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Volumn 666, Issue , 2011, Pages 155-188

Interfacial instability in electrified plane Couette flow

Author keywords

instability; interfacial flows (free surface); MHD and electrohydrodynamics

Indexed keywords

ELECTRODES; ELECTROHYDRODYNAMICS; FLUID MECHANICS; FLUIDITY; NUMERICAL MODELS; PERMITTIVITY; PLASMA STABILITY; PLATES (STRUCTURAL COMPONENTS); SHEAR FLOW; STABILITY; VISCOSITY;

EID: 79951654716     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010004155     Document Type: Article
Times cited : (16)

References (49)
  • 2
    • 0031808294 scopus 로고    scopus 로고
    • Electrohydrodynamic instability in a thin fluid layer with an electrical conductivity gradient
    • Baygents, J. C. & Baldessari, F. 1998 Electrohydrodynamic instability in a thin fluid layer with an electrical conductivity gradient. Phys. Fluids 10, 301-311.
    • (1998) Phys. Fluids , vol.10 , pp. 301-311
    • Baygents, J.C.1    Baldessari, F.2
  • 4
    • 84987401170 scopus 로고
    • The horizontal pipeline flow of equal density oil-water mixtures
    • Charles, M. E., Govier, G. W. & Hodgson, G. W. 1961 The horizontal pipeline flow of equal density oil-water mixtures. Can. J. Chem. Engng 39, 27-36.
    • (1961) Can. J. Chem. Engng , vol.39 , pp. 27-36
    • Charles, M.E.1    Govier, G.W.2    Hodgson, G.W.3
  • 5
    • 14844296486 scopus 로고    scopus 로고
    • Convective and absolute electrokinetic instability with conductivity gradients
    • DOI 10.1017/S0022112004002381
    • Chen, C. H., Lin, H., Lele, S. K. & Santiago, J. G. 2005 Convective and absolute electrokinetic instability with conductivity gradients. J. Fluid Mech. 524, 263-303. (Pubitemid 40350643)
    • (2005) Journal of Fluid Mechanics , vol.524 , pp. 263-303
    • Chen, C.-H.1    Lin, H.2    Lele, S.K.3    Santiago, J.G.4
  • 6
    • 15844366945 scopus 로고    scopus 로고
    • Electrically induced pattern formation in thin leaky dielectric films
    • Craster, R. V. & Matar, O. K. 2005 Electrically induced pattern formation in thin leaky dielectric films. Phys. Fluids 17, 321041.
    • (2005) Phys. Fluids , vol.17 , pp. 321041
    • Craster, R.V.1    Matar, O.K.2
  • 7
    • 0030401362 scopus 로고    scopus 로고
    • Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems
    • DOI 10.1016/S0168-9274(96)00049-9, PII S0168927496000499
    • Dongarra, J. J., Straughan, B. & Walker, D. W. 1996 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamics stability problems. Appl. Num. Math. 22, 399-434. (Pubitemid 126375600)
    • (1996) Applied Numerical Mathematics , vol.22 , Issue.4 , pp. 399-434
    • Dongarra, J.J.1    Straughan, B.2    Walker, D.W.3
  • 9
    • 4143091025 scopus 로고    scopus 로고
    • Electro-hydrodynamic microfluidic mixer
    • El Moctar, A. O., Aubry, N. & Batton, J. 2003 Electro-hydrodynamic microfluidic mixer. Lab on a Chip 3, 273-280.
    • (2003) Lab on A Chip , vol.3 , pp. 273-280
    • El Moctar, A.O.1    Aubry, N.2    Batton, J.3
  • 11
    • 42749098813 scopus 로고    scopus 로고
    • Breakup of a fluid thread in a conned geometry: Droplet-plug transition, perturbation sensitivity, and kinetic stabilization with connement
    • Hagerdon, J. G., Martyn, N. S. & Douglas, J. F. 2004 Breakup of a fluid thread in a conned geometry: droplet-plug transition, perturbation sensitivity, and kinetic stabilization with connement. Phys. Rev. E 69, 056312.
    • (2004) Phys. Rev. e , vol.69 , pp. 056312
    • Hagerdon, J.G.1    Martyn, N.S.2    Douglas, J.F.3
  • 12
    • 0019367877 scopus 로고
    • Volume of fluid (vof) method for the dynamics of free boundaries
    • Hirt, C. W. & Ni chols, B. D. 1981 Volume of fluid (vof) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201-225.
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Ni Chols, B.D.2
  • 13
    • 0001120469 scopus 로고
    • The stability of two superposed viscous fluids in a channel
    • Hooper, A. P. 1989 The stability of two superposed viscous fluids in a channel. Phys. Fluids A 1 (7), 1133-1142.
    • (1989) Phys. Fluids A , vol.1 , Issue.7 , pp. 1133-1142
    • Hooper, A.P.1
  • 14
    • 0020719117 scopus 로고
    • SHEAR-FLOW INSTABILITY AT THE INTERFACE BETWEEN TWO VISCOUS FLUIDS
    • Hooper, A. P. & Boyd, W. G. C. 1983 Shear-flow instability at the interface between two viscous fluids. J. Fluid Mech. 128, 507-528. (Pubitemid 13544467)
    • (1983) Journal of Fluid Mechanics , vol.128 , pp. 507-528
    • Hooper, A.P.1    Boyd, W.G.C.2
  • 17
    • 2942543066 scopus 로고    scopus 로고
    • An immersed interface method for incompressible Navier-Stokes equations
    • Lee, L. & LeVeque, R. J. 2003 An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Numer. Anal. 25, 832-856.
    • (2003) SIAM J. Numer. Anal. , vol.25 , pp. 832-856
    • Lee, L.1    Leveque, R.J.2
  • 18
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque, R. J. & Li, Z. 1994 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 13, 1019-1044.
    • (1994) SIAM J. Numer. Anal. , vol.13 , pp. 1019-1044
    • Leveque, R.J.1    Li, Z.2
  • 19
    • 34547458148 scopus 로고    scopus 로고
    • Linear stability of a two-fluid interface for electrohydrodynamic mixing in a channel
    • DOI 10.1017/S0022112007006222, PII S0022112007006222
    • Li, F., Ozen, O., Aubry, N., Papageorgiou, D. T. & Petropoulos, P. G. 2007 Linear stability of a two-fluid interface for electrohydrodynamic mixing. J. Fluid Mech. 583, 347-377. (Pubitemid 47161947)
    • (2007) Journal of Fluid Mechanics , vol.583 , pp. 347-377
    • Li, F.1    Ozen, O.2    Aubry, N.3    Papageorgiou, D.T.4    Petropoulos, P.G.5
  • 20
    • 2942635368 scopus 로고    scopus 로고
    • Instability of electrokinetic microchannel flows with conductivity gradients
    • DOI 10.1063/1.1710898
    • Lin, H., Storey, B. D., Oddy, M. H., Chen, C. H. & Santiago, J. G. 2004 Instability of electrokinetic microchannel flows with conductivity gradients. Phys. Fluids 16, 1922-1935. (Pubitemid 38768008)
    • (2004) Physics of Fluids , vol.16 , Issue.6 , pp. 1922-1935
    • Lin, H.1    Storey, B.D.2    Oddy, M.H.3    Chen, C.-H.4    Santiago, J.G.5
  • 21
  • 22
    • 67650886235 scopus 로고    scopus 로고
    • Numerical study of electric field effects on the deformation of two-dimensional liquid drops in simple shear flow at arbitrary Reynolds number
    • Mählmann, S. & Papageorgiou, D. T. 2009 Numerical study of electric field effects on the deformation of two-dimensional liquid drops in simple shear flow at arbitrary Reynolds number. J. Fluid Mech. 626, 367-393.
    • (2009) J. Fluid Mech. , vol.626 , pp. 367-393
    • Mählmann, S.1    Papageorgiou, D.T.2
  • 23
    • 0014379914 scopus 로고
    • Interfacial relaxation overinstability in a tangential electric field
    • Melcher, J. R. & Schwarz, W. J. Jr. 1968 Interfacial relaxation overinstability in a tangential electric field. Phys. Fluids 11 (12), 2604-2616.
    • (1968) Phys. Fluids , vol.11 , Issue.12 , pp. 2604-2616
    • Melcher, J.R.1    Schwarz Jr., W.J.2
  • 24
    • 0014492157 scopus 로고
    • Electrohydrodynamic charge relaxation and interfacial perpendicular-field instability
    • Melcher, J. R. & Smith, C. V. Jr. 1969 Electrohydrodynamic charge relaxation and interfacial perpendicular-field instability. Phys. Fluids 12 (4), 778-790.
    • (1969) Phys. Fluids , vol.12 , Issue.4 , pp. 778-790
    • Melcher, J.R.1    Smith Jr., C.V.2
  • 25
    • 0001574355 scopus 로고
    • Electrohydrodynamics: A Review of the Role of Interfacial Shear Stresses
    • Melcher, J. R. & Taylor, G. I. 1969 Electrohydrodynamics: A Review of the Role of Interfacial Shear Stresses. Annual Review of Fluid Mechanics 1, 111-146.
    • (1969) Annual Review of Fluid Mechanics , vol.1 , pp. 111-146
    • Melcher, J.R.1    Taylor, G.I.2
  • 26
    • 65649151436 scopus 로고    scopus 로고
    • Electrokinetic instabilities of non-dilute colloidal suspensions
    • Navaneetham, G. & Posner, J. D. 2009 Electrokinetic instabilities of non-dilute colloidal suspensions. J. Fluid Mech. 619, 331-365.
    • (2009) J. Fluid Mech. , vol.619 , pp. 331-365
    • Navaneetham, G.1    Posner, J.D.2
  • 27
    • 44749084234 scopus 로고
    • Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher, S. & Sethian, J. 1988 Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12-49.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 29
    • 33745609009 scopus 로고    scopus 로고
    • Nonlinear stability of a charged electrified viscous liquid film under the action of a horizontal electric field
    • Ozen, O., Papageorgiou, D. T. & Petropoulos, P. G. 2006b Nonlinear stability of a charged electrified viscous liquid film under the action of a horizontal electric field. Phys. Fluids 18 (4), 042102.
    • (2006) Phys. Fluids , vol.18 , Issue.4 , pp. 042102
    • Ozen, O.1    Papageorgiou, D.T.2    Petropoulos, P.G.3
  • 31
    • 2942687182 scopus 로고    scopus 로고
    • Large-amplitude capillary waves in electrified fluid sheets
    • DOI 10.1017/S0022112004008997
    • Papageorgiou, D. T. & Vanden-Broeck, J.-M. 2004b Large amplitude capillary waves in electrified fluid sheets. J. Fluid Mech. 508, 71-88. (Pubitemid 38783837)
    • (2004) Journal of Fluid Mechanics , vol.508 , pp. 71-88
    • Papageorgiou, D.T.1    Vanden-Broeck, J.-M.2
  • 32
    • 0017424014 scopus 로고
    • Numerical analysis ofblood flow in the heart
    • Peskin, C. S. 1977 Numerical analysis ofblood flow in the heart. J. Comput. Phys. 25, 220-252.
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 33
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin, C. S. 2002 The immersed boundary method. Acta Numerica 11, 1-39.
    • (2002) Acta Numerica , vol.11 , pp. 1-39
    • Peskin, C.S.1
  • 34
    • 33749451031 scopus 로고    scopus 로고
    • Convective instability of electrokinetic flows in a cross-shaped microchannel
    • DOI 10.1017/S0022112005008542, PII S0022112005008542
    • Posner, J. D. & Santiago, J. G. 2006 Convective instability of electrokinetic flows in a cross-shaped microchannel. J. Fluid Mech. 555, 1-42. (Pubitemid 44508860)
    • (2006) Journal of Fluid Mechanics , vol.555 , pp. 1-42
    • Posner, J.D.1    Santiago, J.G.2
  • 35
    • 0000736524 scopus 로고    scopus 로고
    • Interfacial dynamics for Stokes flow
    • Pozrikidis, C. S. 2001 Interfacial dynamics for Stokes flow. J. Comput. Phys. 169, 250-301.
    • (2001) J. Comput. Phys. , vol.169 , pp. 250-301
    • Pozrikidis, C.S.1
  • 37
    • 0008758056 scopus 로고
    • The thin layer effect and interfacial stability in a two-layer Couette flow with similar liquids
    • Renardy, Y. 1987 The thin layer effect and interfacial stability in a two-layer Couette flow with similar liquids. Phys. Fluids 30 (6), 1627-1637.
    • (1987) Phys. Fluids , vol.30 , Issue.6 , pp. 1627-1637
    • Renardy, Y.1
  • 38
    • 0008421466 scopus 로고    scopus 로고
    • Electrohydrodyamics: The Taylor-Melcher dielectric model
    • Saville, D. A. 1997 Electrohydrodyamics: the Taylor-Melcher dielectric model. Annu. Rev. Fluid Mech. 29, 27-64.
    • (1997) Annu. Rev. Fluid Mech. , vol.29 , pp. 27-64
    • Saville, D.A.1
  • 39
    • 0037055761 scopus 로고    scopus 로고
    • Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity
    • Shin, S. & Juric, D. 2002 Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. J. Comput. Phys. 180, 427-470.
    • (2002) J. Comput. Phys. , vol.180 , pp. 427-470
    • Shin, S.1    Juric, D.2
  • 41
    • 24144474313 scopus 로고    scopus 로고
    • Electrohydrodynamic instability of the interface between two fluids confined in a channel
    • Thaokar, R. M. & Kumaran, V. 2005 Electrohydrodynamic instability of the interface between two fluids confined in a channel. Phys. Fluids 17 (8), 84104-1.
    • (2005) Phys. Fluids , vol.17 , Issue.8 , pp. 84104-84101
    • Thaokar, R.M.1    Kumaran, V.2
  • 44
    • 43149119039 scopus 로고    scopus 로고
    • Effect of an electric field on film flow down a corrugated wall at zero Reynolds number
    • Tseluiko, D., Blyth, M. G., Papageorgiou, D. T. & Vanden-Broeck, J. M. 2008 Effect of an electric field on film flow down a corrugated wall at zero Reynolds number. Phys. Fluids 20, 042103.
    • (2008) Phys. Fluids , vol.20 , pp. 042103
    • Tseluiko, D.1    Blyth, M.G.2    Papageorgiou, D.T.3    Vanden-Broeck, J.M.4
  • 45
    • 53549109969 scopus 로고    scopus 로고
    • Quantifying the linear stability of a flowing electrified two-fluid layer in a channel for fast electric times for normal and parallel electric fields
    • Uguz, A. K. & Aubry, N. 2008 Quantifying the linear stability of a flowing electrified two-fluid layer in a channel for fast electric times for normal and parallel electric fields. Phys. Fluids 20, 092103.
    • (2008) Phys. Fluids , vol.20 , pp. 092103
    • Uguz, A.K.1    Aubry, N.2
  • 46
    • 41849085172 scopus 로고    scopus 로고
    • Electric field effect on a two-fluid interface instability in channel flow for fast electric times
    • Uguz, A. K., Ozen, O. & Aubry, N. 2008 Electric field effect on a two-fluid interface instability in channel flow for fast electric times. Phys. Fluids 20, 031702.
    • (2008) Phys. Fluids , vol.20 , pp. 031702
    • Uguz, A.K.1    Ozen, O.2    Aubry, N.3
  • 47
    • 3242694679 scopus 로고
    • A front-tracking method for viscous incompressible, multi-fluid flows
    • Unverdi, O. & Tryggvason, G. 1992 A front-tracking method for viscous incompressible, multi-fluid flows. J. Comput. Phys. 100, 25-37.
    • (1992) J. Comput. Phys. , vol.100 , pp. 25-37
    • Unverdi, O.1    Tryggvason, G.2
  • 48
    • 0023795715 scopus 로고
    • Linear stability of plane Poiseuille flow of two superposed fluids
    • Yiantsios, S. G., Brian, G. & Higgins, G. 1988 Linear stability of plane Poiseuille flow of two superposed fluids. Phys. Fluids 31 (11), 3225-3238.
    • (1988) Phys. Fluids , vol.31 , Issue.11 , pp. 3225-3238
    • Yiantsios, S.G.1    Brian, G.2    Higgins, G.3
  • 49
    • 84974380140 scopus 로고
    • Instability due to viscosity stratification
    • Yih, C. S. 1967 Instability due to viscosity stratification. J. Fluid Mech. 27, 337-352.
    • (1967) J. Fluid Mech. , vol.27 , pp. 337-352
    • Yih, C.S.1


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