Experiments and simulation of the growth of droplets on a surface (breath figures)

Daniela Fritter, Charles M. Knobler, and Daniel A. Beysens
Phys. Rev. A 43, 2858 – Published 1 March 1991
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Abstract

Detailed experiments are reported of the growth of droplets when water vapor condenses from a saturated carrier gas onto a hydrophobic plane substrate. We have investigated the effects of the carrier-gas flow velocity, the nature of the gas, the experimental geometry, and heat transfer through the substrate. Individual drops grow according to a power law with exponent μ=1/3. At high flow velocities, the temperature of the substrate can rise significantly, which lowers the condensation rate and leads to lower apparent growth-law exponents. A self-similar regime is reached when droplets interact by coalescences. The coalescences continuously rescale the pattern, produce spatial correlations between the droplets, and accelerate the growth, leading to a power law with an exponent μ0=3μ. The experiments are compared to predictions of scaling laws and to simulations.

  • Received 31 May 1990

DOI:https://doi.org/10.1103/PhysRevA.43.2858

©1991 American Physical Society

Authors & Affiliations

Daniela Fritter and Charles M. Knobler

  • Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90024

Daniel A. Beysens

  • Service de Physique du Solide et de Résonance Magnétique, Direction des Sciences de la Matière, Centre d’Etudes Nucléaires de Saclay, 91191 Gif-sur-Yvette CEDEX, France

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Vol. 43, Iss. 6 — March 1991

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