Linear-Stability Analysis of Thermocapillary-Buoyancy Convection in an Annular Two-Layer System with Upper Rigid Wall Subjected to a Radial Temperature Gradient

Mo, Dong-Ming; Ruan, Dike

doi:10.1007/s12217-019-9692-3

Cited by 5 publications

(1 citation statement)

References 31 publications

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“…In addition, under microgravity, uneven heating can lead to the rupture of the liquid layer [14] . Mo et al used linear stability analysis [15][16][17] to study the flow stability of annular two liquid layer filled with 5cSt silicone oil / HT-70 under the condition of upper free surface and upper solid wall. It was found that under the conditions of different radius ratio, aspect ratio and thickness ratio of lower liquid layer to total liquid layer, there were three kinds of flow instability phenomena in the system, namely, the hydrothermal wave of spoke shape, the superposition of the same wave number flow cells and spoke shape hydrothermal wave at the hot wall ,and three-dimensional steady flow.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Thermocapillary Convection of B2O3/Sapphire Melt in an Annular Pool

2021

MSF

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Aiming at the thermocapillary convection stability of sapphire crystal grown by liquid-encapsulated Czochralski method, by non-linear numerical simulation, obtained the flow function and temperature distribution of R-Z cross section, as well as the velocity and temperature distribution at liquid-liquid interface and monitoring point of B2O3/sapphire melt in annular two liquid system, covered with solid upper wall and in microgravity. By means of linear stability analysis, obtained the neutral stability curve and critical stability parameters of the system, and revealed the temperature fluctuation of the liquid-liquid interface. The calculated results of B2O3/sapphire melt were compared with 5cSt silicone oil/HT-70. The results show that under the same geometrical conditions, the flow of B2O3/sapphire melt system is more unstable than 5cSt silicone oil/HT-70, there are two unstable flow patterns, radial three-dimensional steady flow cell and hydrothermal waves near the hot wall. The larger the ratio of Pr number of upper and lower fluid layers is, the better the effect of restraining the flow of lower fluid layers is.

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Section: Introductionmentioning

confidence: 99%

Stability Analysis of Thermocapillary Convection of B2O3/Sapphire Melt in an Annular Pool

2021

MSF

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Nonlinear Sideband Thermocapillary Instability of a Thin Film Coating the Inside of a Thick Walled Cylinder with Finite Thermal Conductivity in the Absence of Gravity

Dávalos‐Orozco

2019

Microgravity Sci. Technol.

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Numerical Study of Thermocapillary-Buoyancy Convection of Volatile Liquid Layer in an Enclosed Cavity

Liu

Qin

et al. 2020

Microgravity Sci. Technol.

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Linear-Stability Analysis of Thermocapillary-Buoyancy Convection in an Annular Two-Layer System with Upper Rigid Wall Subjected to a Radial Temperature Gradient

Cited by 5 publications

References 31 publications

Stability Analysis of Thermocapillary Convection of B<sub>2</sub>O<sub>3</sub>/Sapphire Melt in an Annular Pool

Stability Analysis of Thermocapillary Convection of B<sub>2</sub>O<sub>3</sub>/Sapphire Melt in an Annular Pool

Nonlinear Sideband Thermocapillary Instability of a Thin Film Coating the Inside of a Thick Walled Cylinder with Finite Thermal Conductivity in the Absence of Gravity

Numerical Study of Thermocapillary-Buoyancy Convection of Volatile Liquid Layer in an Enclosed Cavity

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