A model for thermocapillary driven motion of liquid drops on an inclined plane
Thermocapillary drop migration is driven by surface tension gradient. On an inclined plane, gravity acts as an additional force that can have a promoting or resisting effect depending on the thermal gradient direction. The present 2-D model extends Brochard and Chebbi models for thermocapillary migr...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724000892 |
| _version_ | 1797215918018789376 |
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| author | Rachid Chebbi |
| author_facet | Rachid Chebbi |
| author_sort | Rachid Chebbi |
| collection | DOAJ |
| description | Thermocapillary drop migration is driven by surface tension gradient. On an inclined plane, gravity acts as an additional force that can have a promoting or resisting effect depending on the thermal gradient direction. The present 2-D model extends Brochard and Chebbi models for thermocapillary migration of small drops on horizontal plates by accounting for Marangoni and Poiseuille flow components, while including the effect of gravity, acting in the case of inclines. The present treatment is based on fundamentals of conservation of mass and momentum transport, and uses the lubrication approximation and extended boundary conditions at the receding and advancing contact lines. A model for the dynamics of migration is provided, and an analytical solution is derived for drop migration dynamics and the critical angle of inclination. |
| first_indexed | 2024-04-24T11:37:42Z |
| format | Article |
| id | doaj.art-cc2ad1cb9906428a96bf4ca4d1a0200c |
| institution | Directory Open Access Journal |
| issn | 2666-2027 |
| language | English |
| last_indexed | 2024-04-24T11:37:42Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj.art-cc2ad1cb9906428a96bf4ca4d1a0200c2024-04-10T04:29:29ZengElsevierInternational Journal of Thermofluids2666-20272024-05-0122100647A model for thermocapillary driven motion of liquid drops on an inclined planeRachid Chebbi0Department of Chemical and Biological Engineering, American University of Sharjah, Sharjah, UAEThermocapillary drop migration is driven by surface tension gradient. On an inclined plane, gravity acts as an additional force that can have a promoting or resisting effect depending on the thermal gradient direction. The present 2-D model extends Brochard and Chebbi models for thermocapillary migration of small drops on horizontal plates by accounting for Marangoni and Poiseuille flow components, while including the effect of gravity, acting in the case of inclines. The present treatment is based on fundamentals of conservation of mass and momentum transport, and uses the lubrication approximation and extended boundary conditions at the receding and advancing contact lines. A model for the dynamics of migration is provided, and an analytical solution is derived for drop migration dynamics and the critical angle of inclination.http://www.sciencedirect.com/science/article/pii/S2666202724000892DropMigrationInclineModelThermal gradientMarangoni effect |
| spellingShingle | Rachid Chebbi A model for thermocapillary driven motion of liquid drops on an inclined plane International Journal of Thermofluids Drop Migration Incline Model Thermal gradient Marangoni effect |
| title | A model for thermocapillary driven motion of liquid drops on an inclined plane |
| title_full | A model for thermocapillary driven motion of liquid drops on an inclined plane |
| title_fullStr | A model for thermocapillary driven motion of liquid drops on an inclined plane |
| title_full_unstemmed | A model for thermocapillary driven motion of liquid drops on an inclined plane |
| title_short | A model for thermocapillary driven motion of liquid drops on an inclined plane |
| title_sort | model for thermocapillary driven motion of liquid drops on an inclined plane |
| topic | Drop Migration Incline Model Thermal gradient Marangoni effect |
| url | http://www.sciencedirect.com/science/article/pii/S2666202724000892 |
| work_keys_str_mv | AT rachidchebbi amodelforthermocapillarydrivenmotionofliquiddropsonaninclinedplane AT rachidchebbi modelforthermocapillarydrivenmotionofliquiddropsonaninclinedplane |