The influence of the gas phase on liquid imbibition in capillary tubes

Hultmark, Marcus; Aristoff, Jeffrey M.; Stone, Howard A.

doi:10.1017/jfm.2011.160

Cited by 56 publications

(59 citation statements)

References 17 publications

(17 reference statements)

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“…Nevertheless, as pointed out by van Honschoten et al 14 the Washburn model is derived for water imbibition without gas bubbles. 38,50 Therefore, a comprehensive explanation to the slower than expected capillary rates observed in the filling of nanochannels compared to the LW equation predictions remains an open question. Specifically, Chauvet et al 38 inferred that in sub 100 nm channels, the enhanced hydrodynamic resistance induced by the presence of nanobubbles is compensated for by the effect of the reduced volume to fill induced by the same gas nanobubbles.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, Chauvet et al 38 inferred that in sub 100 nm channels, the enhanced hydrodynamic resistance induced by the presence of nanobubbles is compensated for by the effect of the reduced volume to fill induced by the same gas nanobubbles. 15,21,50,[52][53][54][55][56] In 1923 Bosanquet 52 incorporated in a momentum balance equation the contributions of inertial drag and viscous resistance counteracting the capillary pressure. The explanation proposed by Haneveld et al 33 seems to correspond to the negative velocity slip length in silica pores reported by Gruener et al 39 in experiments of water filling in networks of nanopores.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Early regimes of water capillary flow in slit silica nanochannels

Oyarzua

Walther

Mejı́a

et al. 2015

Phys. Chem. Chem. Phys.

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Molecular dynamics simulations are conducted to investigate the initial stages of spontaneous imbibition of water in slit silica nanochannels surrounded by air. An analysis is performed for the effects of nanoscopic confinement, initial conditions of liquid uptake and air pressurization on the dynamics of capillary filling. The results indicate that the nanoscale imbibition process is divided into three main flow regimes: an initial regime where the capillary force is balanced only by the inertial drag and characterized by a constant velocity and a plug flow profile. In this regime, the meniscus formation process plays a central role in the imbibition rate. Thereafter, a transitional regime takes place, in which, the force balance has significant contributions from both inertia and viscous friction. Subsequently, a regime wherein viscous forces dominate the capillary force balance is attained. Flow velocity profiles identify the passage from an inviscid flow to a developing Poiseuille flow. Gas density profiles ahead of the capillary front indicate a transient accumulation of air on the advancing meniscus. Furthermore, slower capillary filling rates computed for higher air pressures reveal a significant retarding effect of the gas displaced by the advancing meniscus.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Early regimes of water capillary flow in slit silica nanochannels

Oyarzua

Walther

Mejı́a

et al. 2015

Phys. Chem. Chem. Phys.

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“…It offers the advantages of keeping the fractal nature of the oil‐gas interface, which could be compared with microscopic observations. Four important constraints were explicitly considered: (1) the threshold of percolation in honeycomb structures, (2) the immiscible displacement of air and oil, (3) the presence of buoyancy forces, (4) the pressure ahead the oil meniscus . By reusing several concepts previously devised to describe diffusive phenomena at supramolecular scale or to solve transport equations when all parameters are known by their distributions, we show that the distributions of filling times and first‐passage times can be parametrized from the main physical quantities (number of layers, size of defects, presence of air, etc.).…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of oil uptake in fried products

et al. 2015

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Oil–air biphasic flow has been simulated at the scale of an entire potato tuber tissue using a Kinetic Monte‐Carlo (KMC) formulation parameterized on microscopic observations. Extrapolations to more general configurations are proposed by combining the proposed KMC framework with oil momentum equations integrated at microscopic scale. Branched percolation routes in three‐dimensional honeycomb arrangement of cells are explored using a first‐passage algorithm. Three major applications are presented. KMC simulations are first considered to homogenize sparse dynamic observations at the scale of isolated cells up to the scale of a full tissue. The second application investigates the effect of cell damages on oil uptake. Finally, our general KMC formulation was successfully compared with a diffusive model of oil uptake. Comprehensive rules to set the distribution parameters of all quantities (kinetic and structure parameters) from scarce observations or general assumptions are discussed. © 2015 American Institute of Chemical Engineers AIChE J, 61: 2329–2353, 2015

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“…Two different ways to model the entrapped gas action are available in literature: the first, given by the following formula

Ω (ℓ MathClass-punc, L) MathClass-rel= p_{a} MathClass-bin- p_{a} \frac{L}{L MathClass-bin- ℓ} MathClass-punc,

is due to Deutsch , p a here is the atmospheric pressure; the second, according to Zhmud et al , Chibbaro or Hultmark et al , takes into account only the viscous drag produced by the entrapped gas as follows:

Ω (ℓ MathClass-punc, L) MathClass-rel= MathClass-bin- \frac{8 μ_{g} (L MathClass-bin- ℓ)}{R^{2}} \frac{dℓ}{dt} MathClass-bin- \frac{d}{dt} ([], ρ_{g} (L MathClass-bin- ℓ) \frac{dℓ}{dt}) MathClass-punc,

where μ g and ρ g are the viscosity and density of the entrapped gas, respectively. Let us remark that those authors usually take μ g ≪ μ .…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…is due to Deutsch [30], p a here is the atmospheric pressure; the second, according to Zhmud et al [20], Chibbaro [8] or Hultmark et al [32], takes into account only the viscous drag produced by the entrapped gas as follows:…”

Section: Entrapped Gas Modellingmentioning

confidence: 99%

An analytical and numerical study of liquid dynamics in a one‐dimensional capillary under entrapped gas action

Fazio

Iacono

2013

Math Methods in App Sciences

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Capillary dynamics has been and is yet an important field of research, because of its very relevant role played as the core mechanism at the base of many applications. In this context, we are particularly interested in the liquid penetration inspection technique. Due to the obviously needed level of reliability involved with such a non-destructive test, this paper is devoted to study how the presence of an entrapped gas in a close-end capillary may affect the inspection outcome. This study is carried out through a 1D ordinary differential model that despite its simplicity is able to point out quite well the capillary dynamics under the effect of an entrapped gas. The paper is divided into two main parts; the first starts from an introductory historical review of capillary flows modeling, goes on presenting the 1D second order * Corresponding author e-mail: rfazio@dipmat.unime.it 1 ordinary differential model, taking into account the presence of an entrapped gas and therefore ends by showing some numerical simulation results. The second part is devoted to the analytical study of the model by separating the initial transitory behavior from the stationary one. Besides, these solutions are compared with the numerical ones and finally an expression is deduced for the threshold radius switching from a fully damped transitory to an oscillatory one.

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The influence of the gas phase on liquid imbibition in capillary tubes

Cited by 56 publications

References 17 publications

Early regimes of water capillary flow in slit silica nanochannels

Early regimes of water capillary flow in slit silica nanochannels

Multiscale modeling of oil uptake in fried products

An analytical and numerical study of liquid dynamics in a one‐dimensional capillary under entrapped gas action

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