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Adherence and bouncing of liquid droplets impacting on dry surfaces

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Abstract

The paper explores liquid drop dynamics over a solid surface, focusing on adherence and bouncing phenomena. The study relies on detailed interface tracking simulations using the Level Set approach incorporated within a Navier–Stokes solver. The investigation deals with moderate Reynolds number droplet flows, for which two-dimensional axisymmetric simulations can be performed. The modelling approach has been validated against experiments for axisymmetric and full three-dimensional impact upon dry surfaces. A drop-impact regime map is generated for axisymmetric conditions, in which the impact dynamics is characterized as a function of Weber number and equilibrium contact angle, based on about 60 simulations. The detailed simulations also helped validate a new mechanistic model based on energy-balance analysis, delimiting the boundary between adherence and bouncing zones at low Weber numbers. The mechanistic model is only valid for moderate droplet Reynolds numbers and it complements existing models for higher Reynolds numbers.

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Abbreviations

g i :

gravity

u i :

velocity vector

a lg :

liquid–gas area

a sl :

solid–liquid area

A lg :

liquid–gas area

d:

re-distance function

n i :

surface normal vector

s i :

surface tension

V :

droplet volume

R :

droplet radius

Re :

Reynolds number

We :

Weber number

η:

viscosity

ρ:

density

κ:

surface curvature

γ:

surface tension coefficient

σ:

viscous stress

θ:

equilibrium contact angle

δI :

interface Dirac delta function

ϕ:

Level Set

τ:

pseudo time

lg:

liquid–gas

ls:

liquid–solid

sg:

solid–gas

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Acknowledgements

The authors are thankful to Dr R. Roberts (CHEVRON, USA) for the fruitful discussions on the subject.

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Authors and Affiliations

  1. ASCOMP GmbH, Technoparkstrasse 1, 8005, Zurich, Switzerland

    D. Caviezel, C. Narayanan & D. Lakehal

Authors
  1. D. Caviezel
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  2. C. Narayanan
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  3. D. Lakehal
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Correspondence to D. Lakehal.

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Caviezel, D., Narayanan, C. & Lakehal, D. Adherence and bouncing of liquid droplets impacting on dry surfaces. Microfluid Nanofluid 5, 469–478 (2008). https://doi.org/10.1007/s10404-007-0248-2

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  • DOI: https://doi.org/10.1007/s10404-007-0248-2

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