The general solution of soil temperature distribution is developed for a slab-on-grade floor with a known heat flux distribution at the slab surface. The Interzone Temperature Profile Estimation (ITPE) technique is applied to determine the steady-state variation of temperature within the ground. A water table at constant temperature is assumed to exist at a given depth below the soil surface. As a first application of the general solution, the optimum thermal insulation distribution is obtained for a slabon-grade floor. A second application of the solution developed in this paper consists of a diagnostic method to determine the configuration and the R-value for the thermal insulation of the slabon-grade floor based on measured data for the heat flux at the slab surface. A parametric analysis is conducted to determine the effects of heat flux profiles and water table depths on the required insulation distribution at the slab surface.

1.
Claesson, J., and Eftring, B., 1980, “Optimal Distribution of Thermal Insulation and Ground Heat Loss,” Document D 33, Swedish Council of Building Research.
2.
Delsante
A. E.
,
Stockes
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 Transfer
, Vol.
26
, pp.
121
132
.
3.
Krarti
M.
,
Claridge
D. E.
, and
Kreider
J. F.
,
1988
, “
The ITPE Technique Applied to Steady-State Ground-Coupling Problems
,”
Int. J. Heat Mass Transfer
, Vol.
31
, pp.
1885
1898
.
4.
Krarti
M.
,
Claridge
D. E.
, and
Kreider
J. F.
,
1990
, “
ITPE Technique Application to Time-Varying Three-Dimensional Ground-Coupling Problems
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
112
, pp.
849
856
.
5.
Krarti
M.
,
1989
, “
Steady-State Heat Transfer Beneath Partially Insulated Slab-on-Grade Floor
,”
Int. J. Heat Mass Transfer
, Vol.
32
, pp.
961
970
.
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 Transactions
, Vol.
69
, pp.
439
462
.
7.
Labs
K.
,
1985
, “
Simplified Earth-Contact Heat Transfer Algorithms for Thermal Analysis and Design
,”
Underground Space
, Vol.
9
, pp.
293
309
.
This content is only available via PDF.
You do not currently have access to this content.