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@article{Tomlin:2020:10.1103/PhysRevFluids.5.013703,
author = {Tomlin, R and Cimpeanu, R and Papageorgiou, D},
doi = {10.1103/PhysRevFluids.5.013703},
journal = {Physical Review Fluids},
pages = {013703--1--013703--34},
title = {Instability and dripping of electrified liquid films flowing down inverted substrates},
url = {http://dx.doi.org/10.1103/PhysRevFluids.5.013703},
volume = {5},
year = {2020}
}

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TY  - JOUR
AB  - We consider the gravity-driven flow of a perfect dielectric, viscous, thin liquid film, wetting a flatsubstrate inclined at a non-zero angle to the horizontal. The dynamics of the thin film is influencedby an electric field which is set up parallel to the substrate surface – this nonlocal physical mechanismhas a linearly stabilizing effect on the interfacial dynamics. Our particular interest is in fluid filmsthat are hanging from the underside of the substrate; these films may drip depending on physicalparameters, and we investigate whether a sufficiently strong electric field can suppress such nonlinearphenomena. For a non-electrified flow, it was observed by Brun et al. (Phys. Fluids 27, 084107, 2015)that the thresholds of linear absolute instability and dripping are reasonably close. In the presentstudy, we incorporate an electric field and analyse the absolute/convective instabilities of a hierarchyof reduced-order models to predict the dripping limit in parameter space. The spatial stability resultsfor the reduced-order models are verified by performing an impulse–response analysis with directnumerical simulations (DNS) of the Navier–Stokes equations coupled to the appropriate electricalequations. Guided by the results of the linear theory, we perform DNS on extended domains withinflow/outflow conditions (mimicking an experimental set-up) to investigate the dripping limit forboth non-electrified and electrified liquid films. For the latter, we find that the absolute instabilitythreshold provides an order-of-magnitude estimate for the electric field strength required to suppressdripping; the linear theory may thus be used to determine the feasibility of dripping suppressiongiven a set of geometrical, fluid and electrical parameters.
AU  - Tomlin,R
AU  - Cimpeanu,R
AU  - Papageorgiou,D
DO  - 10.1103/PhysRevFluids.5.013703
EP  - 1
PY  - 2020///
SN  - 2469-990X
SP  - 013703
TI  - Instability and dripping of electrified liquid films flowing down inverted substrates
T2  - Physical Review Fluids
UR  - http://dx.doi.org/10.1103/PhysRevFluids.5.013703
UR  - https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.013703
UR  - http://hdl.handle.net/10044/1/75506
VL  - 5
ER  -

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ProfessorDemetriosPapageorgiou

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