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A collision efficiency model for flow‐induced coagulation of fractal aggregates
Author(s) -
Bäbler Matthäus U.
Publication year - 2008
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.11496
Subject(s) - collision , fractal , fractal dimension , coagulation , flow (mathematics) , mechanics , suspension (topology) , spheres , hamaker constant , statistical physics , colloid , collision frequency , chemistry , physics , mathematics , mathematical analysis , computer science , ion , computer security , psychiatry , psychology , homotopy , van der waals force , van der waals radius , organic chemistry , astronomy , molecule , pure mathematics
A model for flow‐induced collisions of fractal aggregates is developed. The model is based on the analysis of the relative trajectories between a pair of aggregates that takes into account their hydrodynamic and their colloidal interactions. Regarding the former, the aggregates are modeled as permeable spheres where the Brinkman equation is used to describe the flow inside the aggregates. Interparticle forces are incorporated by considering the forces between the primary particles in the two aggregates that are the nearest. The model results in a collision efficiency that depends on the masses of the colliding aggregates, the fractal dimension, and a nondimensional Hamaker constant characterizing the interparticle forces. The collision efficiency model is used to investigate the dynamics of a suspension undergoing coagulation. Significant deviations with respect to existing collision efficiency models are evidenced. © 2008 American Institute of Chemical Engineers AIChE J, 2008