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首页> 外文期刊>International Journal of Heat and Mass Transfer >Three-dimensional thermocapillary-buoyancy flow of silicone oil in a differentially heated annular pool
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Three-dimensional thermocapillary-buoyancy flow of silicone oil in a differentially heated annular pool

机译：差温加热环形池中硅油的三维热毛细管浮力流

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摘要

In order to understand the characteristics of thermocapillary-buoyancy flow, we conducted a series of unsteady three-dimensional numerical simulations of thermocapillary-buoyancy flow of 0.65cSt silicone oil (Prandtl number Pr = 6.7) in an annular pool with different depth (d = 1-11 mm) heated from the outer wall (radius r_o = 40 mm) and cooled at the inner cylinder (r_i = 20 mm) with an adi-abatic solid bottom and adiabatic free surface. Simulation conditions correspond to those in the experiments of Schwabe [D. Schwabe, Buoyant-thermocapillary and pure thermocapillary convective instabilities in Czochralski systems, J. Crystal Growth 237-239 (2002) 1849-1853]. Simulation results with large Marangoni number predict three types three-dimensional flow patterns. In the shallow thin pool (d = 1 mm), the hydrothermal wave characterized by curved spokes is dominant. In the deep pools (d ≥ 5 mm) the three-dimensional stationary flow appears and this flow pattern corresponds to the Rayleigh-Benard instability, which consists of pairs of counter-rotating longitudinal rolls. When 2 mm ≤ d ≤ 4 mm, the hydrothermal wave and three-dimensional oscillatory flow coexist in the pool and travel along the same azimuthal direction with the same angular velocity. The critical conditions for the onset of three-dimensional flows were determined and compared with the experimental results. The characteristics of three-dimensional flows were discussed.
机译：为了了解热毛细管浮力流的特性，我们在不同深度的环形池中对0.65cSt硅油（普朗特数Pr = 6.7）的热毛细管浮力流进行了一系列非稳态三维数值模拟。 1-11毫米）从外壁加热（半径r_o = 40毫米），并在内壁圆柱体上（r_i = 20毫米）冷却，并具有绝热的固体底部和绝热的自由表面。模拟条件与Schwabe [D. Schwabe，Czochralski系统中的浮力-热毛细管和纯热毛细管对流不稳定性，J。Crystal Growth 237-239（2002）1849-1853]。大Marangoni数的模拟结果可预测三种类型的三维流型。在浅薄的水池中（d = 1 mm），以辐条弯曲为特征的热液波占主导地位。在深水池（d≥5 mm）中，出现了三维固定流，并且该流型对应于瑞利-贝纳德不稳定性，它由成对的反向旋转的纵向辊组成。当2 mm≤d≤4 mm时，水热波和三维振荡流在池中共存，并沿相同的方位角方向以相同的角速度传播。确定了三维流动发生的临界条件，并将其与实验结果进行了比较。讨论了三维流动的特征。

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