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Analytic Model of Laminar‐Turbulent Transition for Bingham Plastics
Author(s) -
Wilson K. C.,
Thomas A. D.
Publication year - 2006
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.5450840502
Subject(s) - bingham plastic , laminar flow , turbulence , physics , transition point , friction factor , thickening , thermodynamics , humanities , mechanics , rheology , materials science , reynolds number , philosophy , polymer science
It is often desirable to operate industrial pipelines transporting non‐Newtonian materials near the transition from laminar to turbulent flow. For the commonly used Bingham plastic model, the Hedström technique overestimates turbulent flow friction losses because it does not take account of viscous‐layer thickening. In the present paper, the Wilson‐Thomas model is applied to predict the transition point for Bingham plastics. Laminar and turbulent friction losses are calculated to show that conditions at transition depend only on the Hedström number. The results are approximated by simplified fit functions. Comparison with existing empirical correlations and experimental data from various sources shows satisfactory agreement.