Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant
Marangoni patterns are created by instabilities caused by thermocapillary and solutocapillary stresses on the deformable free surface of a thin liquid layer. In the present paper, we consider the influence of the insoluble surfactant on the selection and modulational instability of stationary Marang...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Colloids and Interfaces |
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| Online Access: | https://www.mdpi.com/2504-5377/6/4/53 |
| _version_ | 1827641205017542656 |
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| author | Alexander B. Mikishev Alexander A. Nepomnyashchy |
| author_facet | Alexander B. Mikishev Alexander A. Nepomnyashchy |
| author_sort | Alexander B. Mikishev |
| collection | DOAJ |
| description | Marangoni patterns are created by instabilities caused by thermocapillary and solutocapillary stresses on the deformable free surface of a thin liquid layer. In the present paper, we consider the influence of the insoluble surfactant on the selection and modulational instability of stationary Marangoni patterns near their onset threshold. The basic governing parameters of the problem are the Biot number characterizing the heat-transfer resistances of and at the surface, the Galileo number indicating the role of gravity via viscous forces, and the elasticity number specifying the influence of insoluble surfactant on the interfacial dynamics of the liquid. The paper includes a review of the previous results obtained in that problem as well as new ones. |
| first_indexed | 2024-03-09T17:10:04Z |
| format | Article |
| id | doaj.art-2393e81f2a5f46a783283436d7f8677d |
| institution | Directory Open Access Journal |
| issn | 2504-5377 |
| language | English |
| last_indexed | 2024-03-09T17:10:04Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Colloids and Interfaces |
| spelling | doaj.art-2393e81f2a5f46a783283436d7f8677d2023-11-24T14:06:26ZengMDPI AGColloids and Interfaces2504-53772022-09-01645310.3390/colloids6040053Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble SurfactantAlexander B. Mikishev0Alexander A. Nepomnyashchy1Department of Engineering Technology, Sam Houston State University, Huntsville, TX 77341, USADepartment of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, IsraelMarangoni patterns are created by instabilities caused by thermocapillary and solutocapillary stresses on the deformable free surface of a thin liquid layer. In the present paper, we consider the influence of the insoluble surfactant on the selection and modulational instability of stationary Marangoni patterns near their onset threshold. The basic governing parameters of the problem are the Biot number characterizing the heat-transfer resistances of and at the surface, the Galileo number indicating the role of gravity via viscous forces, and the elasticity number specifying the influence of insoluble surfactant on the interfacial dynamics of the liquid. The paper includes a review of the previous results obtained in that problem as well as new ones.https://www.mdpi.com/2504-5377/6/4/53Marangoni convectioninstabilitysurfactant |
| spellingShingle | Alexander B. Mikishev Alexander A. Nepomnyashchy Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant Colloids and Interfaces Marangoni convection instability surfactant |
| title | Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant |
| title_full | Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant |
| title_fullStr | Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant |
| title_full_unstemmed | Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant |
| title_short | Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant |
| title_sort | marangoni patterns in a non isothermal liquid with deformable interface covered by insoluble surfactant |
| topic | Marangoni convection instability surfactant |
| url | https://www.mdpi.com/2504-5377/6/4/53 |
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