Thermocapillary Convection Instability in Shallow Annular Pools by Linear Stability Analysis

Thermocapillary Convection Instability in Shallow Annular Pools by Linear Stability Analysis
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通过线性稳定性分析研究浅环形水池中的热毛细管对流不稳定性

DOI:
10.1007/s10948-010-0661-8
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发表时间:
2010-01
影响因子:
1.8
通讯作者:
Imaishi, Nobuyuki
Imaishi, Nobuyuki
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Shi, Wanyuan;Liu, Xi;Li, Guoyuan;Li, You-Rong;Peng, Lan;Ermakov, Michael K.;Imaishi, Nobuyuki

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数值研究了普朗特数为0.011~57.9时,外壁差热、内壁冷却的浅环形水池中的热毛细对流不稳定性。通过线性稳定性分析,确定了振荡流启动的临界Marangoni数(Mc)、临界方位波数(MC)和临界相速度(ωc)。结果表明,当Pr≤为15.9时,Mc随Pr数的增加而急剧增加,而在Pr=23.9和α57.9时,随Pr数的增加略有增加。C和ω随Pr数的增加而减小。
The thermocapillary convection instability in shallow annular pools with Prandtl numbersá(Pr) from 0.011 toá57.9, differentially heated at the outer wall and cooled at the inner wall, is investigated numerically. The critical Marangoni numbersá(Mac), critical azimuthal wave numbers (mc) and critical phase velocities (ωc) for the incipience of oscillatory flow are determined by linear stability analysis. The results indicate that theMacincreases steeply with increase ofPrnumber whenPr≤15.9, while it increases slightly with increase ofPrbetweenPr=23.9 andá57.9. Themcandωcdecrease with increase ofPrnumber.
DOI: 10.1007/s12217-009-9118-8
发表时间: 2009-05
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