Premelting dynamics in a continuum model of frost heave

Journal of Fluid Mechanics

Volumn 498, Issue , 2004, Pages 227-244

  Rempel, Alan W ^a   Wettlaufer, J S ^a,b   Worster, M Grae ^c  

^a YALE UNIVERSITY   (United States)

^b Yale University   (United States)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FLOW OF FLUIDS; FREEZING; ICE; INTERFACES (MATERIALS); POROSITY; SATURATION (MATERIALS COMPOSITION); SOILS;

INTERFACIAL PREMELTING; PHASE BOUNDARIES;

FROST EFFECTS;

FLUID FLOW; FREEZING; GROUND MOVEMENT; MELTING; PHASE CHANGE; POROUS MEDIUM;

EID: 1242322179     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003006761     Document Type: Article

References (36)

1. BAKER, M. B. & DASH, J. G. 1989 Charge transfer in thunderstorms and the surface melting of ice. J. Cryst. Growth 97, 770-776.
2. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
3. BESKOW, G. 1935 Soil Freezing and Frost Heaving with Special Application to Roads and Railroads. The Swedish Geological Society, C, no. 375, Year Book no. 3 (translated by J. O. Osterberg). Technological Institute, Northwestern University. Reprinted in: Historical Perspectives in Frost Heave Research (ed. P. B. Black & M. J. Hardenberg). CRREL Special Report 91-23, pp. 37-157.
4. CAHN, J. W., DASH, J. G. & FU, H. 1992 Theory of ice premelting in monosized powders. J. Cryst. Growth 123, 101-108.
5. CHERNOV, A. A., TEMKIN, D. E. & MEL'NIKOVA, A. M. 1976 Theory of the capture of solid inclusions during the growth of crystals from the melt. Sov. Phys. Crystallogr. 21, 369-373.
6. DASH, J. G. 1989 Thermomolecular pressure in surface melting: motivation for frost heave. Science 246, 1591-1593.
7. DASH, J. G., FU, H. Y. & WETTLAUFER, J. S. 1995 The premelting of ice and its environmental consequences. Rep. Prog. Phys. 58, 115-167.
8. DERJAGUIN, B. V. & CHURAEV, N. V. 1978 The theory of frost heaving. J. Colloid Interface Sci. 67, 391-396.
9. EVERETT, D. H. 1961 The thermodynamics of frost damage to porous solids. Trans. Faraday Soc. 57, 1541-1551.
10. FOWLER, A. C. 1989 Secondary frost heave in freezing soils. SIAM J. Appl. Maths 49, 991-1008.
11. FOWLER, A. C. 1997 Mathematical Models in the Applied Sciences. Cambridge University Press.
12. DE GENNES, P. G. 1985 Wetting: statics and dynamics. Rev. Mod. Phys. 57, 827-63.
13. GILPIN, R. R. 1979 A model of the "liquid-like" layer between ice and a substrate with applications to wire regelation and particle migration. J. Colloid Interface Sci. 68, 235-251.
14. GILPIN, R. R. 1980 A model for the prediction of ice lensing and frost heave in soils. Water Resour. Res. 16, 918-930.
15. MIZUSAKI, T. & HIROI, M. 1995 Frost heave in He. Physica B 210, 403-410.
16. MUTOU Y., WATANABE, K., ISHIZAKI, T. & MIZOQUCHI, M. 1998 Microscopic observation of ice lensing and frost heave in glass beads. In Proc. Seventh Intl. Conf. on Permafrost, June 23-27, 1998, Yellowknife, Canada (ed. A. G. Lewkowicz & M. Allard), pp. 283-287. Universite Laval, Montreal, Canada.
17. O'NEILL, K. & MILLER, R. D. 1985 Exploration of a rigid ice model of frost heave. Water Resour. Res. 21, 281-296.
18. PHILLIPS, O. M. 1991 Flow and Reactions in Permeable Rocks. Cambridge University Press.
19. RAVIV, U. & KLEIN, J. 2002 Fluidity of bound hydrate layers. Science 297, 1540-1543.
20. REMPEL, A. W., WETTLAUFER, J. S. & WORSTER, M. G. 2001 Interfacial premelting and the thermomolecular force: thermodynamic buoyancy. Phys. Rev. Lett. 87, 088501.
21. REMPEL, A. W. & WORSTER, M. G. 1999 The interaction between a particle and an advancing solidification front. J. Cryst. Growth 205, 427-440.
22. REMPEL, A. W. & WORSTER, M. G. 2001 Particle trapping at an advancing solidification front with interfacial-curvature effects. J. Cryst. Growth 223, 420-432.
23. SADTCHENKO, V. & EWING, G. E. 2002 Interfacial melting of thin ice films: An infrared study. J. Chem. Phys. 116, 4686-4697.
24. SCHICK, M. 1990 Introduction to wetting phenomena. In Les Houches, Session XLVIII, 1988 - Liquids at Interfaces (ed. J. Charvolin, J. F. Joanny, & J. Zinn-Justin), pp. 415-497. Elsevier.
25. TABER, S. 1929 Frost heaving. J. Geol. 37, 428-461.
26. TABER, S. 1930 The mechanics of frost heaving. J. Geol. 38, 303-317.
27. VIGNES-ADLER, M. 1977 On the origin of the water aspiration in a freezing dispersed medium. J. Colloid Interface Sci. 60, 162-171.
28. WATANABE, K. & MIZOGUCHI, M. 2000 Ice configuration near a growing ice lens in a freezing porous medium consisting of micro glass particles. J. Cryst. Growth 213, 135-140.
29. WATANABE, K. & MIZOGUCHI, M. 2002 Amount of unfrozen water in frozen porous media saturated with solution. Cold Reg. Sci. Tech. 34, 103-110.
30. WETTLAUFER, J. S. 1999a Ice surfaces: Macroscopic effects of microscopic structure Phil. Trans. R. Soc. Lond. A 357, 3403-3425.
31. WETTLAUFER, J. S. 1999b Impurity effects in the premelting of ice. Phys. Rev. Lett. 82, 2516-1519.
32. WETTLAUFER, J. S. & WORSTER, M. G. 1995 Dynamics of premelted films: Frost heave in a capillary. Phys. Rev. E 51, 4679-4689.
33. WETTLAUFER, J. S., WORSTER, M. G., WILEN, L. A. & DASH, J. G. 1996 A theory of premelting dynamics for all power law forces. Phys. Rev. Lett. 76, 3602-3605.
34. WILEN, L. A. & DASH, J. G. 1995 Frost heave dynamics at a single-crystal interface. Phys. Rev. Lett. 74, 5076-5079.
35. WORSTER, M. G. & WETTLAUFER, J. S. 1999 The fluid mechanics of premelted liquid films. In Fluid Dynamics at Interfaces (ed. W. Shyy & R. Narayanan), pp. 339-351. Cambridge University Press.
36. ZHU, D.-M., VILCHES, O. E., DASH, J. G., SING, B. & WETTLAUFER, J. S. 2000 Frost heave in argon. Phys. Rev. Lett. 85, 4908-4911.