The turbulence structure of equilibrium boundary layers

P. Bradshaw

Journal of Fluid Mechanics · 1967 · 334 citations · 12 references

Concepts

TL;DR

The study measures turbulence in three boundary layers with constant and power‑law free‑stream velocity variations to investigate equilibrium boundary layer structure. Measurements were taken in three boundary layers—one with constant free‑stream velocity and two with power‑law variations producing moderate and strong adverse pressure gradients. The authors identify several unifying features of turbulent motion in near‑equilibrium boundary layers, including Kolmogorov inertial‑subrange spectra at higher wavenumbers, outer‑layer small‑scale motion governed by local shear stress and boundary‑layer thickness, and large eddies that grow relative to the overall turbulence level, resemble free mixing‑layer eddies, and contribute significantly to outer‑layer shear stress.

Abstract

Measurements in three boundary layers, one with constant free-stream velocity and two with power-law variations of free-stream velocity giving ‘moderate’ and ‘strong’ adverse pressure gradients, are presented and discussed. Several unifying features of the turbulent motion, expected to appear in all boundary layers not too far from equilibrium, are identified. The intensity spectra at higher wavenumbers follow the Kolmogorov inertial-subrange law, although the Reynolds number is not particularly high even by laboratory standards: in addition the smaller-scale motion in the outer layer is determined entirely by the local shear stress and the boundary-layer thickness. The large eddy motion increases in strength relative to the general turbulence level as the general turbulence level increases, and the limited evidence available suggests that the large eddies are similar to those in the free mixing layer. In all cases the large eddies contribute a significant proportion of the shear stress in the outer layer.

References

12