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TECHNICAL PAPERS

Steady-State Component of Three-Dimensional Slab-on-Grade Foundation Heat Transfer

[+] Author and Article Information
Pirawas Chuangchid, Moncef Krarti

Joint Center for Energy Management, CEAE Dept., CB 428 University of Colorado at Boulder, Boulder, CO 80309

J. Sol. Energy Eng 123(1), 18-29 (Dec 01, 2000) (12 pages) doi:10.1115/1.1346677 History: Received September 01, 1998; Revised December 01, 2000
Copyright © 2001 by ASME
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References

Akridge,  J. M., and Poulos,  J. F. J., 1983, “The Decremented Average Ground Temperature Method for Predicting the Thermal Performance of Underground Walls,” ASHRAE Trans., 89, No. 2A, p. 49.
Yard,  D. C., Gibson,  M., and Mitchell,  J. W., 1984, “Simplified Relations for Heat Loss from Basements,” ASHRAE Trans., 90, No. 1B, pp. 663–643.
Ship, P. H., 1982, “Basement, Crawlspace and Slab-on-Grade Thermal Performance,” Proc. of ASHRAE/DOE Thermal Envelopes Conf., Las Vegas, NV.
Mitalas,  G. P., 1983, “Calculation of Basement Heat Loss,” ASHRAE Trans., 89, No. 1B, p. 420.
Mitalas, G. P., 1987, “Calculation of Below Grade Heat Loss-Low Rise Residential Building,” ASHRAE Trans., 93 , No. 1.
Kusuda,  T., and Achenbach,  T. R., 1963, “Numerical Analysis of the Thermal Environment of Occupied Underground Spaces with Finite Cover Using Digital Computer,” ASHRAE Trans., 69, pp. 439–462.
Metz,  P. D., 1983, “Simple Computer Program to Model Three-dimensional Underground Heat Flow with Realistic Boundary Conditions,” ASME J. Sol. Energy Eng., 105, No. 1, pp. 42–49.
Walton,  G. N., 1987, “Estimation 3-D Heat Loss from Rectangular Basements and Slabs using 2-D Calculations,” ASHRAE Trans., 93, pp. 791–797.
Bahnfleth,  W. P., Petersen,  C. O., 1990, “A Three-Dimensional Numerical Study of Slab-on-Grade Heat Transfer,” ASHRAE Trans., 96, Part 2, pp. 61–72.
Lachenbruch, A. H., 1967, “Three-dimensional Heat Conduction in Permafrost Beneath Heated Buildings,” Geological Survey Bulletin 1052-B, U.S. Government Printing Office, Washington, DC.
Delsante,  A. E., Stockers,  A. N., and Walsh,  P. J., 1982, “Application of Fourier Transforms to Periodic Heat Flow into the Ground Under a Building,” Int. J. Heat Mass Transf., 26, pp. 121–132.
Krarti,  M., Claridge,  D. E., and Kreider,  J. F., 1990, “The ITPE Method Applied to Time-Varying Three-dimensional Ground-coupling Problems,” ASME J. Heat Transfer, 112, No. 4, pp. 849–856.
Krarti,  M., Claridge,  D. E., and Kreider,  J. F., 1988, “The ITPE Method Applied to Time-Varying Two-dimensional Ground-Coupling Problems,” Int. J. Heat Mass Transf., 31, pp. 1899–1911.
Chuangchid,  P., and Krarti,  M., 2000, “Steady-Periodic Three-Dimensional Foundation Heat Transfer from Refrigerated Structures,” ASME J. Sol. Energy Eng., 122, No. 2, pp. 69–83.
Hagentoft,  C. E., 1996, “Heat Losses and Temperature in the Ground under a Building with and without Ground Water Flow-II. Finite Ground Water Flow Rate,” Building and Environment, 31, No. 1, pp. 13–19.
SIAM, 1994, Lapack User’s Guide, V. 2.0, Philadelphia, PA.

Figures

Grahic Jump Location
Model for foundation configuration with finite water table level for a circular slab-on-grade floor
Grahic Jump Location
Percent of error versus truncation number N for circular slab-on-grade heat transfer calculation.
Grahic Jump Location
(a) Soil temperature distribution beneath uninsulated circular slab. (b) Soil temperature distribution beneath well insulated circular slab.
Grahic Jump Location
Total circular slab heat loss per unit area as a function of slab radius and insulation level
Grahic Jump Location
(a) Total circular slab heat loss per unit area as a function of water level and insulation level for Ta=10°C. (b) Total circular slab heat loss per unit area as a function of water level and insulation level for Ta=−5°C.
Grahic Jump Location
Total circular slab heat loss per unit area as a function of insulation level and slab radius
Grahic Jump Location
Model for foundation configuration with finite water table level for a three-dimensional rectangular slab-on-grade floor
Grahic Jump Location
Percent of error versus truncation number N for three-dimensional rectangular slab-on-grade heat transfer calculation
Grahic Jump Location
(a) Soil temperature distribution beneath uninsulated rectangular slab. (b) Soil temperature distribution beneath well insulated rectangular slab.
Grahic Jump Location
(a) Total heat loss per unit area as a function of slab size and insulation level for a square slab. (b) Total rectangular heat loss per unit area as a function of slab width and insulation level for a fixed length c=5.0 m.
Grahic Jump Location
(a) Total heat loss per unit area as a function of water table and insulation level for a 10-m square slab and Ta=15°C. (b) Total heat loss per unit area as a function of water table and insulation level for a 10-m square slab and Ta=10°C.  
Grahic Jump Location
Total heat loss per unit area as a function of insulation level and slab size for a square slab
Grahic Jump Location
Variation of total slab heat loss per unit area as a function of A/P ratio for various slab shapes (circular, rectangular, and square)

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