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Entrance laminar flows of viscoplastic fluids in concentric annuli
Author(s) -
Round G. F.,
Yu S.
Publication year - 1993
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.5450710417
Subject(s) - bingham plastic , laminar flow , pressure drop , mechanics , concentric , mathematics , turbulence , viscoplasticity , power law , physics , thermodynamics , rheology , geometry , constitutive equation , finite element method , statistics
Developing flows of generalized Bingham (Herschel‐Bulkley) fluids in concentric annuli were studied numerically. A control volume approach based upon an upwinding finite difference technique was used to solve the equation of motion. The results in terms of velocity and pressure drop profiles are shown graphically. Radius ratios of 0.02, 0.2, 0.4 and 0.6; power‐law indices ( n ) of 0.7, 1.0 and 1.2; generalized Bingham numbers of 5, 10 and 15 were investigated. At present, there are no experimental results with which to make comparisons. However, there are results for fully developed flows and comparison has been made with these. In all cases the agreement was good.