Wall turbulence closure based on classical similarity laws and the attached eddy hypothesis
Wall turbulence closure based on classical similarity laws and the attached eddy hypothesis
复制标题
基于经典相似定律和附加涡假设的壁面湍流闭合
DOI：
--
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
J. D. Li
中科院分区：
文献类型：
--
作者：
A. Perry;I. Marusic;J. D. Li
本文用最近导出的剪应力分布解析表达式对湍流边界层的闭合问题作了新的探讨。这些表达式是基于壁面对数定律和Coles尾流公式定律[J.FluidMech.1，191（1956）]，具有平均连续性和平均动量微分和积分方程。Clauser [Adv.Mech.4，1（1956）]的平衡层的概念被扩展并且使用与Rotta [Prog.航空科学2，1（1962）]对于自相似性，对于在任意压力梯度中发展的层，在Coles尾流因子的流向导数不太大的情况下，提出了一个闭合方案。对于一个给定的流动情况，这个科尔斯尾流条件可以用内部一致性检查来测试。该数学框架最适合于结合汤森的附加涡流假说，该假说最近由佩里、李和马鲁西克[Philos.Trans.R.1999]发展。Soc.伦敦系列A 336，67（1991）]。这提供了一个机会，将相干结构的概念纳入封闭计划。可能的方式处理困难的情况下，科尔斯尾流因子的流向导数是显着的进行了讨论。
A new look at the closure problem of turbulent boundary layers is taken here using recently derived analytical expressions for the shear stress distributions. These expressions are based on the logarithmic law of the wall and law of the wake formulation of Coles [J. Fluid Mech. 1, 191 (1956)] with the mean continuity and the mean momentum differential and integral equations. The concept of equilibrium layers of Clauser [Adv. Mech. 4, 1 (1956)] is extended and using similar ideas as Rotta [Prog. Aeronaut. Sci. 2, 1 (1962)] for self‐similarity, a closure scheme is proposed for layers developing in arbitrary pressure gradients for the case where the streamwise derivative of the Coles wake factor is not too large. For a given flow case, this Coles wake condition can be tested with internal consistency checks. The mathematical framework is most suitable for incorporating Townsend’s attached eddy hypothesis as recently developed by Perry, Li, and Marusic [Philos. Trans. R. Soc. London Ser. A 336, 67 (1991)] for closure. This gives an opportunity to incorporate coherent structure concepts into closure schemes. Possible ways of handling the difficult case where the streamwise derivative of the Coles wake factor is significant are discussed.