Abstract This paper examines the Marangoni instability of a self-rewetting film coating on a vertical heated fibre and its modulation by chemical reactions. A single evolution equation based on the classic thin-film model is derived to study the flow dynamics. Linear stability analysis shows that without chemical reactions, wall heating plays a stabilizing role when T i > T 0 ( T i is the interfacial temperature and T 0 is the temperature corresponding to the minimum of surface tension in self-rewetting fluids), and it plays a destabilizing role when T i T 0 . However, chemical reactions can strongly modulate how the wall heating affects the flow dynamics. For both situations ( T i > T 0 or T i T 0 ), the endothermic reaction further enhances respective Marangoni effects, and the exothermic reaction suppresses respective Marangoni effects. In particular, a strong exothermic reaction can totally neutralize and even reverse Marangoni effects. These findings are further confirmed by performing nonlinear traveling wave solutions and transient numerical simulations.

中文翻译：

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由沿垂直纤维流下的化学反应调节的自再润湿薄膜的 Marangoni 不稳定性

摘要 本文研究了垂直加热纤维上自再润湿薄膜涂层的 Marangoni 不稳定性及其通过化学反应的调节。推导出基于经典薄膜模型的单一演化方程来研究流动动力学。线性稳定性分析表明，在没有化学反应的情况下，当T i > T 0 时，壁面加热起稳定作用（T i 为界面温度，T 0 为自润湿流体中表面张力最小值对应的温度），并且当 T i T 0 时起不稳定作用。然而，化学反应可以强烈地调节壁加热如何影响流动动力学。对于两种情况（T i > T 0 或T i T 0 ），吸热反应进一步增强了各自的马兰戈尼效应，放热反应抑制了各自的马兰戈尼效应。特别是，强烈的放热反应可以完全中和甚至逆转 Marangoni 效应。通过执行非线性行波解和瞬态数值模拟进一步证实了这些发现。