메뉴 건너뛰기




Volumn 26, Issue 6, 2005, Pages 2102-2132

Accurate and efficient boundary integral methods for electrified liquid bridge problems

Author keywords

Boundary integral method; Capillary instability; Electrified liquid bridge; Ewald's method

Indexed keywords

BOUNDARY CONDITIONS; BRIDGES; ELECTRIC FIELD EFFECTS; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; GRAVITATION; GREEN'S FUNCTION; INTEGRAL EQUATIONS; KINEMATICS; LIQUIDS; STRESS ANALYSIS;

EID: 27844493982     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/040604352     Document Type: Article
Times cited : (10)

References (30)
  • 3
    • 0033945243 scopus 로고    scopus 로고
    • The electrohydrodynamic stability of a liquid bridge: Microgravity experiments on a bridge suspended in a dielectric gas
    • C. L. BURCHAM AND D. A. SAVILLE (2000), The electrohydrodynamic stability of a liquid bridge: Microgravity experiments on a bridge suspended in a dielectric gas, J. Fluid Mech., 405, pp. 37-56.
    • (2000) J. Fluid Mech. , vol.405 , pp. 37-56
    • Burcham, C.L.1    Saville, D.A.2
  • 5
    • 84977266737 scopus 로고
    • Die berechnung optischer und elektrostatischen gitterpotentiale
    • P. P. EWALD (1921), Die Berechnung optischer und elektrostatischen Gitterpotentiale, Ann. Phys., 64, pp. 253-268.
    • (1921) Ann. Phys. , vol.64 , pp. 253-268
    • Ewald, P.P.1
  • 6
    • 0001589281 scopus 로고    scopus 로고
    • Nonlinear dynamics and breakup of free-surface flows
    • J. EGGERS (1997), Nonlinear dynamics and breakup of free-surface flows, Rev. Modern Phys., 3, pp. 865-929.
    • (1997) Rev. Modern Phys. , vol.3 , pp. 865-929
    • Eggers, J.1
  • 7
    • 0030480982 scopus 로고    scopus 로고
    • Extensional deformation of liquid bridges
    • S. GAUDET, G. H. MCKINLEY, AND H. A. STONE (1996), Extensional deformation of liquid bridges, Phys. Fluids A, 8, pp. 2568-2579.
    • (1996) Phys. Fluids A , vol.8 , pp. 2568-2579
    • Gaudet, S.1    Mckinley, G.H.2    Stone, H.A.3
  • 8
    • 0001599238 scopus 로고
    • The effect of residual gravity on the stability of liquid columns subjected to electric fields
    • H. GONZALEZ AND A. CASTELLANOS (1993), The effect of residual gravity on the stability of liquid columns subjected to electric fields, J. Fluid Mech., 249, pp. 185-206.
    • (1993) J. Fluid Mech. , vol.249 , pp. 185-206
    • Gonzalez, H.1    Castellanos, A.2
  • 9
    • 0024738561 scopus 로고
    • Stabilization of dielectric liquid bridges by electric fields in the absence of gravity
    • H. GONZALEZ, F. M. J. MCCLUSKEY, A. CASTELLANOS, AND A. BARRERO (1989), Stabilization of dielectric liquid bridges by electric fields in the absence of gravity, J. Fluid Mech., 206, pp. 545-561.
    • (1989) J. Fluid Mech. , vol.206 , pp. 545-561
    • Gonzalez, H.1    Mccluskey, F.M.J.2    Castellanos, A.3    Barrero, A.4
  • 10
    • 0000968412 scopus 로고    scopus 로고
    • Boundary integral methods for multi-component fluids and multiphase materials
    • T. Y. HOU, J. S. LOWENGRUB, AND M. J. SHELLEY (2001), Boundary integral methods for multi-component fluids and multiphase materials, J. Comput. Phys., 169, pp. 302-362.
    • (2001) J. Comput. Phys. , vol.169 , pp. 302-362
    • Hou, T.Y.1    Lowengrub, J.S.2    Shelley, M.J.3
  • 12
    • 84942912012 scopus 로고    scopus 로고
    • Linear integral equations, 2nd ed
    • Springer-Verlag, New York
    • R. KRESS (1999), Linear Integral Equations, 2nd ed., Appl. Math. Sci. 82, Springer-Verlag, New York.
    • (1999) Appl. Math. Sci. , vol.82
    • Kress, R.1
  • 14
    • 0032066150 scopus 로고    scopus 로고
    • The Green's function for the two-dimensional Helmholtz equation in periodic domains
    • C. M. LINTON (1998), The Green's function for the two-dimensional Helmholtz equation in periodic domains, J. Engrg. Math., 33, pp. 377-402.
    • (1998) J. Engrg. Math. , vol.33 , pp. 377-402
    • Linton, C.M.1
  • 15
    • 33746470767 scopus 로고    scopus 로고
    • Rapidly convergent representations for Green's functions for Laplace's equation
    • C. M. LINTON (1999), Rapidly convergent representations for Green's functions for Laplace's equation, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 455, pp. 1767-1797.
    • (1999) R. Soc. Lond. Proc. Ser. a Math. Phys. Eng. Sci. , vol.455 , pp. 1767-1797
    • Linton, C.M.1
  • 16
    • 0033717857 scopus 로고    scopus 로고
    • How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer
    • G. H. MCKINLEY AND A. TRIPATHI (2000), How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer, J. Rheol., 44, pp. 653-670.
    • (2000) J. Rheol. , vol.44 , pp. 653-670
    • Mckinley, G.H.1    Tripathi, A.2
  • 17
    • 0029169148 scopus 로고
    • On the breakup of viscous liquid threads
    • D. T. PAPAGEORGIOU (1995a), On the breakup of viscous liquid threads, Phys. Fluids, 7, pp. 1529-1544.
    • (1995) Phys. Fluids , vol.7 , pp. 1529-1544
    • Papageorgiou, D.T.1
  • 18
    • 0029387636 scopus 로고
    • Analytical description of the breakup of liquid jets
    • D. T. PAPAGEORGIOU (1995b), Analytical description of the breakup of liquid jets, J. Fluid Mech., 301, pp. 109-132.
    • (1995) J. Fluid Mech. , vol.301 , pp. 109-132
    • Papageorgiou, D.T.1
  • 19
    • 0029701846 scopus 로고    scopus 로고
    • Description of jet breakup
    • Y. Y. Renardy, A. C. Coward, D. T. Papageorgiou, and S.-M. Sun, eds., SIAM, Philadelphia
    • D. T. PAPAGEORGIOU (1996), Description of jet breakup, in Advances in Multi-fluid Flows, Y. Y. Renardy, A. C. Coward, D. T. Papageorgiou, and S.-M. Sun, eds., SIAM, Philadelphia, pp. 171-198.
    • (1996) Advances in Multi-fluid Flows , pp. 171-198
    • Papageorgiou, D.T.1
  • 20
    • 2942687182 scopus 로고    scopus 로고
    • Large amplitude capillary waves in electrified fluid sheets
    • D. T. PAPAGEORGIOU AND M. VANDEN-BROECK (2004), Large amplitude capillary waves in electrified fluid sheets, J. Fluid Mech., 508, pp. 71-88.
    • (2004) J. Fluid Mech. , vol.508 , pp. 71-88
    • Papageorgiou, D.T.1    Vanden-Broeck, M.2
  • 21
    • 0035655417 scopus 로고    scopus 로고
    • Linear oscillations and stability of a liquid bridge in an axial electric field
    • N. A. PELEKASIS, K. ECONOMOU, AND J. A. TSAMOPOULOS (2001), Linear oscillations and stability of a liquid bridge in an axial electric field, Phys. Fluids, 13, pp. 3564-3581.
    • (2001) Phys. Fluids , vol.13 , pp. 3564-3581
    • Pelekasis, N.A.1    Economou, K.2    Tsamopoulos, J.A.3
  • 23
    • 0000736524 scopus 로고    scopus 로고
    • Interfacial dynamics for Stokes flow
    • C. POZRIKIDIS (2001), Interfacial dynamics for Stokes flow, J. Comput. Phys., 169, pp. 250-301.
    • (2001) J. Comput. Phys. , vol.169 , pp. 250-301
    • Pozrikidis, C.1
  • 24
    • 84959645894 scopus 로고
    • Bifurcation diagrams of axisymmetric liquid bridges of arbitrary volume in electric and gravitational axial fields
    • A. RAMOS AND A. CASTELLANOS (1993), Bifurcation diagrams of axisymmetric liquid bridges of arbitrary volume in electric and gravitational axial fields, J. Fluid Mech., 249, pp. 207-225.
    • (1993) J. Fluid Mech. , vol.249 , pp. 207-225
    • Ramos, A.1    Castellanos, A.2
  • 25
    • 0028082953 scopus 로고
    • Experiments on dielectric liquid bridges subjected to axial electric fields
    • A. RAMOS, H. GONZALEZ, AND A. CASTELLANOS (1994), Experiments on dielectric liquid bridges subjected to axial electric fields, Phys. Fluids, 6, pp. 3206-3208.
    • (1994) Phys. Fluids , vol.6 , pp. 3206-3208
    • Ramos, A.1    Gonzalez, H.2    Castellanos, A.3
  • 26
    • 45749106469 scopus 로고
    • On the instability of jets
    • L. RAYLEIGH (1878), On the instability of jets, Proc. London Math. Soc., 10, pp. 4-13.
    • (1878) Proc. London Math. Soc. , vol.10 , pp. 4-13
    • Rayleigh, L.1
  • 27
    • 0001301944 scopus 로고
    • On the stability of a cylinder of viscous liquid under capillary force
    • L. RAYLEIGH (1892), On the stability of a cylinder of viscous liquid under capillary force, Phil. Mag., 34, p. 145.
    • (1892) Phil. Mag. , vol.34 , pp. 145
    • Rayleigh, L.1
  • 28
    • 0035920927 scopus 로고    scopus 로고
    • Transition from symmetric to asymmetric scaling function before drop pinch-off
    • A. ROTHERT, R. RICHTER, AND I. REHBERG (2001), Transition from symmetric to asymmetric scaling function before drop pinch-off, Phys. Rev. Lett., 87, 084501.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 084501
    • Rothert, A.1    Richter, R.2    Rehberg, I.3
  • 29
    • 3042686675 scopus 로고    scopus 로고
    • Formation of a drop: Viscosity dependence of three flow regimes
    • article 59
    • A. ROTHERT, R. RICHTER, AND I. REHBERG (2003), Formation of a drop: Viscosity dependence of three flow regimes, New J. Phys., 5, article 59.
    • (2003) New J. Phys. , vol.5
    • Rothert, A.1    Richter, R.2    Rehberg, I.3
  • 30
    • 0035657513 scopus 로고    scopus 로고
    • Dynamics and rupture of planar electrified liquid sheets
    • B. S. TILLEY, P. G. PETROPOULOS, AND D. T. PAPAGEORGIOU (2001), Dynamics and rupture of planar electrified liquid sheets, Phys. Fluids, 13, pp. 3547-3563.
    • (2001) Phys. Fluids , vol.13 , pp. 3547-3563
    • Tilley, B.S.1    Petropoulos, P.G.2    Papageorgiou, D.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.