Abstract
This chapter presents a second-stage eddy-viscosity calculation for the flat-plate turbulent boundary layer. The concept of the dual structure of turbulence, that is, large eddies and small eddies, was developed extensively by Townsend. Lumley gave the first objective mathematical definition of the large eddies; this definition also provides a scheme whereby these structures can be removed from experimental, two-point, velocity covariance data usually obtained via hot-wire or laser-Doppler anemometry. Payne and Lemmerman applied Lumley's definition to two flow prototypes. Based upon the large-eddy velocity data calculated by Lemmerman, its two-point correlation was constructed. This provided an overwhelming mass of data for full six-dimensional analysis. The chapter focuses on the analysis of one-point correlations of the large-eddy components, that is, a three-dimensional analysis. The subsequent calculation of small-eddy viscosity yields an approximately linear relation between small-eddy viscosity and the coordinate normal to the wall in the logarithmic region of 2-D turbulent boundary layers with zero pressure gradient.
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