General semi-analytical solutions for the steady-state heat conduction problems for circular and three-dimensional rectangular slab-on-grade floors with uniform insulation are presented. The soil temperature field, and the total slab heat loss are presented and analyzed using the Interzone Temperature Profile Estimation (ITPE) technique. A parametric analysis is conducted to determine the effect of thermal insulation U-value, slab size, and water table depth on the total slab heat loss. In particular, it was found that the total slab heat loss is independent of its shape but is strongly affected by the slab size and thermal characteristics.
Issue Section:
Technical Papers
1.
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
49
.2.
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
.3.
Ship, P. H., 1982, “Basement, Crawlspace and Slab-on-Grade Thermal Performance,” Proc. of ASHRAE/DOE Thermal Envelopes Conf., Las Vegas, NV.
4.
Mitalas
, G. P.
, 1983
, “Calculation of Basement Heat Loss
,” ASHRAE Trans.
, 89
, No. 1B
, p. 420
420
.5.
Mitalas, G. P., 1987, “Calculation of Below Grade Heat Loss-Low Rise Residential Building,” ASHRAE Trans., 93, No. 1.
6.
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
.7.
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
.8.
Walton
, G. N.
, 1987
, “Estimation 3-D Heat Loss from Rectangular Basements and Slabs using 2-D Calculations
,” ASHRAE Trans.
, 93
, pp. 791
–797
.9.
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
.10.
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.
11.
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
.12.
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
.13.
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
.14.
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
.15.
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
.16.
SIAM, 1994, Lapack User’s Guide, V. 2.0, Philadelphia, PA.
Copyright © 2001
by ASME
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