Effects of Surface Viscosity on Breakup of Viscous Threads

Pinch-off of a surfactant-covered jet

“…2018) must asymptotically always involve inertia, a major goal of this paper is to extend the results of Wee et al. (2020) to situations in which inertia is present.…”

“…The algorithm is based on the use of the G/FEM for spatial discretization and the same adaptive, implicit finite difference method as in the 3DA algorithm described above for time integration. Similar versions of this algorithm have already been used to solve 1-D evolution equations in analysing the breakup of liquid bridges and jets with and without surfactants and the dripping of leaky faucets (Zhang, Padgett & Basaran 1996;Ambravaneswaran & Basaran 1999;Ambravaneswaran, Phillips & Basaran 2000;Ambravaneswaran, Wilkes & Basaran 2002;Ambravaneswaran et al 2004;Liao et al 2006;Subramani et al 2006;Wee et al 2020).…”

“…In a couple of appendices, we also elucidate the consequences of adopting a nonlinear as opposed to a linear constitutive equation for relating surface viscosity to surfactant concentration and analyse the effect of initial conditions on surfactant concentration in capillary thinning of jets. It should be noted that consideration of these latter two topics as well as accounting for inertia and solving the 2-D as well as the 1-D system of equations governing capillary thinning as opposed to only the 1-D slender-jet equations differentiate the present paper from the recent publication by Wee et al (2020).…”

“…Martínez-Calvo & Sevilla (2018) have shown that surface viscosities have a stabilizing influence on the dynamics in the Rayleigh-Plateau instability of liquid jets covered with a monolayer of insoluble surfactant. Wee et al (2020) have analysed the breakup of a surfactant-covered jet undergoing Stokes flow. Since it is now well known that jet breakup when the interface is either clean (Eggers 1993;Lister & Stone 1998;Basaran 2002;Eggers 2005;Castrejón-Pita et al 2015;Li & Sprittles 2016) or covered with surfactants but where surface rheological effects are absent (Liao et al 2006;Kamat et al 2018) must asymptotically always involve inertia, a major goal of this paper is to extend the results of Wee et al (2020) to situations in which inertia is present.…”

“…Wee et al. (2020) have analysed the breakup of a surfactant-covered jet undergoing Stokes flow. Since it is now well known that jet breakup when the interface is either clean (Eggers 1993; Lister & Stone 1998; Basaran 2002; Eggers 2005; Castrejón-Pita et al.…”