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Breakage models: lognormality and intermittency

Published online by Cambridge University Press:  26 April 2006

Hidekatsu Yamazaki
Hidekatsu Yamazaki
Affiliation:
The Johns Hopkins University, Chesapeake Bay Institute. The Rotunda. 315, 711 West 40th Street, Baltimore, MA 21211. USA
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Abstract

A breakage model for the statistical distribution of the dissipation rate is proposed: this model, B-model, is a modification of the Gurvich & Yaglom model (1967) taking the criticism of Mandelbrot (1974) into account. The B-model uses the beta distribution for the breakage coefficient α. The universal power spectrum of velocity for the B-model has a slightly flatter slope (positive correction) than the ‘−5/3’ in contrast to all other previously proposed models, and this positive correction agrees with a theoretical argument made in Yakhot et al. (1989). The B-model predicts the structure functions of velocity observed by Anselmet et al. (1984) remarkably well without an empirical fit to the data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 181 - 193
Copyright
© 1990 Cambridge University Press

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