Capillary interactions between dynamically forced particles adsorbed at a planar interface and on a bubble
File(s)
Author(s)
De Corato, M
Garbin, V
Type
Journal Article
Abstract
We investigate the dynamic interfacial deformation induced by micrometric particles exerting a periodic force on a planar interface or on a bubble, and the resulting lateral capillary interactions. Assuming that the deformation of the interface is small, neglecting the effect of viscosity and assuming point particles, we derive analytical formulas for the dynamic deformation of the interface. For the case of a planar interface the dynamic point force simply generates capillary waves, while for the case of a bubble it excites shape oscillations, with a dominant deformation mode that depends on the bubble radius for a given forcing frequency. We evaluate the lateral capillary force acting between two particles, by superimposing the deformations induced by two point forces. We find that the lateral capillary forces experienced by dynamically forced particles are non-monotonic and can be repulsive. The results are applicable to micrometric particles driven by different dynamic forcing mechanisms such as magnetic, electric or acoustic fields.
Date Issued
2018-07-25
Date Acceptance
2018-04-16
Citation
Journal of Fluid Mechanics, 2018, 847, pp.71-92
ISSN
0022-1120
Publisher
Cambridge University Press (CUP)
Start Page
71
End Page
92
Journal / Book Title
Journal of Fluid Mechanics
Volume
847
Copyright Statement
© 2018 Cambridge University Press.
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000434255400006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
capillary waves
colloids
drops and bubbles
LIQUID-LIQUID INTERFACE
FLUID INTERFACES
COLLOIDAL PARTICLES
WAVE RESISTANCE
VISCOUS DRAG
SURFACE
MONOLAYERS
SPHERES
FLOW
OSCILLATIONS
Publication Status
Published
Date Publish Online
2018-05-21