Analytical solutions for steady-periodic ground-coupled heat conduction problems for cylindrical and three-dimensional rectangular slab-on-grade floors beneath refrigerated structures with uniform and partial insulation are presented in this paper. The solutions provide the soil temperature field, and the total slab heat gain. A parametric analysis is conducted to determine the effect of thermal insulation U-value and insulation width on the mean, amplitude, and phase lag of total slab heat gain. In particular, it was found that the mean and the amplitude of the total slab heat gain are effectively independent of its shape but are strongly affected by the slab size and thermal characteristics. [S0199-6231(00)00502-5]
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
, Part 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
, Part 1B, pp. 633
–643
.3.
Ship, P. H., 1982, “Basement, Crawlspace and Slab-on-Grade Thermal Performance,” Proceedings of ASHRAE/DOE Thermal; Envelopes Conference, Las Vegas, NV.
4.
Mitalas
, G. P.
, 1983
, “Calculation of Basement Heat Loss
,” ASHRAE Trans.
, 89
, Part 1B, pp. 420
420
.5.
Mitalas
, G. P.
, 1987
, “Calculation of Below Grade Heat Loss—Low Rise Residential Building
,” ASHRAE Trans.
, 93
, Part 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
, p. 791
–797
.9.
Bahnfleth, W. P., 1989, “Three-Dimensional Modeling of Heat Transfer From Slab Floors,” USACERL Technical Manuscript E-89/11.
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, D.C.
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
, “ITPE Technique Applications to Time Varying Two-Dimensional Ground-Coupling Problems
,” Int. J. Heat Mass Transf.
, 31
, No. 9
, pp. 1899
–1911
.14.
Krarti, M., and Chuangchid, P., 1999, Cooler Floor Heat Gain in Refrigerated Structures, ASHRAE Research Project 953-TRP, Atlanta: American Society of Heating, Refrigerating and Air-Conditioning Engineering, Inc.
15.
SIAM, 1994, Lapack User’s Guide, V. 2.0, Philadelphia, P.A.
Copyright © 2000
by ASME
You do not currently have access to this content.
