Proceedings (Sep 2017)

Analytical Calculation of Falling Droplets from Cylindrical Capillaries

  • Sebastian Hummel,
  • Martin Bogner,
  • Michael Haub,
  • Joachim Sägebarth,
  • Hermann Sandmaier

DOI
https://doi.org/10.3390/proceedings1040284
Journal volume & issue
Vol. 1, no. 4
p. 284

Abstract

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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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