On the extent of surface stagnation produced jointly by insoluble surfactant and thermocapillary flow

Shmyrov, Andrey; Мизев, А. И.; Demin, V. A.; Petukhov, M.; Bratsun, Dmitry

doi:10.1016/j.cis.2017.08.010

Cited by 11 publications

(20 citation statements)

References 19 publications

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“…Previously, we have shown (Shmyrov et al. 2018) that the surface velocity in this area, although significantly reduced, is not equal to zero. Slight leakage of fluid through the surfactant film is retained.…”

Section: Numerical Studymentioning

confidence: 50%

“…Based on these experimental measurements, we have suggested (see Shmyrov et al. (2018)) another analytical solution for (3.18), where is the dimensionless surface temperature at . Since the relationship between the temperature and the -coordinate is still linear, solution (3.25) also satisfies (3.18) and all of the appropriate boundary conditions (3.19)–(3.22).…”

Section: Asymptotic Theorymentioning

confidence: 99%

“…However, Shmyrov et al. (2018) have shown that the solution of (3.24) for temperature cannot be realized in practice. The point is that at there is a separate stagnant region bounded on one side by the point and on the other by the cold side wall at .…”

Section: Asymptotic Theorymentioning

confidence: 99%

“…In the first part of the paper, we describe the experiment focused on the achievement of a controlled temperature distribution on the surface. The second part is devoted to the analytical study of the formulated problem based on the same approach as in Carpenter & Homsy (1985) but taking into account the fresh data obtained in the first part (Shmyrov et al 2018); in particular, a more complicated equation of state of the surfactant. The results of numerical simulation, in particular, the distribution of the velocity and concentration of the surfactant on the surface, as well as the temperature and velocity distribution in the volume are given as well.…”

Section: Introductionmentioning

confidence: 99%

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Phase transitions on partially contaminated surface under the influence of thermocapillary flow

et al. 2019

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We study, both experimentally and theoretically, the fluid flow driven by a thermocapillary effect applied to a partially contaminated interface in a two-dimensional slot of finite extent. The contamination is due to the presence of an insoluble surfactant which is convected by the flow forming a stagnant zone by the colder edge of the interface. The thermocapillary surface stress is produced by a special optocapillary system, which makes it possible, first, to get an almost linear temperature profile along the interface and, second, to apply a surface pressure large enough to force the surfactant to experience a phase transition to a more condensed state. This enabled us for the first time since the release of the paper by Carpenter & Homsy (J. Fluid Mech., vol. 155, 1985, pp. 429–439) to test experimentally their theoretical predictions and obtain new results for the case when the contamination exists simultaneously in two phase states within the interface. We show that one part of the surface is free of surfactant and subject to vigorous thermocapillary flow, while another part is stagnant and subject to creeping flow with a surface velocity which is approximately two orders of magnitude smaller. We found that the extent of the stagnant zone theoretically predicted earlier does not coincide with the newly obtained experimental data. In this paper, we suggest analytical and numerical solutions for the position of the edge of the stagnation zone, which are in perfect agreement with the experimental data.

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Section: Numerical Studymentioning

confidence: 50%

Section: Asymptotic Theorymentioning

confidence: 99%

Section: Asymptotic Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase transitions on partially contaminated surface under the influence of thermocapillary flow

et al. 2019

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“…Also, arbitrary liquid depths have not yet received much consideration. We thus intend to pursue previous theoretical works, that were mainly focused on 2D configurations in the shallow-water limit [23][24][25]. Here, the distribution of insoluble surfactants is characterized in both deep and shallow water configurations.…”

Section: Introductionmentioning

confidence: 99%

Effect of surface-active contaminants on radial thermocapillary flows

Bickel

2019

Eur. Phys. J. E

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We study the thermocapillary creeping flow induced by a thermal gradient at the liquid-air interface in the presence of insoluble surfactants (impurities). Convective sweeping of the surfactants causes density inhomogeneities that confers in-plane elastic features to the interface. This mechanism is discussed for radially symmetric temperature fields, in both the deep and shallow water regimes. When mass transport is controlled by convection, it is found that surfactants are depleted from a region whose size is inversely proportional to the interfacial elasticity. Both the concentration and the velocity fields follow power laws at the border of the depleted region. Finally, it is shown that this singular behavior is smeared out when molecular diffusion is accounted for.

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Localization of Melt Components in a Crucible as a Result of Inserting Anisothermic Rod with Non-wettable Boundaries

Demin

Мизев

Petukhov

et al. 2019

Microgravity Sci. Technol.

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On the extent of surface stagnation produced jointly by insoluble surfactant and thermocapillary flow

Cited by 11 publications

References 19 publications

Phase transitions on partially contaminated surface under the influence of thermocapillary flow

Phase transitions on partially contaminated surface under the influence of thermocapillary flow

Effect of surface-active contaminants on radial thermocapillary flows

Localization of Melt Components in a Crucible as a Result of Inserting Anisothermic Rod with Non-wettable Boundaries

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