Direct numerical simulation of Rayleigh-Bénard-Marangoni convection of cold water near its density maximum in a cylindrical pool

Direct numerical simulation of Rayleigh-Bénard-Marangoni convection of cold water near its density maximum in a cylindrical pool
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圆柱形水池中接近密度最大值的冷水对流的瑞利-贝纳德-马兰戈尼对流的直接数值模拟

DOI:
10.1016/j.ijthermalsci.2017.10.034
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发表时间:
2018-02
影响因子:
4.5
通讯作者:
Yu-Peng Hu
Yu-Peng Hu
中科院分区:
工程技术2区
文献类型:
--
作者:
You-Rong Li;Lu Jia;Li Zhang;Yu-Peng Hu

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为了了解Marangoni效应对Rayleigh-Bénard对流的影响,采用有限体积法对底部加热、顶部有自由面的圆柱形水池中冷水在最大密度附近的Rayleigh-Bénard-Marangoni对流进行了一系列的三维数值模拟。结果表明,流动形态受瑞利数和毕奥数的影响较大。当Biot数较小时,由于自由面上的Marangoni效应较强,对流开始的临界Rayleigh数较低。随着Biot数的增加,Marangoni效应变得更弱。因此,临界瑞利数变得更大,在不同的密度反演参数下可以观察到更多的流型。此外,平均Nusselt数还受Rayleigh数、Biot数和密度反演参数的影响。具体地说,平均Nusselt数随瑞利数的增大而增大,随密度反演参数的减小而增大。同时,随着Biot数的增加,平均Nusselt数先增大后减小。此外,当流型由相对稳定状态转变为剧烈状态时,Nusselt数会突然增大,这意味着流型也会影响换热能力。
In order to understand the influence of Marangoni effect on Rayleigh-Bénard convection, a series of three-dimensional numerical simulations of Rayleigh-Bénard- Marangoni convection of cold water near its maximum density in a cylindrical pool heated from below and with a free surface at the top were carried out by using the finite volume approach. Results show that the flow pattern is strongly influenced by the Rayleigh number, as well as by the Biot number. When the Biot number is small, the critical Rayleigh number for the onset of convection is low due to the strong Marangoni effect on the free surface. As the Biot number increases, the Marangoni effect becomes weaker. Therefore, the critical Rayleigh number becomes much larger and more flow patterns can be observed at different density inversion parameters. Furthermore, the average Nusselt number is influenced by the Rayleigh number, the Biot number and the density inversion parameter. Specifically, the average Nusselt number increases with the increase of the Rayleigh number and the decrease of the density inversion parameter. Meanwhile, as the Biot number goes up, the average Nusselt number increases at first and then decreases. In addition, there exists a sudden increase of the Nusselt number when the flow pattern transits from a relative stable state to a violent state, which means the flow pattern can also influence the heat transfer ability.
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