局部相似性理论，包括“谱”普兰特混合长度。大气对流边界层中的能量耗散与结构参数
广义相对论与量子宇宙学
2025-02-13 v2 高能物理 - 理论
摘要
本文讨论了一种局部相似性理论的变体，采用垂直速度的二阶矩和“谱”普兰特混合长度作为基本参数。该方法允许仅通过局部相似性的两个独立基本参数来表达湍流交换系数、动能耗散率、浮力平方耗散率、浮力与垂直速度的混合矩，以及结构参数。将局部相似性近似与实验数据进行比较，令人信服地确认了所提出关系的正确性，并展示了所考虑理论的高效性。-established that the approximations of the turbulent exchange coefficient and dissipations of local similarity are fully consistent with the semi-empirical theories of Prandtl, Hanna, Richardson-Onsager and the Kolmogorov-Obukhov spectral theory with the -5/3 law for the atmospheric CBL. Thus, the new theory of local similarity significantly extends the scope of applications of well-known turbulence theories and substantially complements our understanding of turbulent convection.
引用
@article{arxiv.2412.06357,
title = {Mechanisms Behind the Aschenbach Effect in Non-Rotating Black Hole Spacetime},
author = {Mohammad Ali S. Afshar and Jafar Sadeghi},
journal= {arXiv preprint arXiv:2412.06357},
year = {2025}
}
备注
15 pages, 9 figures, Accepted for publication in Annals of Physics