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A numerical study on the thermal capillary-buoyancy convection of a binary mixture driven by rotation and surface-tension gradient in a shallow annular pool
International Journal of Heat and Mass Transfer ( IF 5.0 ) Pub Date : 2021-02-24 , DOI: 10.1016/j.ijheatmasstransfer.2021.121035
Cheng-Zhi Zhu , Lan Peng , Jia-Jia Yu , You-Rong Li

The thermal capillary-buoyancy convection with the Soret effect in a rotating annular pool was investigated by a series of three-dimensional numerical simulations. The annular pool is heated at the outer cylinder, cooled at the inner cylinder and filled with the n-decane/n-hexane binary mixture with an initial mass fraction of 50%. The present investigation focuses on the effects of the Taylor number and aspect ratio on the flow stability and flow patterns of the thermal capillary-buoyancy convection. The results show that the critical thermal capillary Reynolds number increases with the increase of the Taylor number, while decreases with the increase of the aspect ratio. Once the thermal capillary Reynolds number exceeds the critical value, the basic flow bifurcates to the flow pattern composed by the slender spiral waves and hydrothermal waves at a relatively small aspect ratio. In addition, the slender spiral waves are gradually suppressed with the increase of the aspect ratio. The basic flow transits to the hydrothermal waves at a relatively large aspect ratio. With the increasing Taylor number, the hydrothermal waves usually develop to the coexistence of the hydrothermal waves and internal oscillatory flow, which is created by the rotating vortex contained in the basic flow. Moreover, the Soret effect creates the concentration gradient opposite to temperature gradient, which enhances the thermal capillary-buoyancy convection in the binary mixture.



中文翻译:

浅环形池中由旋转和表面张力梯度驱动的二元混合物热毛细管浮力对流的数值研究

通过一系列三维数值模拟研究了在旋转环形池中具有索雷特效应的热毛细管浮力对流。环形池在外缸处加热,在内缸处冷却并充满癸烷/ n初始质量分数为50%的正己烷二元混合物。目前的研究集中在泰勒数和纵横比对热毛细管-浮力对流的流动稳定性和流型的影响。结果表明,临界热毛细管雷诺数随泰勒数的增加而增加,而随长径比的增加而减小。一旦热毛细管雷诺数超过临界值,基本流就会分叉成由细长螺旋波和热液波以相对较小的纵横比组成的流型。另外,随着纵横比的增加,细长的螺旋波被逐渐抑制。基本流以相对较大的纵横比过渡到热液波。随着泰勒数的增加,水热波通常发展为水热波与内部振荡流的共存,而内部振荡流是由基本流中包含的旋转涡流产生的。此外,Soret效应产生了与温度梯度相反的浓度梯度,从而增强了二元混合物中的热毛细管-浮力对流。

更新日期:2021-02-25
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