Expanded polystyrene (EPS) foams are one of the most widely used thermal insulators in the building industry. Owing to their very low density, both conductive and radiative heat transfers are significant. However, only few studies have already been conducted in the modeling of heat transfer in this kind of medium. This is due to their complex porous structure characterized by a double-scale porosity which has always been ignored by the previous works. In this study, we present a model of one-dimensional steady state heat transfer in these foams based on a numerical resolution of the radiation-conduction coupling. The modeling of the conductive and radiative properties of the foams takes into account their structural characteristics such as foam density or cell diameter and permits us to study the evolution of their equivalent thermal conductivity with these characteristics. The theoretical results have been compared to equivalent thermal conductivity measurements made on several EPS foams using a flux-meter apparatus and show a good agreement.

1.
Baillis
,
D.
, and
Sacadura
,
J. F.
, 2000, “
Thermal Radiation Properties of Dispersed Media: Theoretical Prediction and Experimental Characterization
,”
J. Quant. Spectrosc. Radiat. Transf.
0022-4073,
67
, pp.
327
363
.
2.
Lee
,
S. C.
, 1989, “
Effect of Fibre Orientation on Thermal Radiation in Fibrous Media
,”
Int. J. Heat Mass Transfer
0017-9310,
32
(
2
), pp.
311
319
.
3.
Jeandel
,
G.
,
Boulet
,
P.
, and
Morlot
,
G.
, 1993, “
Radiative Transfer Through a Medium of Silica Fibres Oriented in Parallel Planes
,”
Int. J. Heat Mass Transfer
0017-9310,
36
(
2
), pp.
531
536
.
4.
Milos
,
F. S.
, and
Marschall
,
J.
, 1997, “
The Calculation of Anisotropic Extinction Coefficients for Radiation Diffusion in Rigid Fibrous Ceramic Insulations
,”
Int. J. Heat Mass Transfer
0017-9310,
40
(
3
), pp.
627
634
.
5.
Milandri
,
A.
, 2000, “
Détermination des Paramètres Radiatifs d’un Isolant Fibreux: Théorie de Mie, Oscillateur De LORENTZ Et Méthodes Inverses
” Ph.D. thesis, Université de Nancy I.
6.
Fedorov
,
A. G.
, and
Viskanta
,
R.
, 2000, “
Radiation Characteristics of Glass Foams
,”
J. Am. Ceram. Soc.
0002-7820,
83
(
11
), pp.
2769
2776
.
7.
Baillis
,
D.
,
Raynaud
,
M.
, and
Sacadura
,
J. F.
, 2000, “
Determination of Spectral Radiative Properties of Open Cell Foam. Model Validation
,”
J. Thermophys. Heat Transfer
0887-8722,
14
(
2
), pp.
137
143
.
8.
Kaviany
,
M.
, and
Singh
,
B. P.
, 1992, “
Modelling Radiative Transfer in Packed Beds
,”
Int. J. Heat Mass Transfer
0017-9310,
35
(
6
), pp.
1397
1405
.
9.
Kamiuto
,
K.
,
Iwamoto
,
M.
,
Nishimura
,
T.
, and
Sato
,
M.
, 1991, “
Albedos and Asymmetry Factors of the Phase Function for Packed-spheres Systems
,”
J. Quant. Spectrosc. Radiat. Transf.
0022-4073,
46
(
4
), pp.
309
316
.
10.
Coquard
,
R.
, and
Baillis
,
D.
, 2004, “
Radiative Characteristics of Opaque Spherical Particles Beds: A New Method of Prediction
,”
J. Thermophys. Heat Transfer
0887-8722,
18
(
2
), pp.
178
186
.
11.
Glicksman
,
L.
,
Schuetz
,
M.
, and
Sinofsky
,
M.
, 1987, “
Radiation Heat Transfer in Foam Insulation
,”
ASME J. Heat Transfer
0022-1481,
109
, pp.
809
812
.
12.
Calmidi
,
V. V.
, and
Mahajan
,
R. L.
, 1999, “
The Effective Thermal Conductivity of High Porosity Fibrous Metal Foams
ASME J. Heat Transfer
0022-1481,
121
, pp.
466
471
.
13.
Kuhn
,
J.
,
Ebert
,
H. P.
,
Arduini Schuster
,
M. P.
,
Buttner
,
D.
, and
Fricke
,
J.
, 1992, “
Thermal Transport in Polystyrene and Polyurethanes Foam Insulations
,”
Int. J. Heat Mass Transfer
0017-9310,
35
(
7
), pp.
1795
1801
.
14.
Quenard
,
D.
,
Sallee
,
H.
,
Menneteau
,
F. D.
, and
Giraud
,
D.
, 1996, “
Heat Transfer in the Packings of Cellular Pellets: Microstructure and Apparent Thermal Conductivity
,”
Proc. 14th European Conference on Thermophysical Properties
, Lyon, France.
15.
Siegel
,
R.
, and
Howell
,
J. R.
, 1992, “
Thermal Radiation Heat Transfer
,” 3rd ed.,
Hemisphere
,
Washington, DC
.
16.
De Vries
,
D. A.
, 1975, “
Heat Transfer in Soils
,” in
Heat and Mass Transfer in the Biosphere
by
De Vries
,
D. A.
, and
Afgan
,
N. H.
,
Wiley
,
New York
, pp.
5
18
.
17.
Draine
,
B. T.
, and
Flatau
,
P. J.
, 1994, “
Discrete Dipole Approximations for Scattering Calculations
,”
J. Opt. Soc. Am. A
0740-3232,
11
, pp.
1491
1499
.
18.
Brewster
,
Q.
, 1992,
Thermal Radiative Transport and Properties
, 1st ed.,
Wiley
,
New York
, Vol.
1
.
19.
Coquard
,
R.
, and
Baillis
,
D.
, 2004, “
Radiative Characteristics of Beds of Spheres Containing an Absorbing and Scattering Medium
,”
J. Thermophys. Heat Transfer
0887-8722,
18
(
2
), pp.
178
186
.
20.
Yuen
,
W. W.
, and
Wong
,
L. W.
, 1980, “
Heat Transfer by Conduction and Radiation in a One-Dimensional Absorbing, Emiiting and Anisotropically-Scattering Medium
ASME J. Heat Transfer
0022-1481,
102
, pp.
303
307
.
You do not currently have access to this content.