Stability of cylindrical Couette flow of a radially polarised dielectric liquid in a radial temperature gradient

P. J. Stiles*, M. Kagan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A linear stability analysis is used to predict the onset of convective instability in an annulus of a pure dielectric liquid between two long coaxial cylinders. The liquid experiences a radial temperature gradient and a strong radial ac electric field. When the two cylinders are stationary our analysis gives reasonable agreement with experiment data on silicone oils. If the central cylinder is warmer and is allowed to rotate, the stability of the Couette flow is predicted to vary with the temperature difference ΔT between the cylinders in a manner that depends markedly on the gap to radius ratio δ = (r2 - r1)/r1 where r1 and r2 are the radii of the inner and outer cylinders. When δ < 10-4 the critical Taylor number is relatively insensitive to ΔT but when δ ≥ 10-1 a very small temperature difference can completely destabilize the Couette flow.

Original languageEnglish
Pages (from-to)583-592
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume197
Issue number4
DOIs
Publication statusPublished - 15 Aug 1993

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