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Thermal Marangoni-driven dynamics of spinning liquid films

Joshua A. Dijksman1, Shomeek Mukhopadhyay2, Robert P. Behringer3, and Thomas P. Witelski4

  • 1Physical Chemistry and Soft Matter, Wageningen University & Research, Wageningen, The Netherlands
  • 2Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06511, USA
  • 3Department of Physics & Center for Nonlinear and Complex Systems, Duke University, Box 90305, Durham, North Carolina 27708-0305, USA
  • 4Department of Mathematics, Duke University, Box 90320, Durham, North Carolina 27708-0320, USA

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Phys. Rev. Fluids 4, 084103 – Published 19 August, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.084103

Abstract

Thinning dynamics in spin coating of viscous films is influenced by many physical processes. Temperature gradients are known to affect thin liquid films through their influence on the local fluid surface tension as Marangoni stresses. We show here experimentally and numerically that adding a static temperature gradient has a significant effect on the equilibrium film thickness and height profile reached in spin coating. Most notably, we find that the thickness of the resulting thin film in spin coating scales linearly with the strength of the thermal surface tension gradient. Once equilibrated, the thin film height profile is controlled by the temperature profile. For small but nonnegligible Marangoni number (Ma) the surface has a negative curvature at the center and reaching equilibrium takes progressively longer with smaller Ma. In this limit, the steady state reached is set by competition between Marangoni effects and the disjoining pressure.

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Phys. Rev. Fluids 4, 084103– Published 19 August, 2019
  • Received 27 June 2018
Article part of CHORUS
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