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Title: Equilibrium shapes and stability of nonconducting pendant drops surrounded by a conducting fluid in an electric field

Abstract

The shapes and stability of pendant drops in the presence of an electric field is a classical problem in capillarity. This problem has been studied in great detail by numerous investigators when the drops are either perfect conductors or nonconductors and the surrounding fluid is a nonconductor. In this paper, the axisymmetric equilibrium shapes and stability of a nonconducting drop hanging from a nonconducting nozzle that is immersed in a perfectly conducting ambient fluid, a problem that has heretofore not been considered in the literature, are determined by solving the free boundary problem comprised of the Young-Laplace equation for drop shape and an integral equation for the electric field distribution. Here the free boundary problem is discretized by a hybrid technique in which the Young-Laplace equation is solved by the finite element method and the electrostatic problem solved by the boundary element method.

Authors:
;  [1]
  1. Oak Ridge National Lab., TN (United States). Chemical Technology Division
Publication Date:
OSTI Identifier:
43127
DOE Contract Number:  
AC05-84OR21400
Resource Type:
Journal Article
Journal Name:
Journal of Colloid and Interface Science
Additional Journal Information:
Journal Volume: 170; Journal Issue: 2; Other Information: PBD: 15 Mar 1995
Country of Publication:
United States
Language:
English
Subject:
40 CHEMISTRY; DROPLETS; SHAPE; STABILITY; ELECTROHYDRODYNAMICS; MATHEMATICAL MODELS; ATOMIZATION; ELECTRIC FIELDS

Citation Formats

Harris, M T, and Basaran, O A. Equilibrium shapes and stability of nonconducting pendant drops surrounded by a conducting fluid in an electric field. United States: N. p., 1995. Web. doi:10.1006/jcis.1995.1107.
Harris, M T, & Basaran, O A. Equilibrium shapes and stability of nonconducting pendant drops surrounded by a conducting fluid in an electric field. United States. https://doi.org/10.1006/jcis.1995.1107
Harris, M T, and Basaran, O A. 1995. "Equilibrium shapes and stability of nonconducting pendant drops surrounded by a conducting fluid in an electric field". United States. https://doi.org/10.1006/jcis.1995.1107.
@article{osti_43127,
title = {Equilibrium shapes and stability of nonconducting pendant drops surrounded by a conducting fluid in an electric field},
author = {Harris, M T and Basaran, O A},
abstractNote = {The shapes and stability of pendant drops in the presence of an electric field is a classical problem in capillarity. This problem has been studied in great detail by numerous investigators when the drops are either perfect conductors or nonconductors and the surrounding fluid is a nonconductor. In this paper, the axisymmetric equilibrium shapes and stability of a nonconducting drop hanging from a nonconducting nozzle that is immersed in a perfectly conducting ambient fluid, a problem that has heretofore not been considered in the literature, are determined by solving the free boundary problem comprised of the Young-Laplace equation for drop shape and an integral equation for the electric field distribution. Here the free boundary problem is discretized by a hybrid technique in which the Young-Laplace equation is solved by the finite element method and the electrostatic problem solved by the boundary element method.},
doi = {10.1006/jcis.1995.1107},
url = {https://www.osti.gov/biblio/43127}, journal = {Journal of Colloid and Interface Science},
number = 2,
volume = 170,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 1995},
month = {Wed Mar 15 00:00:00 EST 1995}
}