Peak Effect in Polycrystalline Vortex Matter

Dimitrov, Ivo; Daniilidis, N. D.; Elbaum, C.; Lynn, J. W.; Ling, Xinsheng

doi:10.1103/physrevlett.99.047001

Cited by 26 publications

(39 citation statements)

References 26 publications

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“…[ [21]. Also applying chain-like or more generally spoken polymeric fluids seems to facilitate the occurrence of slip at the fluid-solid interface [55] [48].…”

Section: Introductionmentioning

confidence: 99%

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Gruener

Huber

2018

Transp Porous Med

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We present gravimetrical and optical imaging experiments on the capillarity-driven imbibition of silicone oils in monolithic silica glasses traversed by 3D networks of pores (mesoporous Vycor glass with 6.5 nm or 10 nm pore diameters). As evidenced by a robust square-root-of-time Lucas-Washburn (L-W) filling kinetics, the capillary rise is governed by a balance of capillarity and viscous drag forces in the absence of inertia and gravitational effects over the entire experimental times studied, ranging from a few seconds up to 10 days. A video on the infiltration process corroborates a collective pore filling as well as pronounced imbibition front broadening resulting from the capillarity and permeability disorder, typical of Vycor glasses. The transport process is analyzed within a Darcy scale description, considering a generalized pre-factor of the L-W law, termed Lucas-Washburn-Darcy imbibition ability. It assumes a Hagen-Poiseuille velocity profile in the pores and depends on the porosity, the mean pore diameter, the tortuosity and the velocity slip length and thus on the effective hydraulic pore diameter. For both matrices a reduced imbibition speed and thus reduced imbibition ability, compared to the one assuming the nominal pore diameter, bulk fluidity and bulk capillarity, can be quantitatively traced to an immobile, pore-wall adsorbed boundary layer of 1.4 nm thickness. Presumably, it consists of a monolayer of water molecules adsorbed on the hydrophilic pore walls covered by a monolayer of flat-laying silicone oil molecules. Our study highlights the importance of immobile nanoscopic boundary layers on the flow in tight oil reservoirs as well as the validity of the Darcy scale description for transport in mesoporous media.

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“…[ [21]. Also applying chain-like or more generally spoken polymeric fluids seems to facilitate the occurrence of slip at the fluid-solid interface [55] [48].…”

Section: Introductionmentioning

confidence: 99%

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Gruener

Huber

2018

Transp Porous Med

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“…Despite these complexities, the average position of the front h(t) during a purely spontaneous imbibition evolves as h(t) ∼t 1/2 , known as Lucas-Washburn law [3,14,15]. This scaling behavior is valid down to nanoscopic pore scales [16][17][18].…”

mentioning

confidence: 99%

Scaling Theory for Spontaneous Imbibition in Random Networks of Elongated Pores

Sadjadi

Rieger

2013

Phys. Rev. Lett.

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We present a scaling theory for the long time behavior of spontaneous imbibition in porous media consisting of interconnected pores with a large length-to-width ratio. At pore junctions, the meniscus propagation in one or more branches can come to a halt when the Laplace pressure of the meniscus exceeds the hydrostatic pressure within the junction. We derive the scaling relations for the emerging arrest time distribution and show that the average front width is proportional to the height, yielding a roughness exponent of exactly β = 1/2 and explaining recent experimental results for nanoporous Vycor glass. Extensive simulations of a pore network model confirm these predictions.

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“…In spite of the diversity of actual porous media, the √ t scaling law, which results macroscopically from the balance between a constant driving capillary force and an increasing viscous drag, is ubiquitously observed. In fact, it appears that the LW relationship holds down to the nanoscopic scale, as shown by recent experimental 10,11 and theoretical studies [13][14][15][16][17][18] . This of course is an important indication for the development of nanofluidic devices.…”

Section: Introductionmentioning

confidence: 90%

Spontaneous Imbibition in Disordered Porous Solids: A Theoretical Study of Helium in Silica Aerogels

et al. 2011

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We present a theoretical study of spontaneous imbibition of liquid (4)He in silica aerogels focusing on the effect of porosity on the fluid dynamical behavior. We adopt a coarse-grained three-dimensional lattice-gas description like in previous studies of gas adsorption and capillary condensation and use a dynamical mean-field theory, assuming that capillary disorder predominates over permeability disorder as in recent phase-field models of spontaneous imbibition. Our results reveal a remarkable connection between imbibition and adsorption as also suggested by recent experiments. The imbibition front is always preceded by a precursor film, and the classical Lucas-Washburn √t scaling law is generally recovered, although some deviations may exist at large porosity. Moreover, the interface roughening is modified by wetting and confinement effects. Our results suggest that the interpretation of the recent experiments should be revised.

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Peak Effect in Polycrystalline Vortex Matter

Cited by 26 publications

References 26 publications

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Scaling Theory for Spontaneous Imbibition in Random Networks of Elongated Pores

Spontaneous Imbibition in Disordered Porous Solids: A Theoretical Study of Helium in Silica Aerogels

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