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ISSN オンライン: 2642-0554

SCALING LAWS FOR A TURBULENT BOUNDARY LAYER OVER A FLAT PLATE

Boris Jacob
CNR-INSEAN, via di Vallerano 139, 00128 Rome, Italy

A. Olivieri
INSEAN, via di Vallerano 139, 00128 Rome, Italy

Carlo M. Casciola
Department of Mechanics and Aeronautics, 'Sapienza' University of Rome, Via Eudossiana 18, 00184 Rome, Italy

要約

Experimental results concerning the behavior of the velocity structure functions in a turbulent boundary-layer are presented. Our analysis in terms of extended self-similarity confirms recent findings about a double-scaling regime in the logarithmic region. The crossover is controlled by the mean shear. At small separations, the exponents of the power-laws for the velocity structure functions are close to those usually experienced in homogeneous isotropic turbulence. At larger separations, where the mean shear strongly affects the velocity fluctuations, the exponents are substantially lower. The relationship between the present results and the existence of a new form of similarity, recently proposed for shear dominated turbulence, is thoroughly investigated.