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Thermocapillary Flow Instabilities in a Rotating Annular Pool for Moderate-Prandtl-number Fluid

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Abstract

The linear stability of thermocapillary flow in a rotating annular pool at intermediate Prandtl number (Pr = 1.4) was studied over a wide range of rotation rate. The critical Marangoni number for the onset of flow instability was determined using linear stability analysis based on the spectral element method. The results indicate that the pool rotation can stabilize the thermocapillary flow and affect the instability mechanism. Specially, three bifurcations were observed with increasing Marangoni number when the rotation rate is small, and this peculiar phenomenon is believed to be the competition result of the inertial instability mechanism and the thermocapillary mechanism. Moreover, the steady axisymmetric basic flow was found to be extraordinarily stable in a certain range of rotation rate.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 11572062).

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Authors and Affiliations

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

    Hao Liu & Zhong Zeng

  2. Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing, 400044, China

    Hao Liu, Zhong Zeng, Linmao Yin & Yao Xiao

  3. Chongqing Southwest Research Institute for Water Transport Engineering, Chongqing Jiaotong University, Chongqing, 400016, China

    Hao Liu & Zhouhua Qiu

Authors
  1. Hao Liu
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  2. Zhong Zeng
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  3. Zhouhua Qiu
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  4. Linmao Yin
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  5. Yao Xiao
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Correspondence to Zhong Zeng.

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Highlights

1. The spectral element method ensure the higher accuracy of the present results.

2. Effect of rotation on thermocapillary flow instability is numerically studied.

3. For small rotation rate, three bifurcation points were observed with the increase of Marangoni number.

4. A strongly stable region was found.

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Liu, H., Zeng, Z., Qiu, Z. et al. Thermocapillary Flow Instabilities in a Rotating Annular Pool for Moderate-Prandtl-number Fluid. Microgravity Sci. Technol. 33, 12 (2021). https://doi.org/10.1007/s12217-020-09847-3

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  • DOI: https://doi.org/10.1007/s12217-020-09847-3

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