Electrohydrodynamic instability in a thin fluid layer with an electrical conductivity gradient

Physics of Fluids

Volumn 10, Issue 1, 1998, Pages 301-311

  Baygents, J C ^a   Baldessari, F ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTRIC FIELDS; ELECTROHYDRODYNAMICS; PERMITTIVITY; VISCOSITY;

CONVECTIVE DIFFUSION EQUATION; ELECTRICAL CONDUCTIVITY GRADIENT; ELECTROHYDRODYNAMIC INSTABILITY; RAYLEIGH NUMBER; THIN FLUID LAYER;

ELECTRIC CONDUCTIVITY OF LIQUIDS;

CONDUCTION; ELECTRIC FIELD; ELECTROHYDRODYNAMICS;

EID: 0031808294     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869567     Document Type: Article

References (20)

1. G. I. Taylor and A. D. McEwan, "The stability of a horizontal fluid interface in a vertical electric field," J. Fluid Mech. 22, 1 (1965).
2. D. H. Michael and M. E. O'Neill, "Electrohydrodynamic instability in plane layers of fluid," J. Fluid Mech. 41, 571 (1969).
3. P. H. Rhodes, R. S. Snyder, and G. O. Roberts, "Electrohydrodynamic distortion of sample streams in continuous flow electrophoresis," J. Colloid Interface Sci. 129, 78 (1989).
4. J. R. Melcher and G. I. Taylor, "Electrohydrodynamics: a review of the role of interfacial shear stresses," Annu. Rev. Fluid Mech. 1, 111 (1969).
5. R. J. Turnbull and J. R. Melcher, "Electrohydrodynamic Rayleigh-Taylor instability," Phys. Fluids 12, 1160 (1969).
6. J. R. Melcher and M. S. Firebaugh, "Traveling-wave bulk electroconvection induced across a temperature gradient," Phys. Fluids 10, 1178 (1967).
7. J. F. Hoburg and J. R. Melcher, "Electrohydrodynamic mixing and instability induced by colinear fields and conductivity gradients," Phys. Fluids 20, 903 (1977).
8. J. F. Hoburg, "Internal electrohydrodynamic instability of liquids with colinear fields and conductivity gradients," J. Fluid Mech. 84, 291 (1978).
9. J. C. Baygents, "The electrohydrodynamics of drop dielectrophoresis," J. Fluid Mech. (submitted).
10. M. Bier, "Isoelectric focusing in space and spinoffs," in AIAA/IKI Microgravity Science Symposium, edited by F. J. Kohl (AIAA, Washington, D.C., 1990), pp. 221-227.
11. W. Thormann, R. A. Mosher, and M. Bier, "Experimental and theoretical dynamics of isoelectric focusing. Elucidation of a general separation mechanism," J. Chromatogr. 351, 17 (1986).
12. R. A. Mosher, D. A. Saville, and W. Thormann, The Dynamics of Electrophoresis (VCH, New York, 1992), pp. 163-230.
13. J. R. Melcher, "Electrohydrodynamics," in Proceedings of the IUTAM 13th International Congress of Theoretical and Applied Mechanics, Moscow University, 1972, edited by E. Becker and G. K. Mikhailov (Springer-Verlag, Berlin, 1973), pp. 240-263.
14. J. R. Melcher, Continuum Electromechanics (MIT, Cambridge, MA, 1981).
15. F. Baldessari, "The Onset of Electrohydrodynamic Instability in Isoelectric Focusing," M.S. thesis, Department of Chemical Engineering, The University of Arizona, 1993.
16. Nole that hereafter, an asterisk is used to denote variables in their dimensional form.
17. C. C. Lin, Theory of Hydrodynamic Stability (Cambridge University Press, Cambridge, England, 1955).
18. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, England, 1981).
19. L. G. Leal, Laminar Flow and Convective Transport Processes (Butterworth-Heinemann, Boston, MA, 1992), pp. 718-727.
20. J. R. A. Pearson, "On convection cells induced by surface tension," J. Fluid Mech. 4, 489 (1958).