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Published February 1984 | Submitted
Journal Article Open

Collision efficiencies of diffusing spherical particles: hydrodynamic, van der Waals and electrostatic forces

Abstract

A practical limitation of the application of Smoluchowski's classical estimate for the collisions probability of two diffusing spherical particles in Brownian motion is the non-consideration of interparticle forcves. For suspended particles in water such forces can arise from the disturbance the particle causes in the fluid (hydrodynamic forces), from the cloud of ions which surround an electrically charged particle (double layer forces) or they can be of molecular origin (van der Waals forces). In this paper corrections to Smoluckhowski's collision probability are computed when such forces operate Scoluchowski's collision probability are computed when such forces operate between two approaching particles of various sizes. Results for several values of the van der Waals energy of attraction and the ionic strength of the electrolyte are presented in a way convenient for particle collision modeling.

Additional Information

© 1984 Elsevier. The authors gratefully acknowledge the financial support of the Ocean Assessment Division - National Ocean Service - NOAA through Grant No. NA82RAD00004 and the Mellon Foundation through a grant to the Environmental Quality Laboratory at Caltech.

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Created:
August 19, 2023
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