Rayleigh-Taylor instability of viscous liquid films under a temperature-controlled inclined substrate

نویسندگان

چکیده

A liquid film flowing under an inclined substrate exhibits the well-known Rayleigh-Taylor instability. Here we show, using long-wave theory and stability analysis, that this instability can be modulated by adjusting temperature. In particular, derive analytically two critical (composite) Marangoni numbers delineating stable, convectively unstable, absolutely unstable regions, which is also verified numerical solutions of full evolution equation.

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ژورنال

عنوان ژورنال: Physical review fluids

سال: 2021

ISSN: ['2469-9918', '2469-990X']

DOI: https://doi.org/10.1103/physrevfluids.6.064001