Application of Probability and Entropy Concepts in Pipe‐Flow Study
Publication: Journal of Hydraulic Engineering
Volume 119, Issue 6
Abstract
A new velocity‐distribution equation based on the probability and entropy concepts is recommended as an alternative to the existing, power law and universal law equations for pipe‐flow studies. With only two parameters, the new equation can represent the velocity distribution in the entire flow field in a pipe, regardless of whether the flow is laminar or turbulent, and whether the pipe is smooth or rough. An application of this new velocity distribution equation has led to new equations relating the friction factor to entropy. A statistical method is also presented to analyze and quantify the uncertainty in the computed velocity distribution due to uncertainties in the related parameters or variables.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Jul 15, 1992
Published online: Jun 1, 1993
Published in print: Jun 1993
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