Thermocapillary flow instabilities of medium Prandtl number liquid in rotating annular pools

Thermocapillary flow instabilities of medium Prandtl number liquid in rotating annular pools
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旋转环形池中普朗特数中等液体的热毛细管流动不稳定性

DOI:
10.1016/j.ijthermalsci.2017.06.016
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发表时间:
2017-10
影响因子:
4.5
通讯作者:
Ermakov Michael K.
Ermakov Michael K.
中科院分区:
工程技术2区
文献类型:
--
作者:
Li Han-Ming;Shi Wan-Yuan;Ermakov Michael K.

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研究了介质普朗特数液体(Pr= 6.7)在沿逆时针方向旋转的环形池中热毛细流动的线性稳定性。通过线性稳定性分析确定了不稳定开始的中性雷诺数,并通过能量收支分析了潜在的机制。在广泛的泰勒数范围内,预测了不同宽高比下的四种振荡不稳定性。能量收支表明,所有不稳定性基本由中等大prandtl数液体的热液波不稳定性机制驱动。池的旋转影响基本流,使扰动以不同的方式接收能量。当系统开始旋转时,轴对称稳态热毛细流在所有长径比下都因热液波不稳定性(I型)而变得不稳定。当泰勒数超过一定的阈值时,缓慢的旋转使基本流不稳定,而快速的旋转使基本流稳定。当泰勒数较大时,随着展弦比的增大,两种流动不稳定性(II型和III型)依次发生。而IV型在a = 0.25层的泰勒数范围介于I型和II型之间。后三种振荡分岔发生的临界雷诺数均随泰勒数的增加而增加。
The linear stability of thermocapillary flow for a medium Prandtl number liquid (Pr= 6.7) is investigated in the annular pools rotating along counterclockwise direction. The neutral Reynolds numbers for the incipience of instabilities are determined by linear stability analysis and the underlying mechanisms are analyzed by energy budgets. Four types of oscillatory instabilities are predicted for different aspect ratios over a wide range of Taylor number. The energy budgets reveal that all the instabilities are basically driven by the hydrothermal wave instability mechanism of moderately large-Prandtl-number liquid. The pool rotation influences the basic flow and enables the disturbances to receive energy in different ways. When the system rotation is initiated, the axisymmetric steady thermocapillary flow becomes unstable typically by a hydrothermal wave instability (type I) for all aspect ratios. The slow rotation destabilizes the basic flow whereas the fast rotation stabilizes it when the Taylor number exceeds a certain threshold value. For large Taylor numbers, two types of flow instabilities (types II and III) occur in sequence with increasing aspect ratio. While type IV arises in a range of Taylor number between those of the type I and type II for the layer ofA= 0.25. The critical Reynolds numbers for the onset of the later three oscillatory bifurcations all increase with increasing Taylor number.
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