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Origin of the scaling laws of developing turbulent boundary layers
Published in American Institute of Physics Inc.
2022
Volume: 34
   
Issue: 7
Abstract
In this Perspective article, we seek the origin of the scaling laws of developing turbulent boundary layers over a flat plate from the perspective of the phenomenological theory of turbulence. The scaling laws of the boundary-layer thickness and the boundary shear stress in rough and smooth boundary-layer flows are established. In a rough boundary-layer flow, the boundary-layer thickness (scaled with the boundary roughness) and the boundary shear stress (scaled with the dynamic pressure) obey the "2/(1-σ)"and "(1+σ)/(1-σ)"scaling laws, respectively, with the streamwise distance (scaled with the boundary roughness). Here, σ is the spectral exponent. In a smooth boundary-layer flow, the boundary-layer thickness (scaled with the viscous length scale) and the boundary shear stress (scaled with the dynamic pressure) obey the "8/(5 - 3σ)"and "3(1+σ)/(5 - 3σ)"scaling laws, respectively, with the Reynolds number characterized by the streamwise distance. © 2022 Author(s).
About the journal
JournalData powered by TypesetPhysics of Fluids
PublisherData powered by TypesetAmerican Institute of Physics Inc.
ISSN10706631