Nonlinear Dynamics of the Film of an Insoluble Surfactant During the Relaxation to Equilibrium

Demin, V. A.; Petukhov, M. I.; Shmyrov, Andrey; Shmyrova, Anastasia

doi:10.1615/interfacphenomheattransfer.2020035273

Cited by 2 publications

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“…In [7,8,24,25], analysis of the one-dimensional motion of the film on the surface between the wide boundaries of the vertical Hele-Shaw cell made it possible to solve the problem with a mobile insoluble surfactant in full statement, taking into account both thermo-and concentration capillary mechanisms at the interface. This approach provided the opportunity to study the time evolution of the longitudinal deformation of a film.…”

Section: Problem Statementmentioning

confidence: 99%

“…The numerical solution by Demin and Petukhov [25] gave the results similar to those obtained experimentally and provided an opportunity to describe the behavior of a surfactant in a wide range of governing parameters. In [7,8], the dynamics of such a surfactant was studied during the relaxation process performed to achieve a uniform distribution after the heating stops. It was demonstrated that the surfactant film, propagating along the free surface, behaves itself in an appreciably nonlinear manner.…”

Section: Introductionmentioning

confidence: 99%

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Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film

Demin¹,

Petukhov²

2022

Math. Model. Nat. Phenom.

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Numerical study is devoted to the spatial transformations of a radially symmetric flow in the liquid, filling a shallow cylindrical cavity covered partially by a solid non-deformable film. The upper part of liquid has a free surface in the center of which a beam of light produces the hot dot. The heating generates a divergent thermocapillary motion along the free surface after that the liquid flows under the immovable solid film. The edge of this film induces the perturbations into the current. At definite values of heat generation these perturbations begin to increase and cause the radial flow symmetry breakdown that visually leads to the origin of the vorticity in azimuthal plane. Three-dimensional calculations have been fulfilled on the base of interfacial hydrodynamics equations using mathematical package “Comsol Multiphysics”. The motion in azimuthal direction becomes more evident with the growth of heating intensity. There is a predominantly radial flow in the region with the free surface. At the same time, the vortices with azimuthal component of velocity are observed under the film. As in experiment, the proportion of free surface area to the covered one determines the number of vortices in azimuthal plane.

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Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film

Demin¹,

Petukhov²

2022

Math. Model. Nat. Phenom.

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Free Surface Deformations of the Horizontal Liquid Film Heated From the Substrate Side, Experiment and Numerical Simulation

Mungalov

Kochkin

Kabov

et al. 2023

Interfac Phenom Heat Transfer

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This paper is devoted to experimental and numerical studies of deformations of the thin silicone oil PDMS-100 film locally heated from below. The configuration of the synthetic Schlieren method based on reflection is used to visualize the free surface. It was found that the formation of thermocapillary depressions was preceded by a liquid bump. The nature of this phenomenon caused by thermal expansion of the liquid was explained for the first time using the volume-of-fluid numerical method.

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Nonlinear Dynamics of the Film of an Insoluble Surfactant During the Relaxation to Equilibrium

Cited by 2 publications

References 0 publications

Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film

Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film

Free Surface Deformations of the Horizontal Liquid Film Heated From the Substrate Side, Experiment and Numerical Simulation

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