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 possess a universal structure. Our analytical description agrees quantitatively with numerical simulations.
Original language | English |
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Pages (from-to) | 555-578 |
Number of pages | 24 |
Journal | Journal of Fluid Mechanics |
Volume | 840 |
Early online date | 18 Feb 2018 |
DOIs | |
Publication status | Published - 10 Apr 2018 |
Keywords
- interfacial flows (free surface)
- microfluidics
- slender-body theory