期刊
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 466, 期 2113, 页码 177-194出版社
ROYAL SOC
DOI: 10.1098/rspa.2009.0390
关键词
solidification; colloidal suspensions; linear stability
资金
- King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04]
- US National Science Foundation [0PP0440841]
- Department of Energy [DE-FG02-05ER15741]
- Wenner-Gren Foundation
- Royal Institute of Technology
- NORDITA
We assess the morphological stability of a non-equilibrium ice-colloidal suspension interface, and apply the theory to bentonite clay. An experimentally convenient scaling is employed that 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 travelling-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.
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