Rates of spontaneous movement of water in capillary tubes

Jeje, Ayodeji

doi:10.1016/0021-9797(79)90131-0

Cited by 32 publications

(24 citation statements)

References 18 publications

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“…Indeed, the initial velocity due to Eq. [1] is infinite, in obvious contradiction with high-resolution observations (1,2,6,7,(15)(16)(17)(18)(19)(20)(21). Miller and Tyomkin, who designed a number of instruments and suggested various methods for studying spontaneous uptake experimentally, have come to the ultimate conclusion that the LW equation is inapplicable for various fibrous materials (22)(23)(24).…”

Section: The Lucas-washburn Noninertial Kinetics Of Uptakementioning

confidence: 92%

“…Dynamic contact angle effects and associated problems of meniscus formation are also neglected. These problems are poorly understood, yet existing practice (1,15,17) shows that the time of meniscus formation is much less than the time scale under consideration. Although beyond the main scope of this paper, the question will be briefly addressed under Discussion.…”

Section: Paper Outlinementioning

confidence: 97%

“…The flow visualization experiments and measurements of the rate of liquid uptake are restricted mainly to the channels of simplest geometries, the Hele-Shaw cells (21), and axisymmetric capillaries (1,6,17,19,20). The results of these observations are summarized in Table 1.…”

Section: Experimental Observationsmentioning

confidence: 98%

“…Even in such a limit, the equation contains an extra term, which is determined by the flow pattern outside the capillary inlet. This term can be treated as a reaction force of the outside fluid [17] or the "net rate at which positive momentum flows in" the capillary (30). (See also (31-33) for historical review of various approaches to treatment of systems with variable mass.…”

Section: Derivation Of the Basic Model For A Single Capillarymentioning

confidence: 99%

See 3 more Smart Citations

Spontaneous Penetration of Liquids into Capillaries and Porous Membranes Revisited

Kornev

Neimark

2001

Journal of Colloid and Interface Science

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Section: The Lucas-washburn Noninertial Kinetics Of Uptakementioning

confidence: 92%

Section: Paper Outlinementioning

confidence: 97%

Section: Experimental Observationsmentioning

confidence: 98%

Section: Derivation Of the Basic Model For A Single Capillarymentioning

confidence: 99%

See 2 more Smart Citations

Spontaneous Penetration of Liquids into Capillaries and Porous Membranes Revisited

Kornev

Neimark

2001

Journal of Colloid and Interface Science

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“…The change of contact angle with increase of water level [7,8], the moment of inertia [9], and the effect of gravity [10], have all been ignored and provide the basis of the controversy over the Washburn equation. After experiments with various surfactant solutions, Hodgson and Berg [11] found that liquids obey the Washburn theory despite the limitations mentioned above.…”

Section: Ln(l) = Ln(c) +Kln(t) …………………… (12)mentioning

confidence: 99%

Analysis of water absorbency into knitted spacer structures

Dias

Delkumburewatte

2010

Journal of the Textile Institute

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The absorbency properties of knitted structures are very important in designing garments that both remove liquid sweat from the skin and provide tactile and sensorial comfort to the wearer. Water absorbency by knitted spacer structures was experimentally investigated using a gravimetric absorbency tester to record absorbency rate, total absorbency, and time taken to saturate the structure. The geometry of spacer structures was analyzed and a model created to define the capillary characteristic in the spacer yarn.Absorbency into the spacer structures was modeled using the fabric parameters, the capillary radius, and the properties of water. Experimental and theoretical results were compared to validate the models.

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Kinetics of gravity‐driven slug flow in partially wettable capillaries of varying cross section

Nissan

Wang

Wallach

2016

Water Resources Research

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A mathematical model for slug (finite liquid volume) motion in not‐fully‐wettable capillary tubes with sinusoidally varying cross‐sectional areas was developed. The model, based on the Navier‐Stokes equation, accounts for the full viscous terms due to nonuniform geometry, the inertial term, the slug's front and rear meniscus hysteresis effect, and dependence of contact angle on flow velocity (dynamic contact angle). The model includes a velocity‐dependent film that is left behind the advancing slug, reducing its mass. The model was successfully verified experimentally by recording slug movement in uniform and sinusoidal capillary tubes with a gray‐scale high‐speed camera. Simulation showed that tube nonuniformity has a substantial effect on slug flow pattern: in a uniform tube it is monotonic and depends mainly on the slug's momentary mass/length; an undulating tube radius results in nonmonotonic flow characteristics. The static nonzero contact angle varies locally in nonuniform tubes owing to the additional effect of wall slope. Moreover, the nonuniform cross‐sectional area induces slug acceleration, deceleration, blockage, and metastable‐equilibrium locations. Increasing contact angle further amplifies the geometry effect on slug propagation. The developed model provides a modified means of emulating slug flow in differently wettable porous media for intermittent inlet water supply (e.g., raindrops on the soil surface).

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Rates of spontaneous movement of water in capillary tubes

Cited by 32 publications

References 18 publications

Spontaneous Penetration of Liquids into Capillaries and Porous Membranes Revisited

Spontaneous Penetration of Liquids into Capillaries and Porous Membranes Revisited

Analysis of water absorbency into knitted spacer structures

Kinetics of gravity‐driven slug flow in partially wettable capillaries of varying cross section

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