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  • Letter
  • Open Access

Taylor dispersion in thin liquid films of volatile mixtures: A quantitative model for Marangoni contraction

O. Ramírez-Soto* and S. Karpitschka†

  • Max Planck Institute for Dynamics and Self-Organization (MPI-DS), Am Fassberg 17, 37077 Göttingen, Germany

  • *olinka.ramirez@ds.mpg.de
  • †stefan.karpitschka@ds.mpg.de
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Phys. Rev. Fluids 7, L022001 – Published 7 February, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.L022001

Abstract

The Marangoni contraction of sessile droplets occurs when a binary mixture of volatile liquids is placed on a high-energy surface. Although the surface is wetted completely by the mixture and its components, a quasistationary nonvanishing contact angle is observed. This seeming contradiction is caused by Marangoni flows that are driven by evaporative depletion of the volatile component near the edge of the droplet. Here, we show that the composition of such droplets is governed by Taylor dispersion, a consequence of diffusion and strong internal shear flow. We demonstrate that Taylor dispersion naturally arises in a self-consistent long-wave expansion for volatile liquid mixtures. Coupled to diffusion-limited evaporation, this model quantitatively reproduces not only the apparent shape of Marangoni-contracted droplets, but also their internal flows.

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Phys. Rev. Fluids 7, L022001– Published 7 February, 2022
  • Received 1 April 2021
  • Revised 8 November 2021
  • Accepted 11 January 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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