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<p>The behavior of a system composed of two superposed thin liquid films on a solid substrate under modulated heating is investigated theoretically. The linear stability of the examined system is studied by applying a longwave lubrication approximation, and the resulting equations are analyzed. The system’s stability maps were plotted based on different parameter sets. The numerical analysis reveals oscillatory and monotonic modes of instability existing in the absence of heat modulation, as well as subharmonic and higher resonant modes. Such parametric instability modes can often become the most unstable for moderate modulation. At the same time, for modes that exist without heat modulation, in particular, monotonic ones, the intense heat modulation is shown to have a stabilizing role in many cases.</p>

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Parametric Excitation of Marangoni Oscillations in a Two-layer Film by Heating Modulation

  • 期刊论文

  • 发表日期：

    2025年11月3日

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  • Grigoriy Khilko,
  • Alexander Nepomnyashchy

摘要

The behavior of a system composed of two superposed thin liquid films on a solid substrate under modulated heating is investigated theoretically. The linear stability of the examined system is studied by applying a longwave lubrication approximation, and the resulting equations are analyzed. The system’s stability maps were plotted based on different parameter sets. The numerical analysis reveals oscillatory and monotonic modes of instability existing in the absence of heat modulation, as well as subharmonic and higher resonant modes. Such parametric instability modes can often become the most unstable for moderate modulation. At the same time, for modes that exist without heat modulation, in particular, monotonic ones, the intense heat modulation is shown to have a stabilizing role in many cases.