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Effect of Rotating Magnetic Field on the Thermocapillary Flow Instability in a Liquid Bridge

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Abstract

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.

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Funding

This work is supported by the National Key R&D Plan (Grant No. 2022YFC3800505), the Natural Science Foundation of Chongqing, China (Grant No. CSTB2022NSCQ-MSX1079), the Chongqing doctoral "through train" scientific research project (Grant No. CSTB2022BSXM-JCX0097), the Open Fund of Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education, Chongqing Jiaotong University (Grant No. SLK2023B16), and the Open Fund of Key Laboratory of Inland Waterway Regulation Engineering of the Ministry of Communications, Chongqing Jiaotong University (Grant Nos. KLIWRE2023B02 and KLIWRE2023B03).

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Authors and Affiliations

  1. Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education, Chongqing Jiaotong University, Chongqing, 400074, China

    Qiulin Li, Shiliang Zhou & Hao Liu

  2. Southwest Research Institute for Hydraulic and Water Transport Engineering, Chongqing Jiaotong University, Chongqing, 400074, China

    Qiulin Li, Shiliang Zhou, Jinchao He & Hao Liu

  3. Department of Civil and Architectural Engineering, KTH Royal Institute of Technology, 10044, Stockholm, Sweden

    Shicheng Li

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  1. Qiulin Li
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Qiulin Li and Shiliang Zhou wrote the main manuscript text, Shicheng Li and Jinchao He developed the codes, and Hao Liu provided Funding acquisition. All authors reviewed the manuscript.

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Correspondence to Shiliang Zhou or Hao Liu.

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Li, Q., Zhou, S., Li, S. et al. Effect of Rotating Magnetic Field on the Thermocapillary Flow Instability in a Liquid Bridge. Microgravity Sci. Technol. 36, 16 (2024). https://doi.org/10.1007/s12217-024-10098-9

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