Effect of the Prandtl number on the instabilities of the thermocapillary flow in an annular pool

This paper is devoted to the instability mechanisms of the thermocapillary flow in an annular pool. The stability limit of the axisymmetric basic state was studied over a wide range of Prandtl numbers (0.001 ≤ Pr ≤ 6.7) using linear stability analysis based on the spectral element method. The result...

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Bibliographic Details
Published in:Physics of fluids (1994) 2019-03, Vol.31 (3)
Main Authors: Liu, Hao, Zeng, Zhong, Yin, Linmao, Qiu, Zhouhua, Zhang, Liangqi
Format: Article
Language:English
Subjects:
Axisymmetric flow
Flow stability
Fluid dynamics
Oscillating flow
Physics
Prandtl number
Spectral element method
Stability analysis
Steady flow
Thermocapillary flow
Three dimensional flow
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Summary:This paper is devoted to the instability mechanisms of the thermocapillary flow in an annular pool. The stability limit of the axisymmetric basic state was studied over a wide range of Prandtl numbers (0.001 ≤ Pr ≤ 6.7) using linear stability analysis based on the spectral element method. The results demonstrate five types of instabilities, and the corresponding instability mechanisms were revealed by disturbance energy analysis. In particular, in the narrow range 1.4 ≤ Pr ≤ 1.53, with the increase in the Marangoni number, three transitions between the axisymmetric steady flow and the three-dimensional oscillatory flow were found, owing to the coupling and interaction of the hydrodynamic and hydrothermal instability mechanisms.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5087113