Imperial College London

ProfessorDemetriosPapageorgiou

Faculty of Natural SciencesDepartment 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

Publication Type
Year
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122 results found

Papageorgiou DT, Wang Q, Using electric fields to induce patterning in leaky dielectric fluids in a rod-annular geometry, IMA Journal of Applied Mathematics, ISSN: 0272-4960

The stability and axisymmetric deformation of two immiscible, viscous, perfect or leaky dielectric fluids confined in the annulus between two concentric cylinders are studied in the presence of radial electricfields. The fields are set up by imposing a constant voltage potential difference between the inner andouter cylinders. We derive a set of equations for the interface in the long-wavelength approximation which retains the essential physics of the system and allows for interfacial deformations to be as large as the annular gap hence accounting for possible touchdown at the inner or outer electrode. The effects of the electric parameters are evaluated initially by performing a linear stability analysis which shows excellent agreement with the linear theory of the full axisymmetric problem in the appropriate long wavelengthregime. The nonlinear interfacial dynamics are investigated by carrying out direct numerical simulations of the derived long wave models, both in the absence and presence of electric fields. For non-electrified thin layer flows (i.e. one of the layers thin relative to the other) the long-time dynamics agree with thelubrication approximation results found in literature. When the liquid layers have comparable thickness our results demonstrate the existence of both finite time and infinite time singularities (asymptotic touching solutions) in the system. It is shown that a two-side touching solution is possible for both the non-electrified and perfect dielectric cases, while only one-side touching is found in the case of leaky dielectric liquids, where the flattened interface shape resembles the pattern solutions found in literature.Meanwhile the finite-time singular solution agrees qualitatively with the experiments of Reynolds (196

JOURNAL ARTICLE

Wray AW, Matar OK, Papageorgiou, Non-linear waves in electrified viscous film flow down a vertical cylinder, Ima Journal of Applied Mathematics, ISSN: 1464-3634

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Anderson TG, Cimpeanu R, Papageorgiou DT, Petropoulos PGet al., 2017, Electric field stabilization of viscous liquid layers coating the underside of a surface, PHYSICAL REVIEW FLUIDS, Vol: 2, ISSN: 2469-990X

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Dubrovina E, Craster RV, Papageorgiou DT, 2017, Two-layer electrified pressure-driven flow in topographically structured channels, JOURNAL OF FLUID MECHANICS, Vol: 814, Pages: 222-248, ISSN: 0022-1120

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Gomes SN, Kalliadasis S, Papageorgiou DT, Pavliotis GA, Pradas Met al., 2017, Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation, PHYSICA D-NONLINEAR PHENOMENA, Vol: 348, Pages: 33-43, ISSN: 0167-2789

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Gomes SN, Papageorgiou DT, Pavliotis GA, 2017, Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control, IMA JOURNAL OF APPLIED MATHEMATICS, Vol: 82, Pages: 158-194, ISSN: 0272-4960

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Kirk TL, Hodes M, Papageorgiou DT, 2017, Nusselt numbers for Poiseuille flow over isoflux parallel ridges accounting for meniscus curvature, JOURNAL OF FLUID MECHANICS, Vol: 811, Pages: 315-349, ISSN: 0022-1120

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Moore MR, Mughal MS, Papageorgiou DT, 2017, Ice formation within a thin film flowing over a flat plate, JOURNAL OF FLUID MECHANICS, Vol: 817, Pages: 455-489, ISSN: 0022-1120

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Papaefthymiou ES, Papageorgiou DT, 2017, Nonlinear stability in three-layer channel flows, JOURNAL OF FLUID MECHANICS, Vol: 829, ISSN: 0022-1120

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Tomlin RJ, Papageorgiou DT, Pavliotis GA, 2017, Three-dimensional wave evolution on electrified falling films, JOURNAL OF FLUID MECHANICS, Vol: 822, Pages: 54-79, ISSN: 0022-1120

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Wray AW, Papageorgiou DT, Matar OK, 2017, REDUCED MODELS FOR THICK LIQUID LAYERS WITH INERTIA ON HIGHLY CURVED SUBSTRATES, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 77, Pages: 881-904, ISSN: 0036-1399

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Kalogirou A, Cimpeanu R, Keaveny EE, Papageorgiou DTet al., 2016, Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models, JOURNAL OF FLUID MECHANICS, Vol: 806, ISSN: 0022-1120

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Kalogirou A, Papageorgiou DT, 2016, Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia, JOURNAL OF FLUID MECHANICS, Vol: 802, Pages: 5-36, ISSN: 0022-1120

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Thompson AB, Gomes SN, Pavliotis GA, Papageorgiou DTet al., 2016, Stabilising falling liquid film flows using feedback control, PHYSICS OF FLUIDS, Vol: 28, ISSN: 1070-6631

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Thompson AB, Tseluiko D, Papageorgiou DT, 2016, Falling liquid films with blowing and suction, JOURNAL OF FLUID MECHANICS, Vol: 787, Pages: 292-330, ISSN: 0022-1120

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Cimpeanu R, Papageorgiou DT, 2015, Electrostatically induced mixing in confined stratified multi-fluid systems, INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, Vol: 75, Pages: 194-204, ISSN: 0301-9322

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Gomes SN, Pradas M, Kalliadasis S, Papageorgiou DT, Pavliotis GAet al., 2015, Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems, PHYSICAL REVIEW E, Vol: 92, ISSN: 2470-0045

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Kalogirou A, Keaveny EE, Papageorgiou DT, 2015, An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol: 471, Pages: 20140932-20140932, ISSN: 1364-5021

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Lin T-S, Pradas M, Kalliadasis S, Papageorgiou DT, Tseluiko Det al., 2015, COHERENT STRUCTURES IN NONLOCAL DISPERSIVE ACTIVE-DISSIPATIVE SYSTEMS, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 75, Pages: 538-563, ISSN: 0036-1399

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Papaefthymiou ES, Papageorgiou DT, 2015, Vanishing viscosity limits of mixed hyperbolic–elliptic systems arising in multilayer channel flows, Nonlinearity, Vol: 28, Pages: 1607-1631, ISSN: 0951-7715

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Wang Q, Papageorgiou DT, Vanden-Broeck J-M, 2015, Korteweg–de Vries solitons on electrified liquid jets, Physical Review E, Vol: 91, ISSN: 1539-3755

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Wray AW, Papageorgiou DT, Craster RV, Sefiane K, Matar OKet al., 2015, Electrostatic suppression of the "coffee-stain effect", IUTAM SYMPOSIUM ON MULTIPHASE FLOWS WITH PHASE CHANGE: CHALLENGES AND OPPORTUNITIES, Vol: 15, Pages: 172-177, ISSN: 2210-9838

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Cimpeanu R, Papageorgiou DT, 2014, On the generation of nonlinear travelling waves in confined geometries using electric fields, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 372, ISSN: 1364-503X

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Cimpeanu R, Papageorgiou DT, Petropoulos PG, 2014, On the control and suppression of the Rayleigh-Taylor instability using electric fields, PHYSICS OF FLUIDS, Vol: 26, ISSN: 1070-6631

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Wray AW, Papageorgiou DT, Craster RV, Sefiane K, Matar OKet al., 2014, Electrostatic Suppression of the "Coffee Stain Effect", LANGMUIR, Vol: 30, Pages: 5849-5858, ISSN: 0743-7463

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Akrivis G, Papageorgiou DT, Smyrlis Y-S, 2013, On the analyticity of certain dissipative-dispersive systems, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 45, Pages: 52-60, ISSN: 0024-6093

JOURNAL ARTICLE

Cimpeanu R, Papageorgiou DT, 2013, Electrohydrodynamically induced mixing in immiscible multilayer flows

In the present study we investigate electrostatic stabilization mechanismsacting on stratified fluids. Electric fields have been shown to control andeven suppress the Rayleigh-Taylor instability when a heavy fluid lies abovelighter fluid. From a different perspective, similar techniques can also beused to generate interfacial dynamics in otherwise stable systems. We aim toidentify active control protocols in confined geometries that induce timedependent flows in small scale devices without having moving parts. This effecthas numerous applications, ranging from mixing phenomena to electriclithography. Two-dimensional computations are carried out and several suchprotocols are described. We present computational fluid dynamics videos withdifferent underlying mixing strategies, which show promising results.

JOURNAL ARTICLE

Papaefthymiou ES, Papageorgiou DT, Pavliotis GA, 2013, Nonlinear interfacial dynamics in stratified multilayer channel flows, JOURNAL OF FLUID MECHANICS, Vol: 734, Pages: 114-143, ISSN: 0022-1120

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Tseluiko D, Blyth MG, Papageorgiou DT, 2013, Stability of film flow over inclined topography based on a long-wave nonlinear model, JOURNAL OF FLUID MECHANICS, Vol: 729, Pages: 638-671, ISSN: 0022-1120

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Wray AW, Papageorgiou DT, Matar OK, 2013, Electrified coating flows on vertical fibres: enhancement or suppression of interfacial dynamics, JOURNAL OF FLUID MECHANICS, Vol: 735, Pages: 427-456, ISSN: 0022-1120

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