The Mathematical Institute, University of Oxford, Eprints Archive

Morphological instability of a nonequilibrium icecolloid interface

Peppin, S. S. L. and Majumdar, A. and Wettlaufer, J. S. (2009) Morphological instability of a nonequilibrium icecolloid interface. Not specified . (Submitted)



We assess the morphological stability of a nonequilibrium ice–colloidal suspension interface, and apply the theory to bentonite clay. An experimentally convenient scaling is employed which takes advantage of the vanishing segregation coefficient at low freezing velocities, and when anisotropic kinetic effects are included the interface is shown to be unstable to travelling waves. The potential for traveling wave modes reveals a possible mechanism for the polygonal and spiral ice lenses observed in frozen clays. A weakly nonlinear analysis yields a long-wave evolution equation for the interface shape containing a new parameter related to the highly nonlinear liquidus curve in colloidal systems. We discuss the implications of these results for the frost susceptibility of soils and the fabrication of microtailored porous materials.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:820
Deposited By: Dr M. Stoll
Deposited On:24 Sep 2009 12:35
Last Modified:29 May 2015 18:30

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