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Numerical simulations of periodic flow oscillations in low Prandtl number fluids

Summary: Numerical simulations of periodic flow oscillations
in low Prandtl number fluids
Daniel W. Crunkleton 1
, Ranga Narayanan, Timothy J. Anderson *
Department of Chemical Engineering, University of Florida, 227 CHE, P.O. Box 11605, Gainesville, FL 32611, USA
Received 19 September 2003; received in revised form 10 September 2004
Available online 4 October 2005
The transition from steady to oscillatory flow for a very low Prandtl number fluid (Pr = 0.008) is computed for rect-
angular enclosures with aspect ratios (length/height) of 0.25, 0.4, 1.0, and 2.0 and are found to occur at Rayleigh num-
bers of 250,000, 130,000, 83,500, and 30,000 respectively. The structures of the oscillations are graphically depicted and
are manifested in corner cells which dissipate into centered cells and then into opposite corner cells. A secondary flow
transition is detected for a geometry with an aspect ratio of 1.0 at Ra = 1.2Rac2.
2004 Published by Elsevier Ltd.
1. Introduction
Natural convection in low Prandtl number fluids is
an extremely important phenomenon in several crystal
growth methods, such as the Bridgman [13] and Czo-
chralski [4,5] techniques, in which a melt is condensed
and solidifies into a single crystal. These techniques,


Source: Anderson, Timothy J. - Chemical Engineering Department, University of Florida


Collections: Materials Science