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Take Off of Small Leidenfrost Droplets

Franck Celestini, Thomas Frisch, and Yves Pomeau
Phys. Rev. Lett. 109, 034501 – Published 19 July 2012
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Abstract

We put in evidence the unexpected behavior of Leidenfrost droplets at the later stage of their evaporation. We predict and observe that, below a critical size Rl, the droplets spontaneously take off due to the breakdown of the lubrication regime. We establish the theoretical relation between the droplet radius and its elevation. We predict that the vapor layer thickness increases when the droplets become smaller. A satisfactory agreement is found between the model and the experimental results performed on droplets of water and of ethanol.

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  • Received 16 March 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.034501

© 2012 American Physical Society

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The Physics of Droplets Takes Off

Published 19 July 2012

High-speed camera studies show the detailed behavior of liquid droplets bouncing and eventually shooting off of a hot surface.

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Authors & Affiliations

Franck Celestini1, Thomas Frisch2, and Yves Pomeau3

  • 1Laboratoire de Physique de la Matière Condensée, CNRS UMR 7366, Université de Nice Sophia-Antipolis, Parc Valrose 06108 Nice Cedex 2, France
  • 2Institut Non Linéaire de Nice, CNRS UMR 7735, Université de Nice Sophia-Antipolis, 1361 Routes des lucioles, Sophia Antipolis F-06560 Valbonne France
  • 3University of Arizona, Department of Mathematics, Tucson, Arizona 85721 USA

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Vol. 109, Iss. 3 — 20 July 2012

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  • Figure 1
    Figure 1
    Experimental set-up. A cloud of submillimetric droplets is rained toward a silicon wafer inserted in a copper bloc kept at a controlled temperature T1. The droplet of radius R is at temperature T0 and at a distance h from the substrate.Reuse & Permissions
  • Figure 2
    Figure 2
    Top: Pictures of a Leidenfrost droplet and its reflected image on the silicon wafer. Bottom: Height of the droplet as a function of time. After being dropped, it first bounces and lands on the substrate. The droplet then stands on the substrate in the lubrication regime. It finally takes off from the substrate.Reuse & Permissions
  • Figure 3
    Figure 3
    Dimensionless height of the droplets as a function of their radii. The full line is a best fit to Eq. (6). Note that a minority of droplets fall back on the substrate. This is certainly due to dust contamination. The same data are represented in the inset but in log-log. The dotted line indicates the value of Rl for water Leidenfrost droplets on a substrate kept at T=400 °C.Reuse & Permissions
  • Figure 4
    Figure 4
    Dimensionless height of ethanol droplets as a function of R. The substrate is kept at T=400 °C. The same data are represented in the inset but in log-log. The full line corresponds to the scaling law predicted in Eq. (6).Reuse & Permissions
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