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Studies of pressure build‐up due to particle deposition in a micro‐capillary with the use of three‐dimensional trajectory analysis
Author(s) -
Arshad A.,
Rahman M. S.,
Rahman S. S.
Publication year - 1993
Publication title -
journal of chemical technology and biotechnology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.64
H-Index - 117
eISSN - 1097-4660
pISSN - 0268-2575
DOI - 10.1002/jctb.280580411
Subject(s) - mechanics , trajectory , capillary action , drag , deposition (geology) , particle (ecology) , particle deposition , pressure drop , suspension (topology) , drop (telecommunication) , dispersion (optics) , van der waals force , materials science , chemistry , classical mechanics , physics , optics , composite material , mathematics , geology , mechanical engineering , engineering , turbulence , oceanography , paleontology , homotopy , organic chemistry , astronomy , sediment , molecule , pure mathematics
A model is proposed to predict the increase in pressure drop in a micro‐capillary due to the particle deposition. Collection efficiency was estimated from three‐dimensional (3D) trajectory analysis which is based on mass balance and considers dispersion forces (London‐van der Waals), hydrodynamic forces (gravity and drag), and electrical force (electrical double layer). An exponential function introduced to 3D trajectory analysis accounts for the effects of fluid velocity on the particle capture probability. Validity of the model is tested experimentally by circulating a 1000 ppm bentonite suspension at different flow rates through a micro‐capillary of diameter 100 μM. Experimental evidence indicates that the 3D trajectory analysis is limited to a few conditions of particle deposition in a micro‐capillary.