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A general correlation for purely viscous non‐newtonian fluids flowing in ducts of arbitrary cross‐section
Author(s) -
Tam K. C.,
Tiu C.
Publication year - 1988
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.5450660403
Subject(s) - laminar flow , newtonian fluid , mechanics , pressure drop , dimensionless quantity , turbulence , non newtonian fluid , physics , cross section (physics) , viscous liquid , flow (mathematics) , classical mechanics , thermodynamics , quantum mechanics
An alternative correlation for the flow of purely viscous non‐Newtonian fluids in ducts of arbitrary cross‐section is proposed. It involves two dimensionless groups which are\documentclass{article}\pagestyle{empty}\begin{document}$$\phi = \frac{{\tau \,_w \rho D^2 }}{{\eta _w^2 }}$$\end{document}Unique relationships exist between ϕ and Re * G for both laminar and turbulent flows which enable direct predictions of pressure drop from flow rate results or vice‐versa. Excellent agreement between the new correlations and available experimental data for purely viscous non‐Newtonian fluids flowing in circular tubes and square ducts is demonstrated.