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A new look at the laminar flow of power law fluids through granular beds

A new look at the laminar flow of power law fluids through granular beds The paper deals with laminar flow of power law fluids through granular beds. A critical review of the assumptions concerning the capillary model of the bed, applied by various authors, led us to the conclusion that the derivation of the correlation eq. [13] given byChristopher andMiddleman was based on a too simplified model of the granular bed. Taking advantage of the approach presented in the classical works ofKozeny andCarman (which seems to be partly overlooked by some authors, including our own previous works) a modified correlation equation for power law fluids [21], a corrected formula for shear rate in the bed [29] and for Deborah number [32], as well as corrected correlation equation for fluids exhibiting memory effects [34] were presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Rheologica Acta Springer Journals

A new look at the laminar flow of power law fluids through granular beds

Kemblowski, Z.; Michniewicz, M.
Rheologica Acta , Volume 18 (6) – Apr 4, 2005
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References (28)

Publisher
Springer Journals
Copyright
Copyright © 1979 by Dr. Dietrich Steinkopff Verlag
Subject
Materials Science; Characterization and Evaluation of Materials; Polymer Sciences; Soft and Granular Matter, Complex Fluids and Microfluidics; Mechanical Engineering; Food Science
ISSN
0035-4511
eISSN
1435-1528
DOI
10.1007/BF01533348
Publisher site
See Article on Publisher Site

Abstract

The paper deals with laminar flow of power law fluids through granular beds. A critical review of the assumptions concerning the capillary model of the bed, applied by various authors, led us to the conclusion that the derivation of the correlation eq. [13] given byChristopher andMiddleman was based on a too simplified model of the granular bed. Taking advantage of the approach presented in the classical works ofKozeny andCarman (which seems to be partly overlooked by some authors, including our own previous works) a modified correlation equation for power law fluids [21], a corrected formula for shear rate in the bed [29] and for Deborah number [32], as well as corrected correlation equation for fluids exhibiting memory effects [34] were presented.

Journal

Rheologica Acta – Springer Journals

Published: Apr 4, 2005

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