Imperial College London
Alternate

ProfessorDemetriosPapageorgiou

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Maths and Mathematical Physics
 
 
 
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Contact

 

+44 (0)20 7594 8369d.papageorgiou Website

 
 
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Location

 

750Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Papageorgiou:2019:10.1146/annurev-fluid-122316-044531,
author = {Papageorgiou, DT},
doi = {10.1146/annurev-fluid-122316-044531},
journal = {Annual Review of Fluid Mechanics},
pages = {155--187},
title = {Film flows in the presence of electric fields},
url = {http://dx.doi.org/10.1146/annurev-fluid-122316-044531},
volume = {51},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The presence of electric fields in immiscible multifluid flows induces Maxwell stresses at sharp interfaces that can produce electrohydrodynamic phenomena of practical importance. Electric fields can be stabilizing or destabilizing depending on their strength and orientation. In microfluidics, fields can be used to drive systems out of equilibrium to produce hierarchical patterning, mixing, and phase separation. We describe nonlinear theories of electrohydrodynamic instabilities in immiscible multilayer flows in several geometries, including flows over or inside planar or topographically structured substrates and channels and flows in cylinders and cylindrical annuli. Matched asymptotic techniques are developed for two- and three-dimensional flows, and reduced-dimension nonlinear models are derived and studied. When all regions are slender, electrostatic extensions to lubrication or shallow-wave theories are derived. In the presence of nonslender layers, nonlocal terms emerge naturally to modify the evolution equations. Analysis and computations provide a plethora of dynamics, including nonlinear traveling waves, spatiotemporal chaos, and singularity formation. Direct numerical simulations are used to evaluate the models and go beyond their range of validity to quantify phenomena such as electric field–induced directed patterning, suppression of Rayleigh–Taylor instabilities, and electrostatically induced pumping in microchannels. Comparisons of theory and simulations with available experiments are included throughout.
AU  - Papageorgiou,DT
DO  - 10.1146/annurev-fluid-122316-044531
EP  - 187
PY  - 2019///
SN  - 0066-4189
SP  - 155
TI  - Film flows in the presence of electric fields
T2  - Annual Review of Fluid Mechanics
UR  - http://dx.doi.org/10.1146/annurev-fluid-122316-044531
UR  - https://www.annualreviews.org/doi/10.1146/annurev-fluid-122316-044531
UR  - http://hdl.handle.net/10044/1/79865
VL  - 51
ER  -
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