Thermal rupture of a free liquid sheet

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.

References in corpus (3)

• Axisymmetric bubble pinch-off at high Reynolds numbers
• The break-up of free films pulled out of a pure liquid bath
• Asymptotic decay and non-rupture of viscous sheets

Cited by in corpus (2)

• Droplet ejection by electrowetting actuation
• Asymptotic decay and non-rupture of viscous sheets