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@article{Crowdy:2020:10.1103/PhysRevFluids.5.124004,
author = {Crowdy, D},
doi = {10.1103/PhysRevFluids.5.124004},
journal = {Physical Review Fluids},
pages = {124004  1--124004  17},
title = {Collective viscous propulsion of a two-dimensional flotilla of Marangoni boats},
url = {http://dx.doi.org/10.1103/PhysRevFluids.5.124004},
volume = {5},
year = {2020}
}

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TY  - JOUR
AB  - A closed-form solution is presented for the collective Marangoni-induced motion of a two-dimensional periodic array, or “flotilla”, of Marangoni boats on deep water at zero Reynolds, capillary and surface P´eclet numbers. The physical set-up is identical to the model of Marangoni propulsion proposed by Lauga & Davis [J. Fluid Mech., 705, (2012)] but accounts now for interaction effects between boats, and in a simpler two-dimensional setting. The boats are modelled as identical thin floating strips each self-actuated by a trailing edge surfactant source that lowers the surface tension there according to a linear equation of state. The collective Marangoni propulsion speed of a flotilla of boats is found to be (2πµδ) −1σ log sec(πδ/2) where δ is the meniscus coverage fraction, µ is the subphase fluid viscosity and σ is the surfactant-induced surface tension disparity across each boat. The theoretical result exemplifies the mechanism for collective rectilinear motion due to Marangoni convection caused by the diffusion of insoluble surfactant.Keywords: Marangoni boat, camphor boat, viscous propulsion, active particle.
AU  - Crowdy,D
DO  - 10.1103/PhysRevFluids.5.124004
EP  - 1
PY  - 2020///
SN  - 2469-990X
SP  - 124004
TI  - Collective viscous propulsion of a two-dimensional flotilla of Marangoni boats
T2  - Physical Review Fluids
UR  - http://dx.doi.org/10.1103/PhysRevFluids.5.124004
UR  - https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.124004
UR  - http://hdl.handle.net/10044/1/85014
VL  - 5
ER  -

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