Hydrodynamic response of a surfactant-laden interface to a radial flow
arXiv:1909.13540 · doi:10.1103/PhysRevFluids.4.124002
Abstract
We study the features of a radial Stokes flow due to a submerged jet directed toward a liquid-air interface. The presence of surface-active impurities confers to the interface an in-plane elasticity that resists the incident flow. Both analytical and numerical calculations show that a minute amount of surfactants is enough to profoundly alter the morphology of the flow. The hydrodynamic response of the interface is affected as well, shifting from slip to no-slip boundary condition as the surface compressibility decreases. We argue that the competition between the divergent outward flow and the elastic response of the interface may actually be used as a practical way to detect and quantify a small amount of impurities.
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Cited by in corpus (7)
- Azimuthal instability of the radial thermocapillary flow around a hot bead trapped at the water-air interface
- On the shear-driven surfactant layer instability
- Surfactant-driven instability of a divergent flow
- Competition between thermocapillary and solutocapillary flows in thin liquid films
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- Stokes equation in a semi-infinite region: generalization of Lamb solution and applications to Marangoni flows
- Exact solutions for viscous Marangoni spreading