Three-dimensional thermocapillary–buoyancy flow of a binary mixture with Soret effect in a shallow annular pool

Yu, Jiajia; Li, You–Rong; Wu, Chun-Mei; Chen, Jie-Chao

doi:10.1016/j.ijheatmasstransfer.2015.07.048

Cited by 28 publications

(9 citation statements)

References 37 publications

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“…When both the numerical accuracy and the computational expense are taken into account, the grid of 52 R Â 52 Z Â 180 h is chosen for all cases. On the other hand, the code version for 3D numerical simulation of thermocapillary convection has been verified in the previous papers [12,[16][17][18][36][37][38].…”

Section: Calculation Conditions and Numerical Methodsmentioning

confidence: 63%

“…Gillon and Homsy [15] used particle image velocimetry (PIV) to analyze buoyancy-thermocapillary convection of 0.65cSt silicone oil layer in a rectangular pool and explained the influence of Marangoni effect on flow pattern transition. Chen et al [16] and Yu et al [17] carried out the numerical simulation to analyze the physical mechanism of the hydrothermal wave formation for the low (Pr = 0.011) and moderate (Pr = 6.7) Prandtl number fluids in an annular liquid pool. What's more, some scholars have experimentally observed the stationary longitudinal roll pattern and the HTWs in an annular pool [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Flow pattern transition and destabilization mechanism of thermocapillary convection for low Prandtl number fluid in a deep annular pool with surface heat dissipation

Zhang

et al. 2018

International Journal of Heat and Mass Transfer

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In order to understand clearly the flow pattern transition and the destabilization mechanism of thermocapillary convection for low Prandtl number fluids in a deep annular pool with surface heat dissipation, we carried out a series of three-dimensional numerical simulations by using the finite volume method. The radius ratio and the aspect ratio of an annular pool are respectively fixed at 0.5 and 1.0. Prandtl number of the working fluid is 0.011. Because the total heat dissipation coefficient on the free surface for low Prandtl fluids is small, Biot number is varied from 0 to 1.0. Results indicate that thermocapillary convection experiences the transitions from axisymmetric steady state flow into three-dimensional steady flow, and then into three-dimensional oscillation flow with the increase of Marangoni number. The critical Marangoni number of flow pattern transition decreases slightly with the increase of Biot number, and the maximum temperature and velocity fluctuations appear near the lower part of outer wall. The azimuthal temperature fluctuation on the free surface gradually shrinks to the inner wall, and the temperature fluctuation region decreases. However, it remains almost unchanged near the bottom of the annular pool, but the fluctuation amplitude increases.

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Section: Calculation Conditions and Numerical Methodsmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Flow pattern transition and destabilization mechanism of thermocapillary convection for low Prandtl number fluid in a deep annular pool with surface heat dissipation

Zhang

et al. 2018

International Journal of Heat and Mass Transfer

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“…When Ma increases from 12 000 to 35 000, α changes from 55 • to 35 • . However, the volume ratio has no effect on the angles, which is contrary to the terrestrial results (Yu et al 2015). It may be that the flow field can be influenced by gravity, greatly determining the flow pattern transitions.…”

Section: The Selection Of Wavenumbermentioning

confidence: 61%

“…Many theoretical, numerical (Li et al 2004;Yu et al 2015) and experimental studies (Kamotani, Ostrach & Pline 1994;Benz & Schwabe 2001) have been devoted to instability mechanisms and their characteristics have been researched. The dynamic behaviour can be characterized by the critical point, frequency, flow patterns, and so on.…”

Section: Introductionmentioning

confidence: 99%

The volume ratio effect on flow patterns and transition processes of thermocapillary convection

Kang

Wang

et al. 2019

J. Fluid Mech.

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Thermocapillary convection has always been one of the most important research topics in microgravity fluid physics. A space experimental study on the thermocapillary convection in an open annular liquid pool – a typical thermocapillary flow system – has been conducted on the SJ-10 satellite of China. This space experiment has observed the spatial temperature distribution of the liquid free surface using an infrared thermal imager, obtained the flow pattern transition process, analysed the oscillation characteristics and revealed the instability mechanism of themocapillary convection. The shape effects on the flow instability are researched by changing the volume ratio, Vr, which denotes the ratio of the liquid volume to the volume of the cylindrical gap between the walls. The volume ratio effect has been focused on for the first time. For a certain volume ratio, the flow pattern would transform from the steady state to the oscillation state accompanied by directional propagating hydrothermal waves with increasing temperature difference. In addition, the significant influences of the volume ratio on the critical conditions and wavenumber selection have been analysed in detail.

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“…They discussed the relationship between oscillatory frequency and Marangoni number. Li et al [12][13][14][15] simulated numerically thermocapillary convection for the low (Pr = 0.011) and moderate (Pr = 6.7) Prandtl number fluids in the annular liquid pool and analyzed the physical mechanism of the hydrothermal wave formation. Gillon and Homsy [16] studied buoyancythermocapillary convection of 0.65cSt silicone oil layer in a rectangular pool by particle image velocimetry (PIV) and explained the effect of Marangoni number on the flow pattern transition.…”

Section: Introductionmentioning

confidence: 99%

Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation

Zhang

et al. 2018

International Journal of Thermal Sciences

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In order to understand clearly the transition characteristics of thermocapillary convection of low Prandtl number fluid in shallow annular pool with surface heat dissipation, some bifurcation routes to chaos of thermocapillary convection have been numerically investigated by using the finite volume method in this paper. The annular pool was filled with the low Prandtl (Pr) number fluid of Pr = 0.011. The range of Biot number is from 0 to 1. Results indicate that the flow bifurcation route of thermocapillary convection depends intensively on surface heat dissipation. When surface heat dissipation is smaller, with the increase of Marangoni number the flow bifurcation sequence of thermocapillary convection is two-dimensional axisymmetric steady flow → three-dimensional steady flow → coexisting hydrothermal waves and radial moving waves → radial moving waves → chaos. When surface heat dissipation is larger, the bifurcation sequence becomes simple as two-dimensional axisymmetric steady flow → hydrothermal waves → chaos. Furthermore, every bifurcation of thermocapillary convection is always accompanied by the variations of the wave number and the oscillatory frequency. Furthermore, the temperature fluctuation amplitude on the free surface increases gradually with the increase of Marangoni number.

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Three-dimensional thermocapillary–buoyancy flow of a binary mixture with Soret effect in a shallow annular pool

Cited by 28 publications

References 37 publications

Flow pattern transition and destabilization mechanism of thermocapillary convection for low Prandtl number fluid in a deep annular pool with surface heat dissipation

Flow pattern transition and destabilization mechanism of thermocapillary convection for low Prandtl number fluid in a deep annular pool with surface heat dissipation

The volume ratio effect on flow patterns and transition processes of thermocapillary convection

Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation

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