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arXiv 2306.02404physics.flu-dynphysics.comp-ph
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含有限尺寸液滴的浓缩乳液Rayleigh-Bénard对流中热传递涨落的分析

Analysis of the heat transfer fluctuations in the Rayleigh-Bénard convection of concentrated emulsions with finite-size droplets

Francesca Pelusi, Stefano Ascione, Mauro Sbragaglia, Massimo Bernaschi

AI总结:

本文通过数值模拟研究了含有限尺寸液滴的浓缩乳液Rayleigh-Bénard对流中的热传递涨落,揭示了边界层极端事件聚集与热通量间歇性爆发的关联,并量化了液滴相干运动的范围和持续时间的幂律行为。

摘要:

采用数值模拟,我们深入揭示了含有限尺寸液滴的浓缩乳液Rayleigh-Bénard对流中的热传递机制。我们重点关注这些复杂流体在接近从导热到对流状态转变时的热对流非定常动力学,此时以Nusselt数Nu表示的热传递现象表现出由液滴集体运动引发的显著涨落 [Pelusi et al., Soft Matter 17(13), 3709 - 3721 (2021)]。通过系统增加液滴浓度,我们展示了这些涨落如何伴随边界层中“极端事件”的聚集而出现,导致热通量涨落中的间歇性爆发。此外,我们通过对液滴位移进行适当的统计分析,量化了伴随这些极端事件的相干液滴运动的范围$S$和持续时间$\mathcal{T}$。我们展示了液滴浓度的增加如何导致$S$和$\mathcal{T}$的概率分布函数呈现幂律行为,以及该结果在改变分析协议时如何保持稳健。我们的工作提供了一个全面的图景,将宏观热传递涨落与介观尺度上的液滴统计联系起来。

英文摘要:

Employing numerical simulations, we provide an accurate insight into the of heat transfer mechanisms in the Rayleigh-Bénard convection of concentrated emulsions with finite-size droplets. We focus on the unsteady dynamics characterizing the thermal convection of these complex fluids close to the transition from conductive to convective states, where the heat transfer phenomenon, expressed in terms of the Nusselt number Nu, is characterized by pronounced fluctuations triggered by collective droplets motion [Pelusi et al., Soft Matter 17(13), 3709 - 3721 (2021)]. By systematically increasing the droplet concentration, we show how these fluctuations emerge along with the segregation of "extreme events" in the boundary layers, causing intermittent bursts in the heat flux fluctuations. Furthermore, we quantify the extension $S$ and the duration $\mathcal{T}$ of the coherent droplet motion accompanying these extreme events via a suitable statistical analysis involving the droplets displacements. We show how the increase in droplet concentration results in a power-law behaviour of the probability distribution function of $S$ and $\mathcal{T}$ and how this outcome is robust at changing the analysis protocol. Our work offers a comprehensive picture, linking macroscopic heat transfer fluctuations with the statistics of droplets at the mesoscale.

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