Retraction of thin films coated by insoluble surfactants
Resumen: We investigate the retraction of a circular thin film coated with insoluble surfactants, which is punctured at its centre. We assume that the surface pressure of the liquid-gas interface is related to the number density of surfactants through a linear equation of state, which is characterized by a single parameter: the Gibbs dilation modulus. To solve the governing equations and track the deformation of the domain, we use the finite element method with an arbitrary Lagrangian-Eulerian approach where the film surface is sharp. Our simulations show that the surface elasticity introduced by the surfactants slows down the retraction and introduces oscillations at early times. In agreement with previous experiments and theoretical analysis, we find that the presence of surfactants introduces perturbations of the film thickness over progressively larger distances as the surface elasticity increases. The surface perturbations travel faster than the retracting edge of the film at a speed proportional to the Gibbs modulus. For large values of the Gibbs modulus, the interface behaviour approaches that of an incompressible two-dimensional solid. Our analysis sheds light on the effect of insoluble surfactants on the opening of a circular hole in a thin film and can be extended to investigate the onset of surface cracks and fractures. © 2022 Authors
Idioma: Inglés
DOI: 10.1017/jfm.2022.412
Año: 2022
Publicado en: JOURNAL OF FLUID MECHANICS 942 (2022), [24 pp.]
ISSN: 0022-1120

Factor impacto JCR: 3.7 (2022)
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 6 / 34 = 0.176 (2022) - Q1 - T1
Categ. JCR: MECHANICS rank: 37 / 137 = 0.27 (2022) - Q2 - T1

Factor impacto CITESCORE: 6.5 - Engineering (Q1) - Mathematics (Q1) - Physics and Astronomy (Q1)

Factor impacto SCIMAGO: 1.409 - Applied Mathematics (Q1) - Mechanics of Materials (Q1) - Mechanical Engineering (Q1) - Condensed Matter Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/ICJ2018-035270-I
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-113033GB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.


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