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Transitions of the Thermocapillary Flow in a Liquid Bridge under the Effect of Non-uniform Rotating Magnetic Field

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Abstract

In this study, a linear stability analysis (LSA) based on a spectral element method and three-dimensional numerical simulations based on the finite volume method are applied to investigate the transition of the thermocapillary flow in a liquid bridge under the external non-uniform rotating magnetic field (NRMF). The Taylor number (Ta) characterising the strength of the NRMF varies from 0 to 1.5 × 104 and the magnetic Reynolds number is fixed at Reω = 2.2 × 104. The LSA results reveal different transitional behaviours of the thermocapillary flow with increasing Taylor number for various Marangoni number (Ma) regimes. For the Ma ranging from 21.07 to 26.6, with the increase of Ta, the thermocapillary flow will undergo three transitions: firstly from a three-dimensional oscillatory flow (with an azimuthal wavenumber k = 2) to an axisymmetric steady flow, then from the axisymmetric steady flow back to an oscillatory flow (k = 1), and finally to an axisymmetric steady flow again. While, beyond that, the thermocapillary flow only occurs one transition from a three-dimensional oscillatory flow (either k = 2 or k = 1) to an axisymmetric steady one. And for the Ma < 18.98, the thermocapillary flow remains axisymmetric and steady over the range of the Taylor numbers considered in this paper. In addition, the corresponding results of three-dimensional numerical simulations based on FVM support the LSA results.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11402215 and No. 11572062), the Fundamental Research Funds for the Central Universities (Grant No. XDJK2019B060), and the Chongqing Natural Science Foundation (Grant No. cstc2014jcyjA00013).

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Authors and Affiliations

  1. College of Engineering and Technology, Southwest University, Chongqing, 400715, P. R. China

    Liping Yao

  2. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, 400044, P. R. China

    Liping Yao & Zhong Zeng

  3. College of Aerospace Engineering, Chongqing University, Chongqing, 400044, P. R. China

    Zhong Zeng & Liangqi Zhang

  4. Chongqing Southwest Research Institute for Water Transport Engineering, Chongqing Jiaotong University, Chongqing, 400016, P. R. China

    Hao Liu

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  1. Liping Yao
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Correspondence to Zhong Zeng.

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Yao, L., Zeng, Z., Liu, H. et al. Transitions of the Thermocapillary Flow in a Liquid Bridge under the Effect of Non-uniform Rotating Magnetic Field. Microgravity Sci. Technol. 33, 69 (2021). https://doi.org/10.1007/s12217-021-09919-y

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