Morphological instability of a non-equilibrium ice-colloid interface

Handle URI:
http://hdl.handle.net/10754/598889
Title:
Morphological instability of a non-equilibrium ice-colloid interface
Authors:
Peppin, S. S. L.; Majumdar, A.; Wettlaufer, J. S.
Abstract:
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. © 2009 The Royal Society.
Citation:
Peppin SSL, Majumdar A, Wettlaufer JS (2009) Morphological instability of a non-equilibrium ice-colloid interface. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466: 177–194. Available: http://dx.doi.org/10.1098/rspa.2009.0390.
Publisher:
The Royal Society
Journal:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
2-Oct-2009
DOI:
10.1098/rspa.2009.0390
Type:
Article
ISSN:
1364-5021; 1471-2946
Sponsors:
This research was supported by the King Abdullah University of Science and Technology (KAUST), Award no. KUK-C1-013-04, by the US National Science Foundation (0PP0440841) and by the Department of Energy (DE-FG02-05ER15741). J. S. W. is grateful for support from the Wenner-Gren Foundation, the Royal Institute of Technology and NORDITA, all in Stockholm.
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Full metadata record

DC FieldValue Language
dc.contributor.authorPeppin, S. S. L.en
dc.contributor.authorMajumdar, A.en
dc.contributor.authorWettlaufer, J. S.en
dc.date.accessioned2016-02-25T13:43:08Zen
dc.date.available2016-02-25T13:43:08Zen
dc.date.issued2009-10-02en
dc.identifier.citationPeppin SSL, Majumdar A, Wettlaufer JS (2009) Morphological instability of a non-equilibrium ice-colloid interface. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466: 177–194. Available: http://dx.doi.org/10.1098/rspa.2009.0390.en
dc.identifier.issn1364-5021en
dc.identifier.issn1471-2946en
dc.identifier.doi10.1098/rspa.2009.0390en
dc.identifier.urihttp://hdl.handle.net/10754/598889en
dc.description.abstractWe 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. © 2009 The Royal Society.en
dc.description.sponsorshipThis research was supported by the King Abdullah University of Science and Technology (KAUST), Award no. KUK-C1-013-04, by the US National Science Foundation (0PP0440841) and by the Department of Energy (DE-FG02-05ER15741). J. S. W. is grateful for support from the Wenner-Gren Foundation, the Royal Institute of Technology and NORDITA, all in Stockholm.en
dc.publisherThe Royal Societyen
dc.subjectColloidal suspensionsen
dc.subjectLinear stabilityen
dc.subjectSolidificationen
dc.titleMorphological instability of a non-equilibrium ice-colloid interfaceen
dc.typeArticleen
dc.identifier.journalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciencesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionYale University, New Haven, United Statesen
kaust.grant.numberKUK-C1-013-04en
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