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Kinematic‐wave analysis of particle settling in tube centrifuges
Author(s) -
Anestis Georg,
Schneider Wilhelm
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410337
Subject(s) - settling , mechanics , kinematics , flow (mathematics) , particle (ecology) , tube (container) , kinematic wave , physics , limit (mathematics) , diameter ratio , mathematics , classical mechanics , materials science , mathematical analysis , thermodynamics , geology , composite material , ecology , oceanography , biology , surface runoff
The kinematic‐wave theory of particle settling in tube centrifuges is subject to controversy. G. Anestis and W. Schneider [1] made the common assumption that the flow in a rotating tube of large length/diameter ratio can be treated in one‐dimensional approximation. Their results have been found in agreement with measurements [2], [3]. However, M. Ungarish [4] performed an analysis of the two‐dimensional settling process in the limit of vanishing particle concentration and obtained results that are not in accord with the one‐dimensional flow approximation, irrespective of the length/diameter ratio. It is the aim of the present investigation to gain a better understanding of the process. According to this analysis, quasi‐one‐dimensional kinematic waves are embedded in a two‐dimensional bulk flow that is governed by the boundary conditions at the walls of the tube. The results are compared with those of the one‐dimensional flow approximation. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)