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Eddy viscosity and velocity distribution in turbulent pipe flow revisited
Author(s) -
Datta Ravindra
Publication year - 1993
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690390703
Subject(s) - turbulence , mechanics , eddy diffusion , turbulence modeling , shear velocity , momentum (technical analysis) , pipe flow , chézy formula , flow (mathematics) , distribution (mathematics) , physics , open channel flow , classical mechanics , mathematics , mathematical analysis , finance , economics
An algebraic expression involving three universal constants is proposed for the eddy momentum diffusivity in fully developed turbulent pipe flow that adequately simulates its variation throughout the pipe cross‐section. The model permits analytical integration to provide a single universal correlation that, unlike other available expressions, smoothly and accurately describes the entire turbulent velocity distribution from the inner region in the immediate vicinity of the wall all the way to the core region near the pipe axis and compares well with the existing correlations and experimental data. Accurate values of the maximum velocity and other flow variables of engineering interest can also be calculated from the velocity profile expression.