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@article{Shen:2017:10.1103/PhysRevE.96.053110,
author = {Shen, L and Denner, F and Morgan, N and van, Wachem B and Dini, D},
doi = {10.1103/PhysRevE.96.053110},
journal = {Physical Review E},
pages = {053110--053110},
title = {Marangoni effect on small-amplitude capillary waves in viscous fluids},
url = {http://dx.doi.org/10.1103/PhysRevE.96.053110},
volume = {96},
year = {2017}
}
TY - JOUR
AB - 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.
AU - Shen,L
AU - Denner,F
AU - Morgan,N
AU - van,Wachem B
AU - Dini,D
DO - 10.1103/PhysRevE.96.053110
EP - 053110
PY - 2017///
SN - 1539-3755
SP - 053110
TI - Marangoni effect on small-amplitude capillary waves in viscous fluids
T2 - Physical Review E
UR - http://dx.doi.org/10.1103/PhysRevE.96.053110
UR - http://hdl.handle.net/10044/1/51885
VL - 96
ER -