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Proceedings 2017, 1(4), 284;

Analytical Calculation of Falling Droplets from Cylindrical Capillaries

University of Stuttgart/Chair Microsystems, Pfaffenwaldring 4F, 70569 Stuttgart, Germany
Presented at the Eurosensors 2017 Conference, Paris, France, 3–6 September 2017.
Author to whom correspondence should be addressed.
Published: 7 September 2017
(This article belongs to the Proceedings of Eurosensors 2017)
PDF [319 KB, uploaded 7 September 2017]


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.
Keywords: drop; hanging droplet; falling droplet; capillary; simulation; OpenFOAM drop; hanging droplet; falling droplet; capillary; simulation; OpenFOAM
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hummel, S.; Bogner, M.; Haub, M.; Sägebarth, J.; Sandmaier, H. Analytical Calculation of Falling Droplets from Cylindrical Capillaries. Proceedings 2017, 1, 284.

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