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TitleThe maximum thickness of upper shear layers of granular materials in rotating cylinders
Publication TypeJournal Article
Year of Publication2005
AuthorsWeir, G., Krouse D.P., and McGavin P.
JournalChemical Engineering Science
Volume60
Issue7
Pagination2027 - 2035
Date Published2005
ISSN00092509 (ISSN)
KeywordsCylinders (shapes), Dispersions, Fluid dynamics, Francium, Froude number, Granular materials, granular medium, mathematical analysis, MATHEMATICAL MODELS, Molecular Structure, Particle diameter, Particle size analysis, Rotating cylinders, shear layer, Shear layers, solid flow, Thickness measurement
AbstractPublished data from Henein et al. (Metallurgical Transactions 14B (1983a) 191-206), Woodle and Munro (Powder Technology 76 (1993) 241-245), Boateng and Barr (Journal of Fluid Mechanics 330 (1997) 233-249), Van Puyvelde et al. (Transactions of the Institute of Chemical Engineers 78A (2000) 643-650), and Felix et al. (Powder Technology 128 (2002) 314-319) on the maximum thickness of shear layers at the upper surface of a freely flowing granular material being rotated in a cylindrical drum are modeled and analyzed. A theory is developed which suggests that all distances should be scaled by xm, or half the length of the shear layer, which should remove most of the explicit dependence on the filled fraction. The rolling regime is predicted to contain two extreme regimes. The dispersive (inertial) regime occurs when the parameter Fr s(xm/σ)4/3 is small (large), and is characterized by the dominance of dispersive (inertial) effects. Here Fr s is a particle-dependent Froude number scaled by xm, and σ is the particle diameter. An author-dependent and particle-dependent parameter λ is introduced to account for the different definitions and particle types used. Regression analysis shows that most of the data sets above (for the rolling regime) are approximately described by the dispersive regime. Our theory predicts that shear layers in the rolling regime should be almost identical for fill fractions symmetric about the half-filled level. All of the data analyzed satisfy essentially the same scale-up relationship, and does not support the idea that the maximum shear layer thickness should be about ten particle diameters. © 2005 Elsevier Ltd. All rights reserved.
URLhttp://www.scopus.com/inward/record.url?eid=2-s2.0-13844275047&partnerID=40&md5=78ac1a842763858eb0dac8c63ac6e5a7
DOI10.1016/j.ces.2004.11.025

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