Numerical simulation of drop deformations and breakup modes caused by direct current electric fields

Physics of Fluids

Volumn 24, Issue 10, 2012, Pages

  Paknemat, H ^a   Pishevar, A R ^a   Pournaderi, P ^a  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DEFORMATION; DROP BREAKUP; ELECTRIC FIELDS; NUMERICAL MODELS;

CAPILLARY NUMBERS; DIRECT CURRENT ELECTRIC FIELDS; DRIVING FORCES; DROP DEFORMATION; DYNAMIC BEHAVIORS; ELECTRIC MODELS; GHOST FLUID METHOD; LEVEL SET METHOD;

NUMERICAL METHODS;

EID: 84868620052     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4754737     Document Type: Article

References (38)

1. Saville D.A. Electrohydrodynamics: The Taylor-Melcher leaky dielectric model. Annu. Rev. Fluid Mech. 1997, 29:27. 10.1146/annurev.fluid.29.1.27
2. O'Konski C.T. Thacher H.C. The distortion of aerosol droplets by electric field. J. Phys. Chem. 1953, 57:955. 10.1021/j150510a024, and
3. O'Konski C.T. Harris F.E. Electric free energy and deformation of droplets in electrically conducting systems. J. Phys. Chem. 1957, 61:1172. 10.1021/j150555a009, and
4. Allan R.S. Mason S.G. Particle behavior in shear and electric fields. I. Deformation and burst of fluid drop. Proc. R. Soc. London, Ser. A 1962, 267(1328):45. 10.1098/rspa.1962.0082, and
5. Garton C.G. Krasucki Z. Bubbles in insulating liquids: Stability in an electric field. Proc. R. Soc. London, Ser. A 1964, 280(1381):211. 10.1098/rspa.1964.0141, and
6. Taylor G.I. Studies in electrohydrodynamics. I. The circulation produced in a drop by electrical field. Proc. R. Soc. London, Ser. A 1966, 291:159. 10.1098/rspa.1966.0086
7. Melcher J.R. Taylor G.I. Electrohydrodynamics: A review of the role of interfacial shear stresses. Annu. Rev. Fluid Mech. 1969, 1:111. 10.1146/annurev.fl.01.010169.000551, and
8. Torza S. Cox R.G. Mason S.G. Electrohydrodynamic deformation and burst of liquid drops. Philos. Trans. R. Soc. London, Ser. A 1971, 269:295. 10.1098/rsta.1971.0032, and
9. Zholkovskij E.K. Masilyah J.H. Czarnecki J. An electrokinitic model of drop deformation in an electric field. J. Fluid Mech. 2002, 472:1. 10.1017/S0022112002001441, and
10. Krause S. Chandratreya P. Electrorotation of deformable fluid droplets. J. Colloid Interface Sci. 1998, 206:10. 10.1006/jcis.1998.5716, and
11. Brazier-Smith P.R. Stability and shape of isolated and pairs of water drops in an electric field. Phys. Fluids 1971, 14(1):1. 10.1063/1.1693258
12. Sherwood J.D. Breakup of fluid droplets in electric and magnetic fields. J. Fluid Mech. 1988, 188:133. 10.1017/S0022112088000667
13. Basaran O.A. Scriven L.E. Axisymmetric shapes and stability of charged drops in an external electric field. Phys. Fluids A 1989, 1(5):799. 10.1063/1.857377, and
14. Basaran O.A. Patzek T.W. Benner R.E. Scriven L.E. Nonlinear oscillations and breakup of conducting, inviscid drops in an externally applied electric field. Ind. Eng. Chem. Res. 1995, 34(10):3454. 10.1021/ie00037a034, and
15. Scott T.C. Basaran O.A. Byers C.H. Characteristics of electric-field-induced Oscillation of translating liquid droplets. Ind. Eng. Chem. Res. 1990, 29(5):901. 10.1021/ie00101a028, and
16. Feng J.Q. Scott T.C. A computational analysis of electrohydrodynamics of a leaky dielectric drop in an electric field. J. Fluid Mech. 1996, 311:289. 10.1017/S0022112096002601, and
17. Fernández A. Tryggvason G. Che J. Ceccio S.L. The effects of electrostatic forces on the distribution of drops in a channel flow: Two-dimensional oblate drops. Phys. Fluids 2005, 17:093302. 10.1063/1.2043147, and
18. Welch S.W. J. Biswas G. Direct simulation of film boiling including electrohydrodynamic forces. Phys. Fluids 2007, 19:012106. 10.1063/1.2433995, and
19. Tomar G. Biswas G. Sharma A. Welch S.W. J. Influence of electric field on saturated film boiling. Phys. Fluids. 2009, 21:032107. 10.1063/1.3095917, and
20. Lac E. Homsy G.M. Axisymmetric deformation and stability of a viscous drop in a steady electric field. J. Fluid Mech. 2007, 590:239. 10.1017/S0022112007007999, and
21. Dubash N. Mestel A.J. Breakup behavior of a conducting drop suspended in a viscous fluid subject to an electric field. Phys. Fluids 2007, 19:072101. 10.1063/1.2742702, and
22. Hua J. Lim L.K. Wang W.C. H. Numerical simulation of deformation/motion of a drop suspended in viscous liquids under influence of steady electric fields. Phys. Fluids 2008, 20:113302. 10.1063/1.3021065, and
23. Fedkiw R. Aslam T. Merriman B. Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 1999, 152:457492. 10.1006/jcph.1999.6236, and
24. Bjorklund E. The level-set method applied to droplet dynamics in the presence of an electric field. Comput. Fluids. 2009, 38:358. 10.1016/j.compfluid.2008.04.008
25. Poppel B.P. V. Desjardins O. Daily J.W. A ghost fluid, level set methodology for simulating multiphase electrohydrodynamic flows with application to liquid fuel injection. J. Comput. Phys. 2010, 229:7977. 10.1016/j.jcp.2010.07.003, and
26. Teigen K.E. Munkejord S.T. Influence of surfactant on drop deformation in an electric field. Phys. Fluids 2010, 22:112104. 10.1063/1.3504271, and
27. Osher S.J. Sethian J.A. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 1988, 79:12. 10.1016/0021-9991(88)90002-2, and
28. Liu X.D. Fedkiw R.P. Kang M. A boundary condition capturing method for Poisson equation on irregular domains. J. Comput. Phys. 2000, 160(1):151. 10.1006/jcph.2000.6444, and
29. Brackbill J.U. Kothe D.B. Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 1992, 100:335. 10.1016/0021-9991(92)90240-Y, and
30. Kang M. Fedkiw R.P. Liu X.D. A boundary condition capturing method for multiphase incompressible flow. SIAM J. Sci. Comput. (USA) 2000, 15:323. 10.1023/A:1011178417620, and
31. Harlow F.H. Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface. Phys. Fluids 1995, 8:2182. 10.1063/1.1761178, and
32. Tomar G. Gerlach D. Biswas G. Sharma N. Durst F. Welch S.W. Delgado A. Two-phase electrohydrodynamic simulations using a volume-of-fluid approach. J. Comput. Phys. 2007, 227:1267. 10.1016/j.jcp.2007.09.003, and
33. Whitaker D.L. Kim C. Vicente C.L. Weilert M.A. Maris H.J. Seidel G.M. Shape oscillations in levitated He II drops. J. Low Temp. Phys. 1998, 113:491. 10.1023/A:1022512530878, and
34. Ha J.W. Yang S.M. Deformation and breakup of Newtonian and non-Newtonian conducting drops in an electric field. J. Fluid Mech. 2000, 405:131. 10.1017/S0022112099007223, and
35. Griffiths D.J. College R. Introduction to Electrodynamics 2006, and 3rd ed. (Pearson Education, Delhi).
36. Gambhire P. Thaokar R.M. Electrohydrodynamic instabilities at interfaces subjected to alternating electric field. Phys. Fluids 2010, 22:064103. 10.1063/1.3431043, and
37. Rayleigh L. On the equilibrium of liquid conducting masses charged with electricity. Philos. Mag. 1882, 14:184. 10.1080/14786448208628425
38. Saville D.A. Electrohydrodynamic stability: Fluid cylinders in longitudinal electric fields. Phys. Fluids 1970, 13:2987. 10.1063/1.1692890