Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910529711243264 |
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| author | Careaga, Julio Korevaar, Peter A. Nikolić, Vanja Scarabosio, Laura |
| author_facet | Careaga, Julio Korevaar, Peter A. Nikolić, Vanja Scarabosio, Laura |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_11868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations Careaga, Julio Korevaar, Peter A. Nikolić, Vanja Scarabosio, Laura Fluid Dynamics Adaptation and Self-Organizing Systems 65N06, 76T20, 76B45 G.1.8; G.1.10 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. |
| title | Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations |
| topic | Fluid Dynamics Adaptation and Self-Organizing Systems 65N06, 76T20, 76B45 G.1.8; G.1.10 |
| url | https://arxiv.org/abs/2407.11868 |