The Mathematical Institute, University of Oxford, Eprints Archive

Particle trapping and banding in rapid solidification

Elliott, J. A. W. and Peppin, S. S. L. (2011) Particle trapping and banding in rapid solidification. Physical Review Letters . (Submitted)

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Abstract

Solidification of suspensions of small particles, from nanometer to colloidal (sub-micrometer) sizes, produces biomimetic materials with novel microstructure and expanding applications in microfluidics, nanotechnology and tissue engineering. To facilitate understanding and control of the solidification process, a thermodynamically consistent theory is here developed. We use the Boltzmann particle velocity distribution to determine the probability a particle is engulfed by an advancing solid-liquid interface and obtain the resulting kinetic phase diagram. We demonstrate use of the theory by predicting the formation of bands in rapidly solidified alumina suspensions, in quantitative agreement with experiment.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1415
Deposited By:Peter Hudston
Deposited On:10 Nov 2011 08:25
Last Modified:09 Feb 2012 13:59

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