This paper provides a numerical solution for simultaneous heat and moisture transfer within frozen soil beneath slab foundations of refrigerated warehouses. The developed solution is validated using data from experimental tests. A parametric analysis is then performed to determine the impact of slab insulation levels and to estimate the time required to reach steady-state ground-coupled heat transfer conditions. Finally, the solution is utilized to determine an effective soil thermal conductivity that could be used in a purely heat conduction model for ground-coupled heat transfer beneath freezers.
Issue Section:
Technical Papers
1.
ASHRAE, 1998, Handbook of Refrigeration, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta, GA.
2.
ASHRAE, 2001, Handbook of Fundamentals, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Atlanta, GA.
3.
Chuangchid
, P.
, and Krarti
, M.
, 2000
, “Parametric Analysis and Development of a Design Tool for Foundation Heat Gain for Refrigerated Warehouses
,” ASHRAE Trans.
, Krarti, 106
(2
), pp. 240
–250
.4.
Phillip
, J. R.
, and De Vries
, D. A.
, 1957
, “Moisture Movement in Porous Materials under A Temperature Gradient
,” EOS Trans. Am. Geophys. Union
, 38
, pp. 222
–232
.5.
Freitas
, D. S.
, Prata
, A. T.
, and de Lima
, A. J.
, 1996
, “Thermal Performance of Underground Power Cables with Constant and Cyclic Currents in Presence of Moisture Migration in the Surrounding Soil
,” IEEE Trans. Power Deliv.
, 11
(3
), pp. 1159
–1170
.6.
Fuchs
, M.
, Campbell
, G. S.
, and Papendick
, R. I.
, 1978
, “An Analysis of Sensible and Latent Heat Flow in a Partially Frozen Unsaturated Soil
,” Soil Sci. Soc. Am. J.
, 42
, pp. 379
–385
.7.
Bouyoucos, C., 1916, “The Freezing Point Method as a New Means of Measuring the Concentration of Soil Solution Directly in Soil,” Tech. Bull. 24, pp. 1–44, Mich. Agr. Sta., East Lansing.
8.
Harlan
, R. L.
, 1973
, “Analysis of Coupled Heat-fluid Transport in Partially Frozen Soil
,” Water Resour. Res.
, 9
(5
), pp. 1314
–1323
.9.
Kennedy
, G. F.
, and Lielmezs
, J.
, 1973
, “Heat and Mass Transfer of Freezing Water-soil System
,” Water Resour. Res.
, 9
(2
), pp. 395
–400
.10.
Guymon
, G. L.
, and Luthin
, J. N.
, 1974
, “A Coupled Heat and Moisture Transport Model for Arctic Soils
,” Water Resour. Res.
, 10
(5
), pp. 995
–1001
.11.
Bresler, E., and Miller, R., 1975, “Estimation of Pore Blockage Induced by Freezing of Unsaturated Soil, Paper Presented at the Conference on Soil Water Problems in Cold Regions,” AGU, Calgary, Alberta.
12.
Jame
, Y. W.
, and Norum
, D. I.
, 1980
, “Heat and Mass Transfer in a Freezing Unsaturated Porous Medium
,” Water Resour. Res.
, 16
(4
), pp. 811
–819
.13.
Motovilov, Yu. G., 1977, “Numerical Modeling of the Infiltration of Water into Frozen Soils,” Meteorologiya I Gidrologiya, 9, pp. 67–75, UDC 556. 072+14.
14.
Guymon
, G. L.
, Hromadka
, II, T. V.
, and Berg
, R. L.
, 1980
, “A One Dimensional Frost Heave Model Based Upon Simulation of Simultaneous Heat and Water Flux
,” Water Resour. Res.
, 3
, pp. 253
–262
.15.
Halldin
, S.
, Grip
, H.
, Jansson
, P. E.
, and Lindgren
, A.
, 1980, “Micrometeorology and Hydrology of Pine Forest Ecosystems.” (Part II) Theory and models, Ecol. Bull., 32, pp. 463–503.16.
Hromadka
, II, T. V.
, Guymon
, G. L.
, and Berg
, R. L.
, 1981
, “Some Approaches to Modeling Phase Change in Freezing Soils
,” Water Resour. Res.
, 4
(2
), pp. 137
–145
.17.
Holden
, J. T.
, Jones
, R. H.
, and Dudex
, S. J. M.
, 1981
, “Heat and Mass Flow Associated with a Freezing Front
,” Eng. Geol. (Amsterdam)
, 18
, pp. 153
–164
.18.
Taylor
, G. S.
, and Luthin
, J. N.
, 1978
, “A Model for Coupled Heat and Moisture Transfer During Soil Freezing.
” Comput. Graph. Image Process.
, 15
(4
), pp. 548
–555
.19.
Goodrich
, L. E.
, 1978
, “Efficient Numerical Technique for One-dimensional Thermal Problems with Phase Change
,” Int. J. Heat Mass Transfer
, 21
, pp. 615
–621
.20.
Heokstra
, P.
, 1966
, “Moisture Movement in Soils Under Temperature Gradients with the Cold-side Temperature Below Freezing
,” Water Resour. Res.
, 2
(2
), pp. 241
–250
.21.
Dirksen
, C.
, and Miller
, R. D.
, 1966
, “Closed-system Freezing of Unsaturated Soil
,” Adv. Spectrosc. (N.Y.)
, 30
, pp. 168
–173
.22.
Kane, D. L., Fox, J. D., Seifert, R. D., and Taylor, G. S., 1978, “Snowmelt Infiltration and Movement in Frozen Soils,” presented at the Third International Conference on Permafrost, Nat. Res. Counc. Of Can., Quebec City, Que., Edmonton, Canada.
23.
Luthin
, J. N.
, and Miller
, R. D.
, 1966
, “Field Testing of Frozen Soil
,” Adv. Spectrosc. (N.Y.)
, 30
(4
), pp. 174
–180
.24.
Engelmark
, H.
, 1984
, “Infiltration in Unsaturated Frozen Soil
,” Nord. Hydrol.
, 15
, pp. 243
–252
.25.
Kung
, S. K. J.
, and Steenhuis
, T. S.
, 1986
, “Heat and Moisture Transfer in a Partly Frozen Nonheaving Soil
,” Soil Sci. Soc. Am. J.
, 50
, pp. 1114
–1122
.26.
Cary
, J. W.
, 1987
, “A New Method for Calculating Frost Heave Including Solute Effects
,” Water Resour. Res.
, 23
(8
), pp. 1620
–1624
.27.
Karvonen, T., 1989, “A Model for Simulating Freezing and Thawing of Unsaturated Soils.” VTT Symp. 1989/94, pp. 267–281.
28.
Engelmark
, H.
, and Svensson
, U.
, 1992
, “Numerical Modeling of Phase Change in Freezing and Thawing Unsaturated Soil
,” Nord. Hydrol.
, 24
(2–3
), pp. 95
–110
.29.
Newman
, G. P.
, and Wilson
, G. W.
, 1997
, “Heat and Mass Transfer in Unsaturated Soils During Freezing
,” Comput. Graph. Image Process.
, 34
(1
), pp. 63
–70
.30.
SIAM, 1994, Lapack User’s Guide, V. 2.0, Philadelphia, P. A. [http://netlib.org/lapack]
31.
DeVries, D. A., 1963, “Thermal Properties of Soils,” in Physics of Plant Environment, edited by W. R. Van Wijk, p. 382, North-Holland, Amsterdam.
32.
Ayers
, P.
, and Campell
, J.
, 1951
, “Analysis of Heat Transfer in Frozen Soil
,” Comput. Graph. Image Process.
pp.
112
–119
.33.
Krarti
, M.
, Chuangchid
, P.
, and Ihm
, P.
, 2003
, “Analysis of Heat and Moisture Transfer Beneath Freezer Foundations, Part II.
” ASME J. Sol. Energy Eng.
126
(2
), pp. 726
–731
.Copyright © 2004
by ASME
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