An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling
Due to various engineering applications, spontaneous bubble movement on the heated surface has brought huge attention. This work numerically studied the bubble migration driven by the thermo-capillary force under the temperature gradients perpendicular to the gravity direction. This problem is const...
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MDPI AG
2022-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/9/4355 |
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| author | Ranjith Kumar Yu-Chen Lin Chia-Wei Lin Ming-Chieh Lin Hua-Yi Hsu |
| author_facet | Ranjith Kumar Yu-Chen Lin Chia-Wei Lin Ming-Chieh Lin Hua-Yi Hsu |
| author_sort | Ranjith Kumar |
| collection | DOAJ |
| description | Due to various engineering applications, spontaneous bubble movement on the heated surface has brought huge attention. This work numerically studied the bubble migration driven by the thermo-capillary force under the temperature gradients perpendicular to the gravity direction. This problem is constructed in a two-dimensional domain, and the volume of fluid (VOF) method is adopted to capture the properties of the bubble interface between the vapor and the liquid. One still vapor bubble is initially positioned at the center of the liquid domain, and the temperature gradient is applied to two side walls. The results show that the bubble with a size greater than the capillary length can only oscillate near the initial position even with a larger temperature gradient. The deformation of the bubble such as spheroid and spherical cap can be found around this regime. However, the movement of the bubble with a size smaller than the capillary length is significant under a higher temperature gradient, and it remains a spherical shape. The coefficient of thermo-capillary force (<i>C</i><i><sub>Th</sub></i>) is defined within this work, and it is found that a larger Weber number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>W</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>) accomplishes a larger <i>C</i><i><sub>Th</sub></i>. This work may provide more precise guidance for smart bubble manipulation and critical heat flux estimation for future nuclear reactor design. |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:22:08Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-a0f00a8a5ce746569f56797cac1ddc3f2023-11-23T07:47:52ZengMDPI AGApplied Sciences2076-34172022-04-01129435510.3390/app12094355An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF ModelingRanjith Kumar0Yu-Chen Lin1Chia-Wei Lin2Ming-Chieh Lin3Hua-Yi Hsu4Department of Mechanical Engineering, National Taipei University of Technology, Taipei 10608, TaiwanSchool of Nuclear Engineering, Purdue University, West Lafayette, IN 47907, USADepartment of Mechanical Engineering, National Taipei University of Technology, Taipei 10608, TaiwanMultidisciplinary Computational Laboratory, Department of Electrical and Biomedical Engineering, Hanyang University, Seoul 04763, KoreaDepartment of Mechanical Engineering, National Taipei University of Technology, Taipei 10608, TaiwanDue to various engineering applications, spontaneous bubble movement on the heated surface has brought huge attention. This work numerically studied the bubble migration driven by the thermo-capillary force under the temperature gradients perpendicular to the gravity direction. This problem is constructed in a two-dimensional domain, and the volume of fluid (VOF) method is adopted to capture the properties of the bubble interface between the vapor and the liquid. One still vapor bubble is initially positioned at the center of the liquid domain, and the temperature gradient is applied to two side walls. The results show that the bubble with a size greater than the capillary length can only oscillate near the initial position even with a larger temperature gradient. The deformation of the bubble such as spheroid and spherical cap can be found around this regime. However, the movement of the bubble with a size smaller than the capillary length is significant under a higher temperature gradient, and it remains a spherical shape. The coefficient of thermo-capillary force (<i>C</i><i><sub>Th</sub></i>) is defined within this work, and it is found that a larger Weber number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>W</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>) accomplishes a larger <i>C</i><i><sub>Th</sub></i>. This work may provide more precise guidance for smart bubble manipulation and critical heat flux estimation for future nuclear reactor design.https://www.mdpi.com/2076-3417/12/9/4355bubblethermal-capillary forcesurface tensionvolume of fluid (VOF) |
| spellingShingle | Ranjith Kumar Yu-Chen Lin Chia-Wei Lin Ming-Chieh Lin Hua-Yi Hsu An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling Applied Sciences bubble thermal-capillary force surface tension volume of fluid (VOF) |
| title | An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling |
| title_full | An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling |
| title_fullStr | An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling |
| title_full_unstemmed | An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling |
| title_short | An Analysis of Bubble Migration in Horizontal Thermo-Capillarity Using the VOF Modeling |
| title_sort | analysis of bubble migration in horizontal thermo capillarity using the vof modeling |
| topic | bubble thermal-capillary force surface tension volume of fluid (VOF) |
| url | https://www.mdpi.com/2076-3417/12/9/4355 |
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