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Capillary interactions between nearby interfacial objects
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He, Andong, Nguyen, Khoi and Mandre, Shreyas (2013) Capillary interactions between nearby interfacial objects. EPL (Europhysics Letters), 102 (3). 38001. doi:10.1209/0295-5075/102/38001 ISSN 0295-5075.
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Official URL: http://dx.doi.org/10.1209/0295-5075/102/38001
Abstract
We develop a general method to study the capillary interactions between objects of arbitrary shape which float close to each other on an interface, a regime in which multipole expansion is not useful. The force is represented as a power series in the small distance between the objects, of which the leading order is finite. For objects with size a much larger than the capillary length lc, the force scales as $\sqrt{a/l_c}$ and the prefactor depends on the mean radius of curvature R at the closest points. After contact the objects roll and/or slide with respect to each other to locally maximize R and therefore the force. For smaller objects ($a\ll l_c)$ , the force scales as $(a/l_c)^{-1}\log(a/l_c)^{-2}$ , and the prefactor depends only weakly on the shape and relative orientation of the objects.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | EPL (Europhysics Letters) | ||||||
Publisher: | Institute of Physics Publishing Ltd. | ||||||
ISSN: | 0295-5075 | ||||||
Official Date: | 14 May 2013 | ||||||
Dates: |
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Volume: | 102 | ||||||
Number: | 3 | ||||||
Article Number: | 38001 | ||||||
DOI: | 10.1209/0295-5075/102/38001 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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