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arXiv · 1709.03858

Thermal rupture of a free liquid sheet

Georgy Kitavtsev·Marco A. Fontelos·Jens Eggers
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Abstract

We consider a free liquid sheet, taking into account the dependence of surface tension on temperature, or concentration of some pollutant. The sheet dynamics are described within a long-wavelength description. In the presence of viscosity, local thinning of the sheet is driven by a strong temperature gradient across the pinch region, resembling a shock. As a result, for long times the sheet thins exponentially, leading to breakup. We describe the quasi one-dimensional thickness, velocity, and temperature profiles in the pinch region in terms of similarity solutions, which posses a universal structure. Our analytical description agrees quantitatively with numerical simulations.

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Georgy Kitavtsev, Marco A. Fontelos, Jens Eggers. 2017-09-12. Thermal rupture of a free liquid sheet. https://doi.org/10.1017/jfm.2018.74

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