Universal Thinning of Liquid Filaments under Dominant Surface Forces

Abstract

Theory and numerical simulations of the thinning of liquid threads at high superficial concentration of surfactants suggest the existence of an asymptotic regime where surface tension balances surface viscous stresses, leading to an exponential thinning with an $e$-fold time $F(\Theta )(3{\mu }_s+{\kappa }_s)/\sigma$, where ${\mu }_s$ and ${\kappa }_s$ are the surface shear and dilatational viscosity coefficients, $\sigma$ is the interfacial tension, $\Theta ={\kappa }_s/{\mu }_s$, and $F(\Theta )$ is a universal function. The potential use of this phenomenon to measure the surface viscosity coefficients is discussed.

6 pages, 3 figures. Published in Physical Review Letters

References in corpus (4)

• Temporal stability of free liquid threads with surface viscoelasticity
• Natural break-up and satellite formation regimes of surfactant-laden liquid threads
• Dynamics of growth and form in prebiotic vesicles
• Crawling in a fluid

Cited by in corpus (3)

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• Direct numerical simulations of turbulent jets: vortex-interface-surfactant interactions
• Role of surfactant-induced Marangoni stresses in drop-interface coalescence