Patterned ground formation and convection in porous media with a phase change

Continuum Mechanics and Thermodynamics

Volumn 8, Issue 3, 1996, Pages 189-199

  McKay, G ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

NATURAL CONVECTION; POROUS MEDIA;

CONVECTION; FROZEN SOIL; PATTERNED GROUND; PHASE CHANGE; POROUS MEDIUM; THERMAL CONDUCTIVITY;

EID: 0030461153     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01181855     Document Type: Article

References (28)

1. Hurle DTJ, Jakeman E, Wheeler AA (1983) Hydrodynamic stability of the melt during solidification of a binary alloy. Phys. Fluids 26: 624-626
2. Mullins WW, Sekerka RF (1964) Stability of a planar interface during solidification of a dilute binary alloy. J. Appl. Phys. 35: 444-451
3. Riley DS, Davis SH (1990) Long-wave interactions in morphological and convective instabilities. IMA J. Appl. Math. 45: 267-285
4. Davis SH, Müller U, Dietsche C (1984) Pattern selection in single-component systems coupling Bénard convection and solidification. J. Fluid Mech. 144 (1984) 133-151
5. Zimmermann G, Müller U, Davis SH (1992) Bénard convection in binary mixtures with Soret effects and solidification. J. Fluid Mech. 238: 657-682
6. Hadji L (1972) Cellular interfacial patterns in the Rayleigh-Bénard problem with phase change. Int. J. Engng Sci. 30: 717-728
7. Bejan A (1995) Convection Heat Transfer, 2nd edn. Wiley, New York
8. Benard C, Gobin D, Zanoli A (1986) Moving boundary problem: heat conduction in the solid phase of a phase-change material during melting driven by natural convection in the liquid. Int. J. Heat Mass Transfer 29: 1669-1681
9. Hutter K (1982) A mathematical model of polythermal glaciers and ice sheets. Geophys. Astrophys. Fluid Dyn. 21: 201-224
10. Hutter K (1983) Theoretical Glaciology. D. Reidel, Dordrecht-Boston-Lancaster
11. Goldstein ME, Reid RL (1978) Effect of fluid flow on freezing and thawing of saturated porous media. Proc. Roy. Soc. London A 364: 45-73
12. Zhang X, Nguyen TH, Kahawita R (1991) Melting of ice in a porous medium heated from below. Int. J. Heat Mass Transfer 34: 389-405
13. Kazmierczak M, Poulikakos D (1988) Melting of an ice surface in a porous medium. AIAA J. Thermophys. Heat Transfer 2: 352-358
14. Jany P, Bejan A (1988) Scales of melting in the presence of natural convection in a rectangular cavity filled with porous medium. ASME J. Heat Transfer 110: 526-529
15. Weaver JA, Viskanta R (1986) Melting of frozen, porous media contained in a horizontal or a vertical, cylindrical capsule. Int. J. Heat Mass Transfer 29: 1943-1951
16. Beckermann C, Viskanta R (1988) Natural convection solid/liquid phase change in porous media. Int. J. Heat Mass Transfer 31: 35-46
17. Ray RJ, Krantz WB, Caine TN, Gunn RD (1983) A model for sorted patterned-ground regularity. J. Glaciology 29: 317-337
18. George JH, Gunn RD, Straughan B (1989) Patterned ground formation and penetrative convection in porous media. Geophys. Astrophys. Fluid Dyn. 46: 135-158
19. Gleason KJ, Krantz WB, Caine TN (1988) Parametric effects in the filtration free convection model for patterned ground. Proc. Vth International Conf. Permafrost, Trondheim, Norway, pp 349-354
20. McKay G (1992) Patterned ground formation and solar radiation ground heating. Proc. Roy. Soc. London A 438: 249-263
21. McKay G, Straughan B (1993) Patterned ground formation under water. Continuum Mech. Thermodyn. 5: 145-162
22. Joseph DD (1976) Stability of fluid motions II. Springer-Verlag, Berlin-Heidelberg-New York
23. Veronis G (1963) Penetrative convection. Astrophys. J. 137: 641-663
24. Andersland OB, Anderson DM (1978) Geotechnical Engineering for Cold Regions. McGraw Hill, New York
25. Drazin PG, Reid WH (1981) Hydrodynamic Stability. Cambridge University Press
26. Chandrasekhar S (1981) Hydrodynamic and Hydromagnetic Stability. Dover, New York
27. Nield DA (1968) The Rayleigh-Jeffreys problem with boundary slab of finite conductivity. J. Fluid Mech. 32: 393-398
28. Goldthwaite RP (1976) Frost sorted patterned ground: A review. Quarternary Research 6: 27-35