Effect of axial magnetic field on three-dimensional instability of natural convection in a vertical Bridgman growth configuration

A. Yu Gelfgat*, P. Z. Bar-Yoseph, A. Solan

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

A study of the effect of an externally imposed magnetic field on the axisymmetry-breaking instability of an axisymmetric convective flow, associated with crystal growth from bulk of melt, is presented. Convection in a vertical cylinder with a parabolic temperature profile on the sidewall is considered as a representative model. A parametric study of the dependence of the critical Grashof number Grcr on the Hartmann number Ha for fixed values of the Prandtl number (Pr = 0.015) and the aspect ratio of the cylinder (A = height/radius = 1,2 and 3) is carried out. The stability diagram Grcr(Ha) corresponding to the axisymmetric - three-dimensional transition for increasing values of the axial magnetic field is obtained. The calculations are done using the spectral Galerkin method allowing an effective and accurate three-dimensional stability analysis. It is shown that at relatively small values of Ha the axisymmetric flow tends to be oscillatory unstable. After the magnitude of the magnetic field (Ha) exceeds a certain value the instability switches to a steady bifurcation caused by the Rayleigh-Bénard mechanism.

Original languageEnglish
Pages (from-to)63-72
Number of pages10
JournalJournal of Crystal Growth
Volume230
Issue number1-2
DOIs
StatePublished - Aug 2001
Externally publishedYes

Funding

FundersFunder number
Israel High Performance Computer Unit
Israel Ministry of Science8575-1-98
Y. Winograd Chair of Fluid Dynamics
Ministry of Aliyah and Immigrant Absorption
Technion-Israel Institute of Technology

    Keywords

    • A1. Computer simulation
    • A1. Convection
    • A1. Heat transfer
    • A1. Magnetic fields
    • A2. Bridgman technique

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