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Experiments in Fluids

, 59:162 | Cite as

Crown behavior during a concentric collision of a falling droplet onto a sessile droplet

  • Mostafa Abouelsoud
  • Xing Li
  • Leqin Peng
  • Bofeng Bai
Research Article

Abstract

This paper reported experimental observations of the splashing morphology and the crown behavior of concentric impact between a falling droplet and a sessile droplet on a glass surface. To control the initial shape of the sessile droplet, we used two syringe pumps, to generate the sessile droplet by pumping the liquid through a holed glass substrate, and to produce the falling droplet, respectively. Both of the two droplets had the same liquid of ethylene glycol. Our experimental cases covered a wide range of the impact Weber number (i.e., We = 270–1500) and four different volume ratios of the sessile to the falling droplets (i.e., Vs/Vf = 1.5, 2.7, 4.3, and 5.7). It is found that the crown had a bowl shape, which it differs from the crown shape of the impact onto a uniform liquid film. We investigated the crown wall break-up phenomena, which occurs when the Weber number is higher than 964. Both of the upper diameter and the height of the crown were quantitatively analyzed, and fitted correlations were derived successfully for both of them.

List of symbols

Df

The falling droplet diameter (mm)

Dfh

The horizontal diameter of the falling droplet (mm)

Dfv

The vertical diameter of the falling droplet (mm)

u

The impact velocity (m/s)

V

The liquid volume (µL)

t

The time (s)

We

Weber number

h

The crown height (mm)

dup

The crown upper diameter (mm)

dl

The crown lower diameter (mm)

d

T he average diameter of the crown holes

H

The non-dimensional crown height (−)

Dup

The non-dimensional crown upper diameter (−)

hs

The maximum thickness of the sessile droplet (mm)

Ds

The diameter of the sessile droplet (mm)

Greek letters

ρ

Density (kg/m3)

σ

Surface tension (N/m)

τ

Non-dimensional time (−)

δ

Non-dimensional maximum thickness of the sessile droplet (−)

Subscripts

f

The falling droplet

s

The sessile droplet

up

The upper rim of the crown

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China for Distinguished Young Scientists (51425603). The authors appreciate the helpful discussion with Dr. Zhengyuan Luo from State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University.

Supplementary material

348_2018_2619_MOESM1_ESM.avi (2.1 mb)
Supplementary material 1 (AVI 2195 KB)

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Mostafa Abouelsoud
    • 1
    • 2
  • Xing Li
    • 1
  • Leqin Peng
    • 1
  • Bofeng Bai
    • 1
  1. 1.State Key Laboratory of Multiphase Flow in Power EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.Mechanical engineering department, Faculty of engineeringSouth Valley UniversityQenaEgypt

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