Marangoni effect on small-amplitude capillary waves in viscous fluids
File(s)
Published version
Author(s)
Shen, L
Denner, F
Morgan, N
van Wachem, B
Dini, D
Type
Journal Article
Abstract
We derive a general integro-differential equation for the transient behavior of small-amplitude capillary waves on the planar surface of a viscous fluid in the presence of the Marangoni effect. The equation is solved for an insoluble surfactant solution in concentration below the critical micelle concentration undergoing convective-diffusive surface transport. The special case of a diffusion-driven surfactant is considered near the the critical damping wavelength. The Marangoni effect is shown to contribute to the overall damping mechanism, and a first-order term correction to the critical wavelength with respect to the surfactant concentration difference and the Schmidt number is proposed.
Date Issued
2017-11-20
Date Acceptance
2017-09-25
Citation
Physical Review E, 2017, 96, pp.053110-053110
ISSN
1539-3755
Publisher
American Physical Society
Start Page
053110
End Page
053110
Journal / Book Title
Physical Review E
Volume
96
Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/M021556/1
EP/N025954/1
Subjects
physics.flu-dyn
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Fluids & Plasmas
Publication Status
Published
Article Number
053110