Numerical simulation of the electro-convective onset and complex flows of dielectric liquid in an annulus

Dolfred Vijay Fernandes, Heon Deok Lee, Suresh Alapati, Yong Kweon Suh

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

We conducted a numerical study on the onset of electro-convection as well as the complex flow phenomena of dielectric liquid subjected to unipolar autonomous charge injection in the annular gap between two concentric circular cylindrical electrodes. The Nernst-Planck equations governing the charge density transport, the Poisson equation for the electric potential and the Navier-Stokes equations for the fluid flow are solved numerically using the finite volume method. The developed code is validated by comparing the critical sta-bility parameter values for the onset of electro-convection with those obtained from the linear stability analysis. We identify in a parame-ter space the stable hydrostatic state and the electro-convection state. The electro-convection is again divided into three regimes: station-ary, oscillatory and chaotic. For inner cylinder radius ri ≥ 1. 0, we observed an increase in the number of charged plumes and vortex pairs with stability parameter T before the electro-convection becomes chaotic. For outer injection, although the onset of electro-convection starts at T higher than the inner injection, the onset of chaotic motion occurs at lower T.

Original languageEnglish
Pages (from-to)3785-3793
Number of pages9
JournalJournal of Mechanical Science and Technology
Volume26
Issue number12
DOIs
Publication statusPublished - 12-2012

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering

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