Spectra of supersaturation and liquid water content in cloud turbulence
Spectra of supersaturation and liquid water content in cloud turbulence
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云湍流中过饱和度和液态水含量的光谱
DOI：
10.1103/physrevfluids.6.110512
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
T. Watanabe
中科院分区：
文献类型：
--
作者：
T. Gotoh;I. Saito;T. Watanabe
本文从理论上研究了云湍流中的过饱和度和液态水含量的起伏谱。的方差谱方程推导出使用拉格朗日重整化近似，并通过渐近分析检查。我们的研究结果表明，依赖于波数的Damköhler数，定义为湍流的涡流周转时间的相位弛豫时间的比率的过饱和，控制的标量传递函数和过饱和的湍流激发。此外，过饱和光谱有三个幂律范围。这里有两个范围;然而，它们的振幅不同取决于大尺度Damköhler数和相关范围内的过饱和激发的输入比。的第三个范围包括和表示分别对应于Kolmogorov时间的Bachelor常数和Damköhler数。LWC谱显示出两个幂律区域：for和for，在这两个幂律区域内，过渡波数随湍流的变化由过饱和激发的输入比给出，与实测结果一致。
Spectra of supersaturation and liquid water content (LWC) fluctuations in cloud turbulence are theoretically studied. Equations for the variance spectra are derived using the Lagrangian renormalized approximation and examined through asymptotic analysis. Our results show that the wave-number-dependent Damköhler number, defined as the ratio of the turbulent eddy turnover time to the phase relaxation time of the supersaturation, controls the scalar transfer functions and the supersaturation excitation by turbulence. Additionally, the supersaturation spectrumhas three power-law ranges. Here two ranges follow; however, their amplitudes differ depending on the large-scale Damköhler number and the input ratio of the supersaturation excitations in the associated range. The third range ofincludesandrepresenting the Bachelor constant and Damköhler number corresponding to the Kolmogorov time, respectively. The LWC spectrumreveals two power-law ranges:forandfor, in which the transition wave numberis given by the input ratio of the supersaturation excitations in the tworanges by the turbulence and is consistent with field measurement results.