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General method for determining the boundary layer thickness in nonequilibrium flows

Kevin Patrick Griffin*, Lin Fu, and Parviz Moin

  • Center for Turbulence Research, Stanford University, Stanford, California 94305-3024, USA

  • *kevinpg@stanford.edu
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Phys. Rev. Fluids 6, 024608 – Published 24 February, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.024608

Abstract

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.

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Outline

Information

Phys. Rev. Fluids 6, 024608– Published 24 February, 2021
  • Received 27 October 2020
  • Accepted 4 February 2021
Article part of CHORUS
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