Abstract:
Waves on the surface of a thin film of a viscous dielectric fluid flowing down the inner surface of one plate of a plane capacitor with alternating voltage applied is considered. It is shown that the volume forces acting from the inhomogeneous electric field are negligibly small in the case of long waves, and the influence of the electric field reduces to the influence of additional pressure onto the film surface. A model equation for determining the deviation of the film thickness from the undisturbed value is derived in the long-wave approximation. Some numerical solutions of this equation are given.
Keywords:
down-flowing film, alternating electric field, dielectric, model equation, wave regimes.
Citation:
O. Yu. Tsvelodub, S. N. Samatov, “Effect of the electric field on the wave flow regimes of a thin film of a viscous dielectric fluid”, Prikl. Mekh. Tekh. Fiz., 51:3 (2010), 73–83; J. Appl. Mech. Tech. Phys., 51:3 (2010), 359–368
\Bibitem{TsvSam10}
\by O.~Yu.~Tsvelodub, S.~N.~Samatov
\paper Effect of the electric field on the wave flow regimes of a thin film of a viscous dielectric fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 3
\pages 73--83
\mathnet{http://mi.mathnet.ru/pmtf1604}
\elib{https://elibrary.ru/item.asp?id=15285704}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 3
\pages 359--368
\crossref{https://doi.org/10.1007/s10808-010-0049-3}
Linking options:
https://www.mathnet.ru/eng/pmtf1604
https://www.mathnet.ru/eng/pmtf/v51/i3/p73
This publication is cited in the following 2 articles:
Citation in format AMSBIB
Contact us: