In this paper, the control volume finite element method (CVFEM) is coupled with the weighted sum of gray gases model (WSGGM) to study the radiative heat transfer in a nongray medium. To the best of our knowledge, the CVFEM–WSGGM is applied for the first time to simulate real-gas. The accuracy of the proposed method is tested through one- and two-dimensional radiative heat transfer within an enclosure filled with a single composition (water vapor or carbon dioxide) or a mixture of H2O, CO2, and N2. Compared to the discrete ordinates method (DOM)–statistical narrow band model (SNBM), the proposed method, using the WSGG model parameters due to Smith or Farag, yields much accurate results than the zonal method (ZM)–WSGGM and DOM–WSGGM. In addition, the present method needs very less control volumes and angles, and consequently computational time, compared to the DOM and ZM coupled with WSGGM.

References

References
1.
Galarça
,
M. M.
,
Mossi
,
A.
, and
França
,
F. H. R.
,
2011
, “
A Modification of the Cumulative Wavenumber Method to Compute the Radiative Heat Flux in Non-Uniform Media
,”
J. Quant. Spectrosc. Radiat. Transfer
,
112
(
3
), pp.
384
393
.
2.
Chu
,
H.
,
Liu
,
F.
, and
Zhou
,
H.
,
2011
, “
Calculations of Gas Thermal Radiation Transfer in One-Dimensional Planar Enclosure Using LBL and SNB Models
,”
Int. J. Heat Mass Transfer
,
54
(21–22), pp.
4736
4745
.
3.
Marakis
,
J. G.
,
2001
, “
Application of Narrow and Wide Band Models for Radiative Transfer in Planar Media
,”
Int. J. Therm. Sci.
,
44
(1), pp.
131
142
.
4.
Coelho
,
P. J.
,
2002
, “
Numerical Simulation of Radiative Heat Transfer From Non-Gray Gases in Three-Dimensional Enclosures
,”
J. Quant. Spectrosc. Radiat. Transfer
,
74
(
3
), pp.
307
328
.
5.
Porter
,
R.
,
Liu
,
F.
,
Pourkashanian
,
M.
,
Williams
,
A.
, and
Smith
,
D.
,
2010
, “
Evaluation of Solution Methods for Radiative Heat Transfer in Gaseous Oxy-Fuel Combustion Environments
,”
J. Quant. Spectrosc. Radiat Transfer
,
111
(
14
), pp.
2084
2094
.
6.
Chen
,
Z.
,
Qin
,
X.
,
Xu
,
B.
,
Ju
,
Y.
, and
Liu
,
F.
,
2007
, “
Studies of Radiation Absorption on Flame Speed and Flammability Limit of CO2 Diluted Methane Flames at Elevated Pressures
,”
Proc. Combust. Inst.
,
31
(
2
), pp.
2693
2700
.
7.
Hottel
,
H. C.
, and
Sarofim
,
A. F.
,
1967
,
Radiative Transfer
,
McGraw-Hill
,
New York
.
8.
Modest
,
M. F.
,
1991
, “
The Weighted-Sum-of-Gray-Gases Model for Arbitrary Solution Methods in Radiative Transfer
,”
ASME J. Heat Transfer
,
113
(
3
), pp.
650
656
.
9.
Goutière
,
V.
,
Liu
,
F.
, and
Charrette
,
A.
,
2000
, “
An Assessment of Real-Gas Modeling in 2D Enclosures
,”
J. Quant. Spectrosc. Radiat. Transfer
,
64
(
3
), pp.
299
326
.
10.
Trivic
,
D. N.
,
2004
, “
Modeling of 3-D Non-Gray Gases Radiation by Coupling the Finite Volume Method With Weighted Sum of Gray Gases Model
,”
Int. J. Heat Mass Transfer
,
47
(6--7), pp.
1367
1382
.
11.
Méchi
,
R.
,
Farhat
,
H.
,
Guedri
,
K.
,
Halouani
,
K.
, and
Said
,
R.
,
2010
, “
Extension of the Zonal Method to Inhomogeneous Non-Gray Semi-Transparent Medium
,”
Energy
,
35
(
1
), pp.
1
15
.
12.
Lallemant
,
N.
,
Sayre
,
A.
, and
Weber
,
R.
,
1996
, “
Evaluation of Emissivity Correlations for H2O-CO2–N2/Air Mixtures and Coupling With Solution Methods of the Radiative Transfer Equation
,”
Prog. Energy Combust. Sci.
,
22
(
6
), pp.
543
574
.
13.
Smith
,
T. F.
,
Shen
,
Z. F.
, and
Fridman
,
J. N.
,
1982
, “
Evaluation of Coefficients for the Weighted Sum of Gray Gases Model
,”
ASME J. Heat Transfer
,
104
(
4
), pp.
602
608
.
14.
Khan
,
Y. U.
,
Lawson
,
D. A.
, and
Tucker
,
R. J.
,
1997
, “
Simples Models of Spectral Radiative Properties of Carbone Dioxide
,”
Int. J. Heat Mass Transfer
,
40
(
15
), pp.
3581
3593
.
15.
Ben Salah
,
M.
,
Askri
,
F.
,
Jemni
,
A.
, and
Ben Nasrallah
,
S.
,
2005
, “
Control Volume Finite Element Method for Radiation
,”
J. Quant. Spectrosc. Radiat. Transfer
,
92
(
1
), pp.
9
30
.
16.
Grissa
,
H.
,
Askri
,
F.
,
Ben Salah
,
M.
, and
Ben Nasrallah
,
S.
,
2007
, “
Three-Dimensional Radiative Transfer Modeling Using the Control Volume Finite Element Method
,”
J. Quant. Spectros. Radiat. Transfer
,
105
(
3
), pp.
388
404
.
17.
Strohle
,
J.
,
2008
, “
Assessment of the Re-Ordered Wide Band Model for Non-Gray Radiative Transfer Calculations in 3D Enclosures
,”
J. Quant. Spectros. Radiat. Transfer
,
109
(
9
), pp.
1622
1640
.
18.
Kim
,
T. K.
,
Menart
,
J. A.
, and
Lee
,
H. S.
,
1991
, “
Nongray Radiative Gas Analyses Using the S-N Discrete Ordinates Method
,”
ASME J. Heat Transfer
,
113
(
4
), pp.
946
952
.
19.
Solovjov
,
V. P.
, and
Webb
,
B. W.
,
2000
, “
SLW Modeling of Radiative Transfer in Multicomponent Gas Mixtures
,”
J. Quant. Spectros. Radiat. Transfer
,
65
(
4
), pp.
655
672
.
You do not currently have access to this content.