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Limitations on a generalized velocity distribution
Author(s) -
Brodkey Robert S.
Publication year - 1963
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.690090408
Subject(s) - reynolds number , mathematics , constant (computer programming) , distribution (mathematics) , turbulence , newtonian fluid , representation (politics) , statistical physics , flow (mathematics) , mechanics , mathematical analysis , physics , geometry , computer science , politics , law , political science , programming language
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.