Nonlinear Waves in Two-Layer Systems with a Temperature-Dependent Interfacial Heat Release

Simanovskii, Ilya B.; Nepomnyashchy, Alexander; Viviani, Antonio; Dubois, Frank

doi:10.1007/s12217-016-9491-z

Cited by 7 publications

(1 citation statement)

References 13 publications

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“…The results reflect the liquid seal can greatly enhance the stability of the system, and the critical Marangoni number of the two-layer fluid is about two orders of magnitude than that of the single liquid layer under the same conditions. Simaovski et al [8][9][10] carried out a two-dimensional numerical simulation of rectangular two-layer system with heat source at the interface, which has vertical heating and periodic boundary conditions of solid wall. The results show that the heat source at the interface will lead to the cause of flow bifurcation.…”

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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Longwave Stability of Two Liquid Layers Coating Both Sides of a Thick Wall in the Absence of Gravity

Dávalos‐Orozco

2018

Microgravity Sci. Technol.

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Nonlinear Convective Flows in a Laterally Heated Two-Layer System with a Temperature-Dependent Heat Release/Consumption at the Interface

Simanovskii

Viviani

Dubois

et al. 2018

Microgravity Sci. Technol.

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Nonlinear Waves in Two-Layer Systems with a Temperature-Dependent Interfacial Heat Release

Cited by 7 publications

References 13 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

Longwave Stability of Two Liquid Layers Coating Both Sides of a Thick Wall in the Absence of Gravity

Nonlinear Convective Flows in a Laterally Heated Two-Layer System with a Temperature-Dependent Heat Release/Consumption at the Interface

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