Tropfenbildung

Eggers, Jens

doi:10.1002/phbl.19970530509

Cited by 11 publications

(4 citation statements)

References 7 publications

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“…The surfactant solution droplet remains attached to the capillary due to surface tension, until, as fluid continues to flow in, its mass becomes too large and it separates from the capillary. After the droplet first begins to neck down, surface tension causes the necking to proceed rapidly until the droplet is nearly spherical and connected to the capillary via a conical-shaped fluid element [16]. The separation of the droplet is accompanied by the formation of satellite droplets.…”

Section: The Dripping Process At the Capillary Tipmentioning

confidence: 99%

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Adsorption Behavior of Nonionic Surfactants Studied by Drop Volume Technique

Teipel

Aksel²

2001

Chem. Eng. Technol.

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Section: The Dripping Process At the Capillary Tipmentioning

confidence: 99%

“…DV separation u Á A cap Á t separation (16) These two different volumes must both be considered when determining the surface or interfacial tension. …”

Section: The Dripping Process At the Capillary Tipmentioning

confidence: 99%

Adsorption Behavior of Nonionic Surfactants Studied by Drop Volume Technique

Teipel

Aksel²

2001

Chem. Eng. Technol.

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“…Instead, a neck is formed that grows longer and narrower and finally separates the falling main part of the drop and the part remaining at the capillary. Still connected to the fluid in the capillary, the drop forms an ellipsoid comparable to a water-filled rubber balloon held at its nozzle (47,48). After separation, this main drop oscillates during free fall owing to tension forces and momentum conservation.…”

Section: Detachment Of a Hanging Dropmentioning

confidence: 99%

Axisymmetric Liquid Hanging Drops

Latychevskaia¹,

Meister²

2006

J. Chem. Educ.

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The formation of liquid drops delivered from a circular capillary has found application in drop-volume tensiometers ranging from the early stalagmometer to more recent computer-controlled instruments. Although the phenomenon of drop formation can be observed daily, it is rarely discussed in detail in physics or chemistry teaching courses. The aim of this work is to provide an understanding about the buildup of axially symmetric hanging drops, starting from the Young–Laplace equation and the governing differential equation. Drop shapes that are common for all liquids and capillary dimensions are obtained by numerical integration of the dimensionless differential equation. The growing of drops is discussed in terms of changing geometrical quantities such as drop volume, height, surface area, and contact angle to the capillary. A diagram is presented that shows the existence of three different drop shape types at respective values of capillary size and relative drop volume. Accurate geometrical properties are presented for the drop with maximum height and that with maximum volume and diameter. The historical hypothesis of Lohnstein, who suggested a method to calculate the ratio of the critical hanging volume to the falling volume in the drop separation process, is evaluated. Finally, critical volumes are shown as a function of capillary size and compared with falling and residual volumes that have been calculated using a recommended correction function.

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“…In this phase new effects according to the equations of Young-Laplace and Bernoulli are acting on the droplet. Eggers [6] presented an approach to estimate the necking time t which can be confirmed by the Buckingham π theorem. This approach will be used in this phase supplemented with an experimental correction factor k = 10:…”

Section: Conservation Of Momentummentioning

confidence: 99%

Analytical Calculation of Falling Droplets from Cylindrical Capillaries

Hummel

Bogner

Haub

et al. 2017

Proceedings of Eurosensors 2017, Paris, France, 3–6 September 2017

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Existing investigations to estimate different properties of falling droplets are based on empirical data or complex mathematical approaches. This paper presents a new simple analytical approach to calculate selected properties of droplets, in particular the volume and frequency of falling droplets, out of a thin vertical cylindrical capillary. The fluid-reservoir is located above the capillary and provides a constant flow into the droplet. This leads to drop formation times less than one second. The results of the calculation are validated by numerical simulations and experiments.

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Tropfenbildung

Cited by 11 publications

References 7 publications

Adsorption Behavior of Nonionic Surfactants Studied by Drop Volume Technique

Adsorption Behavior of Nonionic Surfactants Studied by Drop Volume Technique

Axisymmetric Liquid Hanging Drops

Analytical Calculation of Falling Droplets from Cylindrical Capillaries

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