Transient coupled radiative and conductive heat transfer in a three-layer absorbing and isotropically scattering composite with semitransparent specular interfaces and surfaces is investigated. The transient energy equation is solved by the full implicit control-volume method in combination with spectral band model. The radiative heat source term is calculated by the radiative transfer coefficients (RTCs), which are deduced by the ray tracing method in combination with Hottel and Sarofim’s zonal method (Hottel H. C., and Sarofim A. F., 1967, Radiative Transfer, McGraw-Hill Book Company, New York). The effects of extinction coefficient, refractive index, and scattering albedo etc., on coupled heat transfer are studied under radiative and convective boundary conditions. The effect of isolating space on coupled heat transfer and the appearance of temperature peaks within the composite are investigated. It is found that temperature peaks also appear in the inner parts of an inhomogeneous semitransparent medium layer even though there is no convection cooling on the surfaces. This occurs when the absorbing coefficient of inner parts is higher than that of the parts close to the surfaces, and the two surfaces are semitransparent and subjected to an external radiation.

1.
Gilpin
,
R. R.
,
Robertson
,
R. B.
, and
Singh
,
B.
,
1977
, “
Radiative Heating in Ice
,”
ASME J. Heat Transfer
,
99
, pp.
227
232
.
2.
Tsai
,
C. F.
, and
Nixon
,
G.
,
1986
, “
Transient Temperature Distribution of A Multilayer Composite Wall with Effects of Internal Thermal Radiation and Conduction
,”
Numer. Heat Transfer
,
10
, No.
1
, pp.
95
101
.
3.
Timoshenko
,
V. P.
, and
Trener
,
M. G.
,
1986
, “
A Method for Evaluation Heat Transfer in Multilayer Semitransparent Materials
,”
Heat Transfer-Sov. Res.
,
18
, No.
5
, pp.
44
57
.
4.
Ho
,
C. H.
, and
O¨zisik
,
M. N.
,
1987
, “
Combined Conduction and Radiation in A Two-Layer Planar Medium with Flux Boundary Condition
,”
Numer. Heat Transfer
,
11
, No.
3
, pp.
321
340
.
5.
Ho
,
C. H.
, and
O¨zisik
,
M. N.
,
1987
, “
Simultaneous Conduction and Radiation in A Two-Layer Planar Medium
,”
J. Thermophys. Heat Transfer
,
1
, No.
2
, pp.
154
161
.
6.
Song
,
D.
, and
Viskanta
,
R.
,
1990
, “
Deicing of Solids Using Radiant Heating
,”
J. Thermophys. Heat Transfer
,
4
, pp.
311
317
.
7.
Siegel
,
R.
, and
Spuckler
,
C. M.
,
1993
, “
Refractive Index Effects on Radiation in an Absorbing, Emitting, and Scattering Laminated Layer
,”
ASME J. Heat Transfer
,
115
, No.
1
, pp.
194
200
.
8.
Siegel
,
R.
,
1996
, “
Two-Flux Green’s Function Analysis for Transient Spectral Radiation in a Composite
,”
J. Thermophys. Heat Transfer
,
10
, No.
4
, pp.
681
688
.
9.
Siegel
,
R.
, and
Spuckler
,
C. M.
,
1993
, “
Variable Refractive Index Effects on Radiation in Semitransparent Scattering Multilayered Regions
,”
J. Thermophys. Heat Transfer
,
7
, No.
4
, pp.
624
630
.
10.
Siegel
,
R.
,
1999
, “
Transient Thermal Analysis of Parallel Translucent Layers by Using Green’s Functions
,”
J. Thermophys. Heat Transfer
,
13
, No.
1
, pp.
10
17
.
11.
Hottel, H. C., and Sarofim, A. F., 1967, Radiative Transfer, McGraw-Hill Book Company, New York.
12.
Tan
,
H.-P.
,
Tong
,
T. W.
,
Ruan
,
L.-M.
,
Xia
,
X.-L.
, and
Yu
,
Q.-Z.
,
1999
, “
Transient Coupled Radiative and Conductive Heat Transfer in an Absorbing, Emitting and Scattering Medium
,”
Int. J. Heat Mass Transf.
,
42
, No.
15
, pp.
2967
2980
.
13.
Tan
,
H.-P.
,
Wang
,
P.-Y.
, and
Xia
,
X.-L.
,
2000
, “
Transient Coupled Radiation and Conduction in an Absorbing and Scattering Composite Layer
,”
J. Thermophys. Heat Transfer
,
14
, No.
1
, pp.
77
87
.
14.
Tan
,
H.-P.
, and
Lallemand
,
M.
,
1989
, “
Transient Radiative-Conductive Heat Transfer in Flat Glasses Submitted to Temperature, Flux and Mixed Boundary Conditions
,”
Int. J. Heat Mass Transf.
,
32
, No.
5
, pp.
795
810
.
15.
Siegel
,
R.
,
1994
, “
Effects of Refractive Index and Diffuse or Specular Boundaries on a Radiating Isothermal Layer
,”
ASME J. Heat Transfer
,
116
, pp.
787
790
.
16.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
17.
Γинзрург A. C., 1973, Оснобы Меорцц ц Мехнцкц сушк ц пцшееых продукмое Москеа Пцшееая Промыщлен носмъ, translated by K. Y. Gao, Mechanism and Technology on Food Torrefaction, published by Chinese Beijing Industry Publishing Company, 1986, pp. 468–503.
18.
Tan
,
H.-P.
, and
Yu
,
Q.-Z.
,
1991
, “
Numerical Analysis of Temperature Field in Materials During Infrared Heating
,”
Chinese J. Infrared and Millimeter Waves
,
10
, No.
2
, pp.
169
178
.
You do not currently have access to this content.