Open Access

ARTICLE

Marangoni-Natural Convection in Liquid Metals in the Presence of a Tilted Magnetic Field

by

1 UMBB, Boumerdes, ALGERIA.

Fluid Dynamics & Materials Processing 2010, 6(4), 369-384. https://doi.org/10.3970/fdmp.2010.006.369

Abstract

The Navier-Stokes and energy equations are numerically solved to investigate two-dimensional convection (originating from the combined effect of buoyancy and surface tension forces) in a liquid metal subjected to transverse magnetic fields. In particular, a laterally heated horizontal cavity with aspect ratio (height/width) =1 and Pr=0.015 is considered (typically associated with the horizontal Bridgman crystal growth process and commonly used for benchmarking purposes). The effect of a uniform magnetic field with different magnitudes and orientations on the stability of the two distinct convective solution branches (with a single-cell or two-cell pattern) of the steady-state flows is investigated. The effects induced by increasing values of the Rayleigh and Hartmann numbers on the heat transfer rate are also discussed.

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