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On the attraction of floating particles

โœ Scribed by W.A. Gifford; L.E. Scriven


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
800 KB
Volume
26
Category
Article
ISSN
0009-2509

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โœฆ Synopsis


Capillary attraction between floating particles, a phenomenon of everyday experience as well as technological importance, is caused by interfacial tension and buoyancy forces that have defied calculation so far owing to the complicated shape of the intervening meniscus. The one exception is treated here: parallel, stationary cylinders of infinite length. Computations show that the attractive force falls off nearly exponentially with separation. The parallel configuration is unstable until cylinders make contact, as experiments with finite rods confirm.


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Abstraet--A new approach designed to aid in the construction of Liapunov functions is proposed. It is based on the notion of partial properties. A given dynamic system is imbedded into an augmented system whose attractivity with respect to a part of variables is deduced by means of an auxiliary func