Pattern formation due to oscillatory Marangoni instability in a thin film heated from below is studied. We focus on the stability of patterns that are produced by nonlinear interaction of two standing waves propagating at the angle ϕ between the wave vectors. We provide weakly nonlinear analysis within the amplitude equations, which govern the evolution of the layer thickness and the characteristic temperature. This leads to a set of four complex Landau equations that govern the evolution of wave amplitudes. The coefficients of Landau equations, which define pattern formation, have been calculated in a wide range of governing parameters. Stable traveling rectangles and alternating rolls on a rhombic lattice are detected.
Marangoni patterns on a rhombic lattice in a thin film heated from below
Note: This paper is part of the Special Topic, Interfaces and Mixing, and Beyond.
Anna E. Samoilova, Alexander Nepomnyashchy; Marangoni patterns on a rhombic lattice in a thin film heated from below. Physics of Fluids 1 January 2021; 33 (1): 014101. https://doi.org/10.1063/5.0032901
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