confidence: 99%

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Numerical study of laminar core‐annular flow in a torus and in a 90° pipe bend

2015

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A numerical study has been made of laminar core‐annular through a torus. It is a follow‐up of the study by Picardo and Pushpavanam, AIChE J. 2013;59(12):4871–4886, who obtained an analytical solution for the case that the core is concentric and circular. In our study, we investigated the possibility of eccentric core‐annular flow and the deformation of the core‐annular interface. We found that a stable eccentric core position is possible, which is shifted in the direction of the inner or outer side of the torus depending on the balance of the normal stresses at the core‐annular interface. When these stresses are too far off from those for concentric and circular core‐annular flow, fouling of the wall occurs. We compared the results of core‐annular flow in a torus with those for a 90° pipe bend and found that the flow pattern in the torus is representative for the flow pattern in the bend. © 2015 American Institute of Chemical Engineers AIChE J, 61: 2319–2328, 2015

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Finite volume method for falling liquid films carrying monodisperse spheres in Newtonian regime

Cited by 10 publications

References 60 publications

Granular suspension avalanches. II. Plastic regime

Granular suspension avalanches. II. Plastic regime

An extended mixture model for the simultaneous treatment of small‐scale and large‐scale interfaces

Numerical study of laminar core‐annular flow in a torus and in a 90° pipe bend

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