Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations
| Title: | Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations |
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| Authors: | Careaga, Julio, Korevaar, Peter A., Nikolić, Vanja, Scarabosio, Laura |
| Publication Year: | 2024 |
| Collection: | Nonlinear Sciences Physics (Other) |
| Subject Terms: | Physics - Fluid Dynamics, Nonlinear Sciences - Adaptation and Self-Organizing Systems, 65N06, 76T20, 76B45, G.1.8, G.1.10 |
| More Details: | Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combined with the production and depletion of surfactants at different locations of source and drains, out-of-equilibrium surface tension gradients can be sustained, resulting in Marangoni flow patterns that drive e.g., self-organization of amphiphile myelin assemblies. Here, a mathematical model based on the thin-film equations is proposed to simulate these flow patterns. The model equations are based on the surfactant source and drain concentrations, film-height and surfactant bulk concentration. We present a numerical scheme for approximating the model equations and discuss the numerically observed properties of the model. Comment: 8 Figures |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2407.11868 |
| Accession Number: | edsarx.2407.11868 |
| Database: | arXiv |
| Description not available. |