This paper presents a new three-dimensional analytical solution for transient ground-coupled heat transfer associated with slab-on-grade floor building foundations. The impact of above-grade walls on ground-coupled heat transfer is accounted for in the presented solution. The interzone temperature profile estimation (ITPE) technique is utilized to obtain the 3D solution suitable to determine soil temperature distributions and to estimate foundation heat loss/gain from slab-on-grade floors. The ITPE results are validated against results obtained from a closed-form solution in the case of steady-state conditions. It is found that that the above-grade walls can significantly affect the foundation heat losses especially for uninsulated slabs. Moreover, a simplified approach is proposed to obtain three-dimensional foundation heat losses from a two-dimensional solution.

Issue Section:
Research Papers
Keywords:
analytical solution, heat loss, slab foundations, wall thickness, 3D temperature solution
Topics:
Heat transfer, Slabs, Temperature, Soil, Heat losses

References

1.
Claridge
,
D. E.
,
1988
,
Foundation Heat Loss From Heated Concrete Slabon-Grade Floors (Advances in Solar Energy)
,
ASES
,
Boulder, CO
.
2.
Krarti
,
M.
,
2000
, “
Ground-Coupled Heat Transfer
,”
Advances in Solar Energy
,
Y.
Goswami
, ed.,
ASES
,
Boulder, CO
, p.
90
.
3.
Bahnfleth
,
W. P.
, and
Petersen
,
C. O.
,
1990
, “
Three-Dimensional Modeling of Heat Transfer From Slab Floors
,”
ASHRAE Trans.
,
96
, pp.
61
–
72
.
4.
Deru
,
M.
, and
Kirkpatrick
,
A.
,
2001
, “
Ground-Coupled Heat and Moisture Transfer From Buildings: Part 1—Analysis and Modeling
,”
ASME J. Sol. Energy Eng
.,
124
(
1
), pp.
10
–
16
.10.1115/1.1435652
5.
Ihm
,
P.
, and
Krarti
,
M.
,
2009
, “
Implementation of a Building Foundation Heat Transfer Model Into Energy-Plus
,”
J. Build. Perform. Simul.
,
2
(
2
), pp.
127
–
142
.10.1080/19401490802613610
Google Scholar
Crossref
Search ADS
 
6.
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 Transfer
,
26
, pp.
121
–
132
.10.1016/S0017-9310(83)80014-3
Google Scholar
Crossref
Search ADS
 
7.
Krarti
,
M.
,
Claridge
,
D. E.
, and
Kreider
,
J.
,
1988
, “
ITPE Method Applications to Time-Varying Two-Dimensional Ground-Coupling Problems
,”
Int. J. Heat Mass Transfer
,
31
, pp.
1899
–
1911
.10.1016/0017-9310(88)90203-7
Google Scholar
Crossref
Search ADS
 
8.
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
(
4
), pp.
849
–
856
.10.1115/1.2910491
Google Scholar
Crossref
Search ADS
 
9.
Chuangchid
,
P.
, and
Krarti
,
M.
,
2004
, “
Steady-State Periodic 3-D Foundation Heat Transfer From Refrigerated Structures
,”
ASME J. Solar Energy Eng.
,
112
, pp.
198
–
199
.
10.
Krarti
,
M.
,
Claridge
,
D. E.
, and
Kreider
,
J. F.
,
1993
, “
Energy Calculations for Basements, Slabs, and Crawl Space
,” Research Report, TC 4.7 Project 666-RP, ASHRAE, pp.
69
–
97
.
11.
SIAM
,
1994
,
Lapack User's Guide
,
2nd ed., Society for Industrial and Applied Mathematics
,
Philadelphia, PA
.
12.
Khlifi
,
A.
, and
Krarti
,
M.
,
2012
, “
A Frequency-Domain Regression Method for Estimating Building Foundation Heat Transfer
,”
J. Build. Perform. Simul.
,
5
(
2
), pp.
93
–
104
.10.1080/19401493.2010.533389
Google Scholar
Crossref
Search ADS
 
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