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Flow of viscous fluids over weirs
Author(s) -
Slocum E. W.
Publication year - 1964
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.5450420503
Subject(s) - dimensionless quantity , viscosity , mechanics , flow (mathematics) , newtonian fluid , volumetric flow rate , weir , mathematics , non newtonian fluid , thermodynamics , geology , physics , geography , cartography
Flow profiles have been determined experimentally for Newtonian fluids ranging in viscosity from 2,000 to 500,000 cp., flowing over knife‐edged weirs with heights varying from 0.1 to 4.6 in. It has been demonstrated that within the ranges of the variables studied the condition of a flowing system can be defined by specification of four dimensionless groups,\documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{h}{{P'}}\frac{x}{{P'}}\frac{Q}{{P^{3/2} \sqrt {g_L } }},\,{\rm and}\,\frac{\mu }{{P^{3/2} \rho \sqrt {g_L } }}. $$\end{document}These groups correspond, respectively, to generalized fluid height, distance upstream, flow rate, and viscosity. The results have been fitted by an empirical equation with a standard error of ± 10%.