Dynamic mode decomposition of thermocapillary convection in GaAs melt liquid bridge between unequal ends

Chen, Shuo; Zeng, Zhong; Zhang, Liangqi; Jin, Yisong; Li, Hao

doi:10.1016/j.ijheatmasstransfer.2023.124612

International Journal of Heat and Mass Transfer

2023

DOI: 10.1016/j.ijheatmasstransfer.2023.124612

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Dynamic mode decomposition of thermocapillary convection in GaAs melt liquid bridge between unequal ends

Shuo Chen,

Zhong Zeng,

Liangqi Zhang

et al.

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2024

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Cited by 1 publication

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Stability of buoyancy–thermocapillary convection in molten silicon liquid bridge between two disks with different radii under gravity

Tu,

Zeng,

Zhang

et al. 2024

Physics of Fluids

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By employing a linear stability analysis based on the spectral element method, we investigated the impact of radius ratio (Γr) on the stability of buoyancy–thermocapillary convection in a molten silicon liquid bridge (Pr = 0.011). This liquid bridge was located between two coaxial disks with different radii under the influence of gravity. The aspect ratio of the liquid bridge was maintained at Γ = 1, with a volume ratio Γv = 1 and a fixed height. To explore the physical mechanisms behind convection instability, a perturbation energy analysis was adopted. The free surface shape was determined using the Young–Laplace equation, and two distinct heating strategies were employed. In a top-heated liquid bridge, the convection stability under gravity is always stronger than under zero-gravity. However, in a bottom-heated liquid bridge, the convection stability under gravity is not consistently stronger than under zero-gravity; specifically, when 0.522 < Γr < 0.673, the convection stability under gravity is weaker than under zero-gravity. Despite the small height of the liquid bridge (approximately 2 mm), the maximum relative difference of the critical Marangoni number (Mac) between gravity and zero-gravity conditions reaches as high as 227.8%. In a bottom-heated liquid bridge, oscillatory instability occurs at larger radius ratios (Γr = 0.8) compared to the zero-gravity condition. Furthermore, all instabilities for various radius ratios and heating strategies were found to be of hydrodynamic in nature.

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Stability of buoyancy–thermocapillary convection in molten silicon liquid bridge between two disks with different radii under gravity

Tu,

Zeng,

Zhang

et al. 2024

Physics of Fluids

View full text Add to dashboard Cite

show abstract

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Dynamic mode decomposition of thermocapillary convection in GaAs melt liquid bridge between unequal ends

Cited by 1 publication

References 32 publications

Stability of buoyancy–thermocapillary convection in molten silicon liquid bridge between two disks with different radii under gravity

Stability of buoyancy–thermocapillary convection in molten silicon liquid bridge between two disks with different radii under gravity

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