2018
DOI: 10.1063/1.5021502
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Effective diffusion coefficient including the Marangoni effect

Abstract: Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle, enhancing diffusion. We analytically derive the effective diffusion coefficient associated with the Marangoni convection rolls. The resulting estimated effective diffusion coefficient is consistent with our numerical results and the apparent diffusion coefficient measured in experi… Show more

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Cited by 37 publications
(35 citation statements)
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“…Note that Refs. [80,81] suggest that in some situations the outcome of Marangoni flows is to renormalize the effective diffusivity of the surfactant. If applicable in our system, then such an equivalence would offer a very simple path to account for Marangoni effects within the point-source framework.…”
Section: Discussionmentioning
confidence: 99%
“…Note that Refs. [80,81] suggest that in some situations the outcome of Marangoni flows is to renormalize the effective diffusivity of the surfactant. If applicable in our system, then such an equivalence would offer a very simple path to account for Marangoni effects within the point-source framework.…”
Section: Discussionmentioning
confidence: 99%
“…As mentioned above, the simple model of evolution for camphor-propelled objects, that treats Marangoni flows by an effective diffusion constant, can qualitatively describe many observed phenomena [39][40][41] . However, this model is not applicable to the inversion of rotational direction under stop-and-release operations, because it does not treat separately the evolution of flows and the camphor surface concentration.…”
Section: Introductionmentioning
confidence: 99%
“…Here, we suggest that the gradient of the surface tension due to salinity concentration gradient at the interface between saltwater and air represents an additional driving force for moving solvent and salt particles. 36 The gradient of the surface tension along this interface creates tangential shear forces and, as a result, a slip velocity appears. Therefore, the saltwater solution is driven to flow from low surface tension towards higher one.…”
Section: Introductionmentioning
confidence: 99%