论文标题

限制湍流水平对流的机制。第二部分:较大的prandtl数字

Limiting regimes of turbulent horizontal convection. Part II : Large Prandtl numbers

论文作者

Passaggia, Pierre-Yves, Cohen, Nadia F., Scotti, Alberto, White, Brian L.

论文摘要

在大雷利和prandtl数字上的水平对流(HC)在实验中进行了实验研究,而瑞利数字的范围比以前的数量大于七个数量级。为了达到最高$ 10^{17} $的雷利,在新的实验中,通过盐和淡水的差分输入通过盐和淡水的差分输入来生成水平密度梯度,在新的实验中,通过可渗透的膜确保水的零网状质量量。这种设置允许通过仔细控制通过膜交换的盐水量来准确测量液体对流中的努塞尔特数。瑞利数字中五个以上数量级的密度和速度的合并测量表明,从Beardsley&Festa态度到Chiu-Webster等人的流动过渡。政权和构图当前的结果在Shishkina等人的范围内和伴侣论文理论。特别是,我们表明,即使对于较大的prandtl数字,循环最终也会在强迫水平边界下方留下分层芯而没有运动。最后,以前的制度图是扩展的,将目前的结果组合在较高的prandtl数字上,伴侣纸的较低prandtl数字的结果以及文献的先前结果。这项工作为在prandtl数字中的六个数量级和瑞利数字中的16个数量级的六个数量级的水平对流过渡景观设置了新图片。

Horizontal Convection (HC) at large Rayleigh and Prandtl numbers, is studied experimentally in a regime up to seven orders of magnitude larger in terms of Rayleigh numbers than previously achieved. To reach Rayleigh up to $10^{17}$, the horizontal density gradient is generated using differential solutal convection by a differential input of salt and fresh water controlled by diffusion in a novel experiment where the zero-net mass flux of water is ensured through permeable membranes. This setup allows for measuring accurately the Nusselt number in solutal convection by carefully controlling the amount of salt water exchanged through the membranes. Combined measurements of density and velocity across more than five orders of magnitude in Rayleigh numbers show that the flow transitions from the Beardsley & Festa regime to the Chiu-Webster et al. regime and frames the present results within the scope of Shishkina et al., and the companion paper theory. In particular, we show that even for large Prandtl numbers, the circulation eventually clusters underneath the forcing horizontal boundary leaving a stratified core without motion. Finally, previous regime diagrams are extended combining the present results at high Prandtl numbers, the results at low Prandtl numbers of the companion paper, together with previous results from the literature. This work sets a new picture of the transition landscape of horizontal convection across six orders of magnitude in Prandtl number and sixteen orders of magnitude in Rayleigh numbers.

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