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Stokes Drag on Self-Similar Clusters of Spheres

Rogak, Steven N. and Flagan, Richard C. (1990) Stokes Drag on Self-Similar Clusters of Spheres. Journal of Colloid and Interface Science, 134 (1). pp. 206-218. ISSN 0021-9797. https://resolver.caltech.edu/CaltechAUTHORS:20150805-110928917

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Abstract

Aggregation phenomena in gas and liquid phases often produce agglomerates that appear to be fractals in the sense that the cluster mass varies with the radius of gyration to a fractional power. The creeping (Stokes) flow around the cluster may be represented by the superposition of k single-sphere velocity fields chosen to satisfy the boundary conditions at k points on the cluster. Computations can be performed for large self-similar clusters of k" monomers by decomposing the cluster n times into smaller clusters which may be replaced by hydrodynamically equivalent spheres. The method recovers the correct results for chains, disks, and compact clusters. Computations done on random, connected clusters similar to real aggregates show that both the primary particle diameter and the cluster radius influence the drag. The influence of the primary particle size and other small-scale structure features is lost very rapidly as the fractal dimension increases above 1.3 and the number of monomers in the cluster increases above 100.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0021-9797(90)90268-SDOIArticle
http://www.sciencedirect.com/science/article/pii/002197979090268SPublisherArticle
ORCID:
AuthorORCID
Flagan, Richard C.0000-0001-5690-770X
Additional Information:© 1990 Academic Press, Inc. Received January 13, 1989; accepted March 20, 1989 This work has been supported by a subcontract from Physical Sciences Inc. on the U.S. Department of Energy Contract DE-AC22-86PC90751.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC22-86PC90751
Issue or Number:1
Record Number:CaltechAUTHORS:20150805-110928917
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150805-110928917
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59220
Collection:CaltechAUTHORS
Deposited By: Irina Meininger
Deposited On:02 Oct 2015 22:55
Last Modified:03 Oct 2019 08:44

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