Thermal rupture of a free liquid sheet

Author: 

Kitavtsev, G
Fontelos, M
Eggers, J

Publication Date: 

10 April 2018

Journal: 

Journal of Fluid Mechanics

Last Updated: 

2019-06-24T10:31:04.913+01:00

Volume: 

840

DOI: 

10.1017/jfm.2018.74

page: 

555-578

abstract: 

<jats:p>We consider a free liquid sheet, taking into account the dependence of surface tension on the 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.</jats:p>

Symplectic id: 

847087

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article