Oscillatory Model for Wall‐Bounded Turbulence
Publication: Journal of Engineering Mechanics
Volume 109, Issue 3
Abstract
A three‐dimensional oscillatory model is proposed to represent the main features of the transition from laminar to turbulent flow and of turbulent flow along a wall. The model is based on the Strouhal law giving the frequency f of periodic perturbations within the boundary layer as a function of the boundary‐layer thickness δ and of the outer velocity u. The validity of this law for the main boundary‐layer features is proved. Experimental evidence suggests the presence of a traveling wave and an associated standing wave, both of length by which bursting activity is controlled and coherent turbulent structures are shaped and timed. Other waves at wall appear to account for the production, spacing and length of viscous‐sublayer longitudinal streaks. The model provides means for a quantum‐mechanics approach to turbulent motion. This is shown through an example in which the turbulent energy‐spectrum is obtained by deterministic considerations.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 109 • Issue 3 • August 1983
Pages: 728 - 740
Copyright
Copyright © 1983 ASCE.
History
Published online: Aug 1, 1983
Published in print: Aug 1983
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