Universal Thinning of Liquid Filaments under Dominant Surface Forces

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 $F(Θ)\,(3μ_s + κ_s)/σ$, where $μ_s$ and $κ_s$ are the surface shear and dilatational viscosity coefficients, $σ$ is the interfacial tension, $Θ=κ_s/μ_s$, and $F(Θ)$ is a universal function. The potential use of this phenomenon to measure the surface viscosity coefficients is discussed.

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