General method for determining the boundary layer thickness in nonequilibrium flows

被引:65
作者
Griffin, Kevin Patrick [1 ]
Fu, Lin [1 ]
Moin, Parviz [1 ]
机构
[1] Stanford Univ, Ctr Turbulence Res, Stanford, CA 94305 USA
关键词
Reynolds number;
D O I
10.1103/PhysRevFluids.6.024608
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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 U-I[y] resulting from the application of the Bernoulli equation in the wall-normal direction. The boundary-layer thickness delta(99) is then defined as the location where U/U-I = 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.
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页数:22
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