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Thermocapillary Flow Instabilities in a Rotating Annular Pool for Moderate-Prandtl-number Fluid
Microgravity Science and Technology ( IF 1.8 ) Pub Date : 2021-01-20 , DOI: 10.1007/s12217-020-09847-3
Hao Liu , Zhong Zeng , Zhouhua Qiu , Linmao Yin , Yao Xiao

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.



中文翻译:

中等数量的流体在旋转环形池中的热毛细管流动不稳定性

 研究了在宽旋转速率范围内,在中间Prandtl数(Pr = 1.4)下旋转的环形池中热毛细管流的线性稳定性。使用基于谱元法的线性稳定性分析确定了流动不稳定开始的临界Marangoni数。结果表明,池旋转可稳定热毛细流并影响失稳机理。特别地,当转速小时,观察到三个分支,随着Marangoni数的增加,这种特殊现象被认为是惯性不稳定性机制和热毛细管机制的竞争结果。此外,发现稳定的轴对称基本流在一定的旋转速率范围内极其稳定。

更新日期:2021-01-20
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