Low Knudsen Number Creeping Motion of Two Touching Spheres

[+] Author and Article Information
L. D. Reed

Battelle Columbus Laboratories, Columbus, Ohio

F. A. Morrison

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, Ill.

J. Appl. Mech 43(4), 575-578 (Dec 01, 1976) (4 pages) doi:10.1115/1.3423934 History: Received February 01, 1976; Revised June 01, 1976; Online July 12, 2010


The creeping motion of an aerosol aggregate composed of two touching spheres is investigated. A continuum-slip theory, suitable for small values of Knudsen number, is developed. The drag on a pair of equal spheres moving along their line of centers is determined. For vanishing Knudsen number, this drag reduces to Faxén’s result. Theoretical results for the effect of small Knudsen number are compared with an approximate expression based on calculations for separated spheres.

Copyright © 1976 by ASME
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