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General method for determining the boundary layer thickness in nonequilibrium flows
Physical Review Fluids ( IF 2.7 ) Pub Date : 2021-02-24 , DOI: 10.1103/physrevfluids.6.024608
Kevin Patrick Griffin , Lin Fu , Parviz Moin

While the computation of the boundary-layer thickness is straightforward for canonical equilibrium flows, there are no established definitions for general nonequilibrium flows. In this paper, a method is developed based on a local reconstruction of the inviscid velocity profile UI[y] resulting from the application of the Bernoulli equation in the wall-normal direction. The boundary-layer thickness δ99 is then defined as the location where U/UI=0.99, which is consistent with its classical definition for the zero-pressure-gradient boundary layers. The proposed local-reconstruction method is parameter-free and can be deployed for both internal and external flows without resorting to an iterative procedure, numerical integration, or numerical differentiation. The superior performance of the local-reconstruction method over various existing methods is demonstrated by applying the methods to laminar and turbulent boundary layers and two flows over airfoils. Numerical experiments reveal that the local-reconstruction method is more accurate and more robust than existing methods, and it is applicable for flows over a wide range of Reynolds numbers.

中文翻译:

确定非平衡流中边界层厚度的通用方法

虽然边界层厚度的计算对于规范的平衡流很简单,但是对于一般的非平衡流还没有确定的定义。在本文中,基于局部无粘性速度分布的重建方法被开发出来。ü一世[ÿ]由在壁法线方向上应用伯努利方程得出的结果。边界层厚度δ99 然后定义为 ü/ü一世=0.99,这与它对零压力梯度边界层的经典定义是一致的。所提出的局部重建方法是无参数的,并且可以用于内部和外部流,而无需借助迭代过程,数值积分或数值微分。通过将方法应用于层流和湍流边界层以及机翼上的两个流,证明了局部重建方法优于各种现有方法的性能。数值实验表明,局部重构方法比现有方法更准确,更可靠,并且适用于范围广泛的雷诺数流。
更新日期:2021-02-24
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