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This article studies the spreading of a charged microdroplet using the lubrication approximation.
Physical Description
22 p.
Notes
Abstract: We consider the spreading of a charged microdroplet on a at dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This leads to a third order nonlinear partial differential equation that gives the evolution of the height profile. Assuming the droplets are circular we are able to prove existence of solutions with infinite contact angle and in many cases we are able to prove nonexistence of solutions with finite contact angle.
Publication Title:
Electronic Journal of Differential Equations
Volume:
2013
Issue:
202
Peer Reviewed:
Yes
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