2019
DOI: 10.1140/epje/i2019-11896-5
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Effect of surface-active contaminants on radial thermocapillary flows

Abstract: 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 i… Show more

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Cited by 17 publications
(14 citation statements)
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“…In this section we present an analytical model we have developed to explain our simulations and experimental results. Similar configurations have been analytically analyzed 34 for an air-oil system. In that case, the effect of surfactants is much weaker (oil is a non-polar fluid).…”
Section: Discussionmentioning
confidence: 93%
“…In this section we present an analytical model we have developed to explain our simulations and experimental results. Similar configurations have been analytically analyzed 34 for an air-oil system. In that case, the effect of surfactants is much weaker (oil is a non-polar fluid).…”
Section: Discussionmentioning
confidence: 93%
“…In the case of a particle straddling an interface the key parameter for the particle drag is the particle contact angle which determine the partition between the two fluids with different viscosities [6]. Hydrodynamics can also be used to treat the situation when surface active species are present at the interface; a relatively high surface concentration of such species confers specific surface viscosities to the interface and changes the flow boundary conditions (BC) [7] [8]. Even tiny quantity of such species may dramatically affect the BC as recently predicted [9].…”
Section: Introductionmentioning
confidence: 99%
“…In order to understand this behavior, we visualize the surface excess concentration fields around the particles and revert once more to dimensional analysis. As compared to the clean interface, we need to introduce two additional dimensionless groups: a surface Péclet number, defined Pe s ¼ VR=D s , where D s is the surface diffusion coefficient, and the ratio between solutal and thermal Marangoni stresses, Π ¼ βΔT=ðδΓ 0 Þ [46]. Since the surface diffusion coefficient can easily be 2 orders of magnitude lower than the thermal diffusion coefficient [47], the transition Pe s ≃ 1 happens at a correspondingly lower ΔT, for which the surface excess concentration field starts to deviate significantly from the diffusion-dominated regime.…”
mentioning
confidence: 99%