Particulate Science and Technology, 28: 51–66, 2010
Copyright © Taylor & Francis Group, LLC
ISSN: 0272-6351 print/1548-0046 online
DOI: 10.1080/02726350903405403
An Investigation into Modeling
of Solids Friction for Dense-Phase
Pneumatic Conveying of Powders
S. S. MALLICK AND P. W. WYPYCH
Centre for Bulk Solids and Particulate Technologies,
Faculty of Engineering, University of Wollongong,
Wollongong, Australia
This article presents results from an investigation into the modeling of solids friction
factor for fluidized dense-phase pneumatic conveying of powders. A fundamental
design approach was pursued by employing “straight pipe” and “back calculation”
techniques for modeling and using two types of power function formats. The
“straight pipe” models were found to be unexpectedly different depending on the
selected location of pressure-measuring tapping points (even for the same product).
An attempt to explain this variation by studying the “straight pipe” conveying
characteristics suggested significant changes in flow mechanisms along the pipe. The
derived models were evaluated for scaleup accuracy and stability by predicting for
larger and longer pipes. The results showed significant variations in predictions.
One format of power function model was found to result in more stable predictions
than the other. Possible explanations for the causes of such variations are provided.
Physical observations of the flow phenomena of dense-phase conveying for different
powders showed the products were mostly conveyed as a dense non-suspension
liquid-type-layer along the bottom of the pipe. This mechanism does not seem
to be correctly represented by the existing design approach of using a Froude
number term in the solids friction factor models, thus initiating a search for
suitable alternative dimensionless grouping(s) that can adequately represent the
non-suspension flow phenomena. In this study, Steady-state conveying data of three
different powders conveyed in various pipes (diameter/lengths) were used for the
purpose of modeling and scaleup investigations.
Keywords dense phase, pneumatic conveying, pressure drop, scaling up, solids
friction
Introduction
The pressure drop for a straight horizontal section of pipe for a solids-gas mixture
can be calculated using Equation (1), as given by Barth (1958). This expression
was considered by Weber (1981) as being applicable only to coarse particles in
dilute-phase flow. However, this equation has been used subsequently by various
S. S. Mallick would like to thank the University of Wollongong for the International
Tuition Fee Exemption Scholarship and the University Post Graduate Award (UPA), which
have enabled him to undertake Ph.D. studies.
Address correspondence to S. S. Mallick, Centre for Bulk Solids and Particulate
Technologies, Faculty of Engineering, University of Wollongong, Wollongong, N.S.W. 2522,
Australia. E-mail: soumyasuddha@gmail.com
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