Three-dimensional dynamics of falling films in the presence of insoluble surfactants

Batchvarov, Assen; Kahouadji, Lyes; Constante-Amores, C. R.; Gonçalves, G.F.N.; Shin, Seungwon; Chergui, Jalel; Jurić, Damir; Matar, Omar

doi:10.1017/jfm.2020.796

Cited by 10 publications

(11 citation statements)

References 37 publications

(110 reference statements)

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“…We use this example to show more complex and regular shape of waves and also as a validation comparing to experimental work of Park and Nosoko [32]. This configuration has also been investigated by Sheid et al [34], Dietze et al [17,18], and recently in Batchvarov et al [9], where similar patterns were observed. Thus, we focus on the latest snapshot and perform a fast Fourier transform (FFT) on its interface shape.…”

Section: Resultssupporting

confidence: 52%

“…Therefore, we restrict the domain size x × y × z to a minimum periodic domain encompassing only a single wave. The idea is to set the interface with an initial perturbation in both the streamwise and the spanwise directions (a similar approach was used by Batchvarov et al [9] and Dietze et al [18]) with the following formulation:…”

Section: Resultsmentioning

confidence: 99%

“…Finally, Yu et al [41], Xie et al [38] and Adebayo et al [1] have used an algebraic VOF formulation combined with an unstructured, anisotropic and adaptive meshes. Recently, Batchvarov et al [9] performed the first three-dimensional computational study of vertical falling films in the presence of insoluble surfactants, interfacial active-agents, using similar configurations proposed by Dietze et al [18]. Both studies [9,18] have set a numerical domain restricted to only a single wave with periodic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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A numerical investigation of three-dimensional falling liquid films

et al. 2022

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In this article, we present a full three-dimensional numerical study of thin liquid films falling on a vertical surface, by solving the full three-dimensional Navier–Stokes equations with a hybrid front-tracking/level-set method for tracking the interface. General falling film flow applications span across many types of process industries but also occur in a multitude of natural and environmental applications such as ice sheets, glaciology and even volcanic lava flows. In this study, we propose three configurations of falling films. Two of them, with small and moderate Reynolds number, are set to mimic pulsed and forced falling film types inside a minimum periodic domain, able to cover entirely the temporal evolution of a single wave. The latest example, corresponding to a high Reynolds number, is initialised with a flat interface without any specific perturbations. For the first time, this study highlights the natural transition from a non-deformed interface to its first streamwise disturbance (two-dimensional wavy flow), and then a second spanwise wave disturbance (three-dimensional wavy flow).

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Section: Resultssupporting

confidence: 52%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A numerical investigation of three-dimensional falling liquid films

et al. 2022

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“…Additionally, extensive mesh studies for capillary phenomena, using the same numerical method, had been previously reported (Batchvarov et al. 2020, 2021; Constante-Amores et al. 2020, 2021).…”

Section: Figure 12mentioning

confidence: 98%

Role of surfactant-induced Marangoni stresses in drop-interface coalescence

et al. 2021

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“…The computational domain is a cube with dimensions (5D) 3 resolved globally by a uniform grid of (786) 3 cells; see appendix of Constante-Amores et al (2021b) for details of mesh-refinement studies and validation of the numerical method. This method has also been widely tested for surfactant-laden flows (Shin et al 2018;Constante-Amores et al 2020a, 2021a, 2022Batchvarov et al 2021), and the numerical simulations in this study conserve fluid volume and surfactant mass with a relative error of less than 10 −3 %.…”

Section: Formulation and Numerical Methodsmentioning

confidence: 99%

Direct numerical simulations of turbulent jets: vortex–interface–surfactant interactions

et al. 2023

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We study the effect of insoluble surfactants on the spatio-temporal evolution of turbulent jets. We use three-dimensional numerical simulations and employ an interface-tracking/level-set method that accounts for surfactant-induced Marangoni stresses. The present study builds on our previous work (Constante-Amores et al., J. Fluid Mech., vol. 922, 2021, A6) in which we examined in detail the vortex–surface interaction in the absence of surfactants. Numerical solutions are obtained for a wide range of Weber and elasticity numbers in which vorticity production is generated by surface deformation and surfactant-induced Marangoni stresses. The present work demonstrates, for the first time, the crucial role of Marangoni stresses, brought about by surfactant concentration gradients, in the formation of coherent, hairpin-like vortex structures. These structures have a profound influence on the development of the three-dimensional interfacial dynamics. We also present theoretical expressions for the mechanisms that influence the rate of production of circulation in the presence of surfactants for a general, three-dimensional, two-phase flow, and highlight the dominant contribution of surfactant-induced Marangoni stresses.

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Three-dimensional dynamics of falling films in the presence of insoluble surfactants

Abstract: Abstract

Cited by 10 publications

References 37 publications

A numerical investigation of three-dimensional falling liquid films

A numerical investigation of three-dimensional falling liquid films

Role of surfactant-induced Marangoni stresses in drop-interface coalescence

Direct numerical simulations of turbulent jets: vortex–interface–surfactant interactions

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