A. V. Subbotin, A. N. Semenov, “Electrohydrodynamics of cone-jet flow at high relative dielectric permittivity”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 102, Issue 12,Pages <nobr>932

This article is cited in 10 papers

CONDENSED MATTER

Electrohydrodynamics of cone-jet flow at high relative dielectric permittivity

A. V. Subbotin^a, A. N. Semenov^b

^a Topchiev Institute of Petrochemical Synthesis of the RAS, 119991 Moscow, Russia
^b Institut Charles Sadron, CNRS-UPR 22, Universite de Strasbourg, BP 84047, 67034 Strasbourg Cedex 2, France

Abstract: In this paper we propose a new solution of the electrohydrodynamic equations describing a novel cone-jet flow structure formed at a conductive liquid meniscus in an electric field. Focusing on the liquids characterized by a high relative dielectric permittivity and using the slender body approximation, the cone-jet transition profiles and their characteristic radii are predicted in relation to the material parameters. The stable value of the cone angle is obtained using the Onsager's principle of maximum entropy production. Three different regimes of the cone-jet flow behavior are identified depending on the relative importance of capillary, viscous and inertial stress contributions. The presented complete analytical solutions for the cone-jet transition zone and the far jet region yield several different laws of algebraic decrease for the radius, surface charge and electric field of the jet.

Received: 29.09.2015
Revised: 03.11.2015

Language: English

DOI: 10.7868/S0370274X15240078