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Velocity distribution and scaling properties of wall bounded flow

Velocity distribution and scaling properties of wall bounded flow The scaling and similarity of wall bounded turbulent flow were studied. The properties of such flows and the relationship between a power law and a logarithmic type of velocity distribution were investigated. Based on the physical mechanism involved, our results show that the power law and the logarithmic distribution are only different forms with the same hypothesis and hold only in the outer flow zone. Thus, a universal explanation for various empirical formulae of velocity distribution was obtained. Manning’s formula was studied to explain theoretically the experiential result that the roughness coefficient is only a comprehensive parameter of the whole system without a corresponding physical factor. The physical mechanism of the velocity distribution of parallel to wall bounded flow was explored, the results show that the parameters in the formula of velocity distribution are indices of the system responding to flowing environmental factors to represent general case of boundary roughness and the flowing state, corresponding physical mechanism is vortex motion. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Zhejiang University - Science A Springer Journals

Velocity distribution and scaling properties of wall bounded flow

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Zhejiang University and Springer-Verlag Berlin Heidelberg
Subject
Engineering; Industrial Chemistry/Chemical Engineering; Classical Continuum Physics; Civil Engineering; Mechanical Engineering
ISSN
1673-565X
eISSN
1862-1775
DOI
10.1631/jzus.A1000044
Publisher site
See Article on Publisher Site

Abstract

The scaling and similarity of wall bounded turbulent flow were studied. The properties of such flows and the relationship between a power law and a logarithmic type of velocity distribution were investigated. Based on the physical mechanism involved, our results show that the power law and the logarithmic distribution are only different forms with the same hypothesis and hold only in the outer flow zone. Thus, a universal explanation for various empirical formulae of velocity distribution was obtained. Manning’s formula was studied to explain theoretically the experiential result that the roughness coefficient is only a comprehensive parameter of the whole system without a corresponding physical factor. The physical mechanism of the velocity distribution of parallel to wall bounded flow was explored, the results show that the parameters in the formula of velocity distribution are indices of the system responding to flowing environmental factors to represent general case of boundary roughness and the flowing state, corresponding physical mechanism is vortex motion.

Journal

Journal of Zhejiang University - Science A – Springer Journals

Published: Jul 1, 2010

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