Qiulin Li, Shiliang Zhou, Shicheng Li, Jinchao He, Hao Liu
{"title":"旋转磁场对液桥中热毛细管流动不稳定性的影响","authors":"Qiulin Li, Shiliang Zhou, Shicheng Li, Jinchao He, Hao Liu","doi":"10.1007/s12217-024-10098-9","DOIUrl":null,"url":null,"abstract":"<div><p>The stability of thermocapillary flow in a liquid bridge under a transverse rotating magnetic field (RMF) was numerically investigated by the linear stability analysis using the spectral element method. Three commonly used RMF models, namely, the infinite model, the simplified finite model and the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, are employed to describe the RMF and their results are compared. Additionally, for the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, the uniform and non-uniform RMF were also compared. The numerical results show that with the increase of magnetic Taylor number <i>Ta</i>, the critical Marangoni number (<i>Ma</i><sub><i>c</i></sub>) for the three RMF models increases firstly, then decreases sharply to a minimum, finally increases again when the RMF is strong enough to suppress the radial and axial convection induced by thermocapillary force. Two transitions between the wavenumber <i>k=</i>1 and <i>k=</i>2 mode are observed with increasing <i>Ta</i>. The results obtained by the simplified finite model are in good agreement with those of the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, however, the infinite model has a significant deviation compared to the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model. Besides, the results indicate that the non-uniform RMF has a relatively weak action compared with the uniform RMF.</p></div>","PeriodicalId":707,"journal":{"name":"Microgravity Science and Technology","volume":"36 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effect of Rotating Magnetic Field on the Thermocapillary Flow Instability in a Liquid Bridge\",\"authors\":\"Qiulin Li, Shiliang Zhou, Shicheng Li, Jinchao He, Hao Liu\",\"doi\":\"10.1007/s12217-024-10098-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The stability of thermocapillary flow in a liquid bridge under a transverse rotating magnetic field (RMF) was numerically investigated by the linear stability analysis using the spectral element method. Three commonly used RMF models, namely, the infinite model, the simplified finite model and the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, are employed to describe the RMF and their results are compared. Additionally, for the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, the uniform and non-uniform RMF were also compared. The numerical results show that with the increase of magnetic Taylor number <i>Ta</i>, the critical Marangoni number (<i>Ma</i><sub><i>c</i></sub>) for the three RMF models increases firstly, then decreases sharply to a minimum, finally increases again when the RMF is strong enough to suppress the radial and axial convection induced by thermocapillary force. Two transitions between the wavenumber <i>k=</i>1 and <i>k=</i>2 mode are observed with increasing <i>Ta</i>. The results obtained by the simplified finite model are in good agreement with those of the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model, however, the infinite model has a significant deviation compared to the <i>Φ</i><sub>1</sub>-<i>Φ</i><sub>2</sub> model. Besides, the results indicate that the non-uniform RMF has a relatively weak action compared with the uniform RMF.</p></div>\",\"PeriodicalId\":707,\"journal\":{\"name\":\"Microgravity Science and Technology\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Microgravity Science and Technology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12217-024-10098-9\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, AEROSPACE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Microgravity Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s12217-024-10098-9","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}
Effect of Rotating Magnetic Field on the Thermocapillary Flow Instability in a Liquid Bridge
The stability of thermocapillary flow in a liquid bridge under a transverse rotating magnetic field (RMF) was numerically investigated by the linear stability analysis using the spectral element method. Three commonly used RMF models, namely, the infinite model, the simplified finite model and the Φ1-Φ2 model, are employed to describe the RMF and their results are compared. Additionally, for the Φ1-Φ2 model, the uniform and non-uniform RMF were also compared. The numerical results show that with the increase of magnetic Taylor number Ta, the critical Marangoni number (Mac) for the three RMF models increases firstly, then decreases sharply to a minimum, finally increases again when the RMF is strong enough to suppress the radial and axial convection induced by thermocapillary force. Two transitions between the wavenumber k=1 and k=2 mode are observed with increasing Ta. The results obtained by the simplified finite model are in good agreement with those of the Φ1-Φ2 model, however, the infinite model has a significant deviation compared to the Φ1-Φ2 model. Besides, the results indicate that the non-uniform RMF has a relatively weak action compared with the uniform RMF.
期刊介绍:
Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity.
Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges).
Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are:
− materials science
− fluid mechanics
− process engineering
− physics
− chemistry
− heat and mass transfer
− gravitational biology
− radiation biology
− exobiology and astrobiology
− human physiology