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A model for velocity and eddy diffusivity distributions in fully turbulent pipe flow
Author(s) -
Travis J. R.,
Buhr H. O.,
Sesonske Alexander
Publication year - 1971
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450490104
Subject(s) - eddy diffusion , thermal diffusivity , mechanics , turbulence , shear velocity , isothermal process , flow (mathematics) , flow velocity , physics , materials science , thermodynamics
A model was developed for the eddy diffusivity and mean velocity distributions in fully developed turbulent isothermal smooth pipe flow (4 × 10 3 < Re < 5 × 10 6 ). Reichardt's tworegion eddy diffusivity models were modified so as to fulfill the requirements that the eddy diffusivity be represented by a smooth, continuous curve, and vanish with the third power of the distance from the wall; the continuity equation be satisfied; and the ratio of the bulk velocity to centerline velocity agree with experimental data. The descripition is in excellent agreement with Laufer's experimental mean velocity data and, in general, provides a method of accurately predicting the mean velocity distribution.