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

Fazio, Riccardo; Iacono, Salvatore

doi:10.1002/mma.3030

Cited by 8 publications

(9 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In finite systems, gas pressure increases during the first tenths of milliseconds while being almost aperiodic (Figure f) as discussed in Ref. . Spontaneous imbibition makes gas pressure oscillating with a pseudo period depending on the considered air escape mechanism (Figure e).…”

Section: Theorymentioning

confidence: 57%

“…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%

See 1 more Smart Citation

Multiscale modeling of oil uptake in fried products

et al. 2015

View full text Add to dashboard Cite

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

show abstract

Section: Theorymentioning

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of oil uptake in fried products

et al. 2015

View full text Add to dashboard Cite

show abstract

“…It is evident from the figure that the dynamic contact angle effect and the gas phase viscous dissipation are both significant for liquid rising into closed‐end capillaries. The viscous resistance of the compressed gas phase on the advancing meniscus is

\frac{8 μ_{g} (L - h)}{3 R^{2}} \frac{normald h}{normald t}

, but not

\frac{8 μ_{g} (L - h)}{R^{2}} \frac{normald h}{normald t}

, as proposed by Fazio and Iacono . The latter proposal is inconsistent with the boundary conditions imposed by a closed capillary …”

Section: Comparisons With Modelsmentioning

confidence: 86%

“…To our knowledge, Deutsch was the first to study the liquid rise in closed‐end capillaries, assuming isothermal instantaneous equilibrated compression of an ideal gas phase. Fazio and Iacono included the viscous resistance in the gas phase by assuming that the air viscosity induced pressure drop follows the form

\frac{8 μ_{g} (L - h)}{R^{2}} \frac{dh}{dt}

, which is the same as in open capillaries. This expression measurably overestimates viscous resistance due to gas flow .…”

Section: Closed‐end Capillarymentioning

confidence: 99%

Closed‐end capillary rise—An experimental study

Ramakrishnan

Zhang

et al. 2020

AIChE Journal

View full text Add to dashboard Cite

The spontaneous rise of Newtonian liquids in closed-end capillaries is investigated with three different organics. Rise rate and equilibrium height are significantly reduced by a compression induced minor elevation in air pressure within the capillaries. We verify our earlier mathematical analysis quantifying viscous dissipation within air, and also show that the dynamic contact angle plays a material role. The relative importance of these varies with capillary dimensions. We also quantify the influence of atmospheric pressure variation and the temperature induced fluctuations in the rise height. A single parameter that relates static and dynamic contact angles is sufficient to match all of the data. This parameter is obtained from an open-capillary experiment. K E Y W O R D S closed capillary, compressible laminar flow, dynamic contact angle 1 | BACKGROUND Studies of single and multiphase flow in porous media rely upon an understanding of fluid dynamics and interface movement within capillaries. Applications include lab-on-a-chip and microfluidics, oil and gas production, drying, and so on. The dynamics of displacement, particularly with regard to the role of dynamic contact angle, is still an active research area. In open capillaries, modifications to Washburn equation due to inertia, dynamic contact angle, exit and entry losses, viscous dissipation in the gas phase vary in importance, depending on the dimensions of the capillary. 1 In closed capillaries however, inertia and losses play less of a role, and major corrections are due to dynamic

show abstract

“…A few researches were done on closed-end capillaries as well. Fazio et al [20] compared the analytical and numerical results of closed-end capillary invasion. Also, our previous contribution presented the harmonic oscillation model and one-dimensional modified equation according to experimental data for closed-end capillary invasion [21].…”

Section: Introductionmentioning

confidence: 99%

Versatile analysis of closed-end capillary invasion of viscous fluids

Lim

Lee

2019

JMST Adv.

View full text Add to dashboard Cite

When a fluid invades a closed-end capillary, the fluid flows owing to surface tension overcoming the viscous resistance, gravity, and the gas pressure from the entrapped gas, and the fluid spontaneously reaches a certain height. An experiment was conducted to observe the rise of the viscous fluid in a closed-end capillary, and the results are compared with a onedimensional theoretical model and a numerical simulation solved using a level set method. When a static contact angle was used in the theoretical model, the result was different from the experimental result, because the radius of curvature increased as the fluid rose. Therefore, the dynamic contact angle during the increase was measured, and the geometrical equation was developed. This empirical equation was applied to the modified theoretical model, and the result agreed well with the experiment and simulation. Additionally, the effect of the shear stress at the inner wall was investigated, and it was directly affected by the velocity profile of the fluid, especially at the early stage when t < 0.01 s. Therefore, the effects of dynamic contact angle change and the entrance length is important to analyze accurately the dynamics of viscous fluid invasion in a closed-end capillary.

show abstract

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

Cited by 8 publications

References 37 publications

Multiscale modeling of oil uptake in fried products

Multiscale modeling of oil uptake in fried products

Closed‐end capillary rise—An experimental study

Versatile analysis of closed-end capillary invasion of viscous fluids

Contact Info

Product

Resources

About