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{Anderson:2017:10.1103/PhysRevFluids.2.054001,
author = {Anderson, TG and Cimpeanu, R and Papageorgiou, DT and Petropoulos, PG},
doi = {10.1103/PhysRevFluids.2.054001},
journal = {PHYSICAL REVIEW FLUIDS},
title = {Electric field stabilization of viscous liquid layers coating the underside of a surface},
url = {http://dx.doi.org/10.1103/PhysRevFluids.2.054001},
volume = {2},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We investigate the electrostatic stabilization of a viscous thin film wetting the underside of a horizontal surface in the presence of an electric field applied parallel to the surface. The model includes the effect of bounding solid dielectric regions above and below the liquid-air system that are typically found in experiments. The competition between gravitational forces, surface tension, and the nonlocal effect of the applied electric field is captured analytically in the form of a nonlinear evolution equation. A semispectral solution strategy is employed to resolve the dynamics of the resulting partial differential equation. Furthermore, we conduct direct numerical simulations (DNS) of the Navier-Stokes equations using the volume-of-fluid methodology and assess the accuracy of the obtained solutions in the long-wave (thin-film) regime when varying the electric field strength from zero up to the point when complete stabilization occurs. We employ DNS to examine the limitations of the asymptotically derived behavior as the liquid layer thickness increases and find excellent agreement even beyond the regime of strict applicability of the asymptotic solution. Finally, the asymptotic and computational approaches are utilized to identify robust and efficient active control mechanisms allowing the manipulation of the fluid interface in light of engineering applications at small scales, such as mixing.
AU  - Anderson,TG
AU  - Cimpeanu,R
AU  - Papageorgiou,DT
AU  - Petropoulos,PG
DO  - 10.1103/PhysRevFluids.2.054001
PY  - 2017///
SN  - 2469-990X
TI  - Electric field stabilization of viscous liquid layers coating the underside of a surface
T2  - PHYSICAL REVIEW FLUIDS
UR  - http://dx.doi.org/10.1103/PhysRevFluids.2.054001
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000401243600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/49022
VL  - 2
ER  -
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