✦ LIBER ✦

Limitations on a generalized velocity distribution

✍ Scribed by Robert S. Brodkey

Publisher: American Institute of Chemical Engineers
Year: 1963
Tongue: English
Weight: 339 KB
Volume: 9
Category: Article
ISSN: 0001-1541
DOI: 10.1002/aic.690090408

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✦ Synopsis

Abstract

The usefulness of the Pai power series representation for the velocity distribution has been limited because of the lack of knowledge about the functional dependence of the empirical integer constant on the Reynolds number. Correlations are given for this constant for both Newtonian and non‐Newtonian materials; however, certain limitations are found as a result of actual velocity distribution calculations.

The equation represents the distribution over most of the turbulent core at all Reynolds numbers, but deviates widely at about a y^+^ of 75 for Reynolds numbers greater than 100,000. Below this, the equation provides a satisfactory representation over the entire flow field.

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