DOI: 10.1063/5.0164035 ISSN:

Fractal interface of a spreading drop and maximum entropy production principle

Leonid M. Martyushev, Lev L. Martyushev
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes
  • Mechanics of Materials
  • Computational Mechanics
  • Mechanical Engineering

The viscous spreading of a small liquid drop on a surface, where moving interface changes from circular to fractal, starting at a certain size, is considered. Based on the maximum entropy production principle, the analytical relation between the critical size of the morphological stability of a circular drop and the fractal dimension of the structure that appears during spreading is obtained for the first time. An experiment on the spreading of ink on a surface covered with acrylic paint quantitatively confirmed the validity of this relation.

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