Abstract
Analytically, in a linear approach on the dimensionless amplitude of oscillation, the dispersion equation for capillary waves is obtained on the charged liquid layer surfaces on a conductive cylindrical firm bar of the final thickness. It is shown that the firm core has a stabilization effect on capillary waves and reduces the destabilizing influence of a radial electric field. The influence of the core becomes substantial only at values of the radius comparable with the outer radius of the cover. The higher the density of the superficial charge, the wider the range of unstable wave numbers and the higher the values of the instability increase increments.
Similar content being viewed by others
References
Klimov, A.V. and Grigor’ev, A.I., Tech. Phys., 2010, vol. 55, no. 5, pp. 672–678.
Grigor’ev, A.I., Koromyslov, V.A., and Shiryaeva, S.O., Surf. Eng. Appl. Electrochem., 2010, vol. 46, no. 2, pp. 120–126.
Shiryaeva, S.O. and Grigor’ev, A.I., Spontannyi raspad strui (The Spontaneous Decay of the Jets), Yaroslavl Yarosl. Gos. Univ., 2012.
Jaworek, A. and Krupa, A., J. Aerosol Sci., 1999, vol. 30, no. 7, pp. 873–893.
Cloupeau, M. and Prunet Foch, B., J. Electrostat., 1990, vol. 25, pp. 165–184.
Jaworek, A. and Krupa, A., J. Aerosol Sci., 1999, vol. 30, no. 7, pp. 873–893.
Kim, O.V. and Dunn, P.F., Langmuir, 2010, vol. 26, pp. 15807–15813.
Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physical-Chemical Hydrodynamics), Moscow Fizmatgiz, 1959.
Frenkel’, Ya.I., Zh. Eksp. Teor. Fiz., 1936, vol. 6, no. 4, pp. 348–350.
Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Washington, DC U.S. Gov. Print. Off., 1972.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.O. Shiryaeva, D.E. Lesnugina, A.I. Grigor’ev, N.A. Petrushov, 2016, published in Elektronnaya Obrabotka Materialov, 2016, No. 5, pp. 33–37.
About this article
Cite this article
Shiryaeva, S.O., Lesnugina, D.E., Grigor’ev, A.I. et al. Stability of capillary waves on charged surface of water layer on electrically driven solid cylindrical rod. Surf. Engin. Appl.Electrochem. 52, 443–448 (2016). https://doi.org/10.3103/S1068375516050124
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068375516050124