Influence of aspect ratio on the onset of thermocapillary flow instability in annular pool heated from inner wall

2019 ◽  
Vol 129 ◽  
pp. 746-752 ◽  
Author(s):  
Hao Liu ◽  
Zhong Zeng ◽  
Linmao Yin ◽  
Zhouhua Qiu ◽  
Long Qiao
Keyword(s):  
Aspect Ratio ◽  
Flow Instability ◽  
Thermocapillary Flow ◽  
Annular Pool

Slit Aspect Ratio Effect on Flow Instability and Heat Transfer Characteristics of Wavy Vortex Flow

2019 ◽  
Vol 44 (9) ◽  
pp. 7767-7777 ◽  
Author(s):  
Dong Liu ◽  
Siliang Sun ◽  
Shicheng Ding ◽  
Nana Kofi Amponsah-Gyenin ◽  
Hyoung-Bum Kim
Keyword(s):  
Heat Transfer ◽  
Aspect Ratio ◽  
Vortex Flow ◽  
Flow Instability ◽  
Heat Transfer Characteristics ◽  
Ratio Effect ◽  
Transfer Characteristics

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

2019 ◽  
Vol 31 (3) ◽  
pp. 034103 ◽  
Author(s):  
Hao Liu ◽  
Zhong Zeng ◽  
Linmao Yin ◽  
Zhouhua Qiu ◽  
Liangqi Zhang
Keyword(s):  
Prandtl Number ◽  
Thermocapillary Flow ◽  
Annular Pool

scholarly journals Linear Hydrodynamic Stability of Fluid Flow in Curved Rectangular Ducts: Semi-Analytical Study

2019 ◽  
Vol 35 (5) ◽  
pp. 747-765 ◽  
Author(s):  
H. Nowruzi ◽  
H. Ghassemi ◽  
S. S. Nourazar
Keyword(s):  
Fluid Flow ◽  
Aspect Ratio ◽  
Eigenvalue Problem ◽  
Flow Instability ◽  
Wave Number ◽  
Dean Number ◽  
Analytical Technique ◽  
Dean Flow ◽  
Aspect Ratios ◽  
Analytical Results

ABSTRACTIn the current study, for the first time, a semi-analytical technique is used for solving eigenvalue problem arising from linear hydrodynamics stability of fluid flow through the curved rectangular ducts at different curvature ratios and aspect ratios. To this accomplishment, symmetric disturbances are assumed and the Homotopy perturbation method (HPM) is applied to solve our eigenvalue problem for curvature ratios ranging from 0.01 to 0.8 and aspect ratios ranging from 0.05 to 20. Our semi-analytical results are validated through the existing numerical and experimental data, showing good agreement. The semi-analytical results indicate that, as the curvature ratio increases the critical Dean number (Dnc) is increased and the flow becomes more stable, especially for aspect ratios lower than 1.Moreover, for all intended curvature ratios, irregular behavior in variation of Dnc is detected by an increase in the aspect ratio. So that, the Dnc is decreased when the aspect ratio increases from 0.05 up to 1 and the fluid flow becomes unstable. When the aspect ratio is increased from 1 to 5, it causes to increase the Dnc and fluid flow becomes stable. Furthermore, when the aspect ratio increases from 5 to 20, the Dnc is decreased again. In addition, Dnc and eigenvalues of critical complex wave number corresponding to Dnc for the onset of Dean flow instability is reported under different curvature ratios and aspect ratios.

Instability mechanisms for thermocapillary flow in an annular pool heated from inner wall

2018 ◽  
Vol 127 ◽  
pp. 996-1003 ◽  
Author(s):  
Hao Liu ◽  
Zhong Zeng ◽  
Linmao Yin ◽  
Long Qiao ◽  
Liangqi Zhang
Keyword(s):  
Thermocapillary Flow ◽  
Annular Pool
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