The changing shape of a liquid drop in an electric field

• Autorzy: Jayalal A. A. S. N. , Wijewardena Gamalath K. A. I. L.
• Języki publikacji: EN

Abstrakty

EN

An approximate extension of the slender body theory was used to determine the static shape of a conically ended dielectric fluid drop in an electric field. Using induced surface charge density, hydrostatic pressure and the surface tension of the liquid with interfacial tension stresses and Maxwell electric stresses, a governing equation was obtained for Spender geometries for the equilibrium configuration and numerically solved for 3D. For an applied electric field, the electric energy on a spherical drop can be maximized in a weak dielectric by increasing the applied electric field. The minimum dielectric constant ratio needed to produce a conical end is 14.5 corresponding to a cone angle 31.25° .There is a sharp increment of the aspect ratio after reaching the threshold value of the applied field strength and the deformation of the fluid drop increases with the increase in dielectric constant of the fluid drop. For a particular dielectric constant ratio, the threshold electric field producing conical interface increases with the increased surface tension of the liquid. The threshold electric field for a water drop is 1.0854×104 units and the corresponding aspect ratio is 15. For the minimum dielectric ratio the cone angle of the drop decreases with applied field making the drop more stable at higher fields.

Słowa kluczowe

EN

surface charge density; dielectric constant; cone angle; surface tension; minimum electric field

PL

gęstość ładunku powierzchniowego; stała dielektryczna; kąt stożka; napięcie powierzchniowe; minimalne pole elektryczne

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2012
• Tom: Vol. 3
• Strony: 24--40
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Jayalal A. A. S. N.

autor

Wijewardena Gamalath K. A. I. L.

• Department of Physics, University of Colombo, Colombo 03, Sri Lanka,

Bibliografia

• [1] J. Zeleny, Phys. Rev. 10 (1917) 1-6
• [2] C. T. R. Wilson and G. I. Taylor, Mathematical Proccedings of the Cambridge Philosophical Society 22 (1925) 728-730
• [3] G.I.Taylor, Circulation Produceed in a Drop by an Electric Field, Proc. R. Soc. Lon. A, CCLXXX, 383(1964). 159 (1966)
• [4] S. Chandrasekhar, Hydrodynamic and Hydro magnetic Stability, and Applications of the Tensor-Viral Theorem, (Selected Papers: Plasma Physics, Vol. 4 , University of Chicago 1989).
• [5] C.E. Rosenkilde, Proc. Mathematical, Physical and Engineering Sciences, Vol. 455 (1981) pp. 329-347 (1999).
• [6] J.D.Sherwood, Journal of Fluid Mechanics Digital Archive 188 pp 133-146 (1988). J.D.Sherwood, J. Phys. A: Math. Gen. 24 (1991) 4047-4053.
• [7] H. Li, T.C. Halsey, L. Alexander, Europhys. Lett. 27 (8) (1994) 575-580.
• [8] J. D. Jackson,. Behavior of fields in a conical hole or near a shap point. (In classical electrodynamics, Ch.3 Wiley, (1998) 95
• [9] H.A. Stone, J. R. Lister and M. P. Brenner, Proc. R. Soc. Lon A 455 (1999) 329-347.
• [10] A. Ramos, A. Castellanos, Phys. Lett A 268 (1994) 268-272.