The Monte Carlo method is used for simulation of radiative heat transfers in nongray gases. The proposed procedure is based on a Net-Exchange Formulation (NEF). Such a formulation provides an efficient way of systematically fulfilling the reciprocity principle, which avoids some of the major problems usually associated with the Monte Carlo method: Numerical efficiency becomes independent of optical thickness, strongly nonuniform grid sizes can be used with no increase in computation time, and configurations with small temperature differences can be addressed with very good accuracy. The Exchange Monte Carlo Method (EMCM) is detailed for a one-dimensional slab with diffusely or specularly reflecting surfaces.
Issue Section:
Radiative Transfer
1.
Cherkaoui, M., Dufresne, J. L., Fournier, R., Grandpeix, J. Y., Lahellec, A., and Palenzuela, D., 1992, “Two Procedures for Radiative Calculations With a Narrow-Band Statistical Model in a Volume of Gas at Room Temperature,” Proceedings of the 21st Eurotherm Seminar, F. Allard, J. F. Sacadura, and M. Spiga, eds., EETI Paris, pp. 123–131.
2.
Cherkaoui, M., 1993, “Modelisation et Etude de Sensibilite des Echanges Radiatifs et Conductifs Couples dans une Cavite´ Remplie d’Air Ambiant,” Ph.D. dissertation, Universite´ Paris XII, Paris, France.
3.
Cherkaoui, M., Dufresne, J. L., Fournier, R., Grandpeix, J. Y., Lahellec, A., 1996, “Net Exchange Formulation for One Dimensional Configurations With Reflective Surfaces,” submitted to ASME Journal of Heat Transfer.
4.
Farmer, J. T., and Howell, J. R., 1994, “Monte Carlo Algorithm for Predicting Radiative Heat Transport in Optically Thick Participating Media,” Proc. 10th International Heat Transfer Conference, Vol. 2, G. F. Hewitt, ed., pp. 37–42.
5.
Farmer, J. T., and Howell, J. R., 1994, “Hybrid Monte Carlo/Diffusion Methods for Enhanced Solution of Radiative Transfer in Optically Thick Nongray Media,” ASME HTD-Vol. 276, pp. 203–212.
6.
Fournier, R., 1994, “Rayonnement Thermique dans les Gaz: Analyse du Couplage avec la Convection Naturelle,” Ph.D. dissertation, Universite´ Paul Sabatier, Toulouse, France.
7.
Goody, R. M., and Yung, Y. L., 1989, Atmospheric Radiation, 2nd ed., Oxford University Press, United Kingdom.
8.
Green
J. S. A.
1967
, “Division of Radiative Streams into Internal Transfer and Cooling to Space
,” Quarterly Journal of the Royal Meteorological Society
, Vol. 93
, pp. 371
–372
.9.
Hartmann
J. M.
Levi Di Leon
R.
Taine
J.
1984
, “Line-by-Line and Narrow-Band Statistical Model Calculations for H2O
,” Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol. 32
, No. 2
, pp. 119
–127
.10.
Hottel, H. C., and Sarofim, A. F., 1967, Radiative Transfer, McGraw-Hill, New York.
11.
Howell
J. R.
1968
, “Application of Monte Carlo to Heat Transfer Problems
,” Advances in Heat Transfer
, Vol. 5
, T. F. Irvine and J. P. Hartnett, eds., pp. 1
–54
.12.
Howell
J. R.
1988
, “Thermal Radiation in Participating Media: the Past, the Present and Some Possible Futures
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 110
, pp. 1220
–1229
.13.
James
F.
1994
, “RANLUX: A Fortran Implementation of the High-Quality Pseudorandom Number Generator of Luscher
,” Computer Phys. Commun.
, Vol. 79
, pp. 111
–114
.14.
Joseph
J. M.
Bursztyn
R.
1976
, “A Radiative Cooling Model in the Thermal Infrared for Application to Models of the General Circulation
,” Journal of Applied Meteorology
, Vol. 15
, pp. 319
–325
.15.
Kim
T. K.
Menart
J. A.
Lee
H. S.
1991
, “Nongray Radiative Gas Analyses Using the S-N Discrete Ordinates Method
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 113
, pp. 946
–952
.16.
Liu, J., and Tiwari, S. N., 1993, “Investigation of Two-Dimensional Radiation Using a Narrow Band Model and Monte Carlo Model,” ASME HTD-Vol. 244, pp. 21–31.
17.
Liu
J.
Tiwari
S. N.
1994
, “Investigation of Radiative Transfer in Nongray Gases Using a Narrow Band Model and a Monte Carlo Simulation
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 116
, pp. 160
–166
.18.
Ludwig, C. B., Malkmus, W., Reardon, J. E., and Thompson, J. A. L., 1973, “Handbook of Infrared Radiation From Combustion Gases,” NASA SP-3080.
19.
Luscher
M.
1994
, “A Portable High-Quality Random Number Generator for Lattice Field Theory Simulations
,” Computer Phys. Commun.
, Vol. 79
, pp. 100
–110
.20.
Malkmus
W.
1967
, “Random Lorentz Band Model With Exponential-Tailed S-1 Line-Intensity Distribution Function
,” Journal of the Optical Society of America
, Vol. 57
, No. 3
, pp. 323
–329
.21.
Martin
W. R.
Pomraning
G. C.
1990
, “Monte Carlo Analysis of the Backscattering of Radiation From a Sphere to a Plane
,” Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol. 43
, No. 2
, pp. 115
–126
.22.
Menart
J. A.
Lee
H. S.
Kim
T. K.
1993
, “Discrete Ordinate Solutions of Nongray Radiative Transfer With Diffusely Reflecting Walls
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 115
, pp. 184
–193
.23.
Menart
J. A.
Lee
H. S.
1993
, “Nongray Gas Analyses for Reflecting Walls Utilizing a Flux Technique
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 115
, pp. 645
–652
.24.
Modest
M. F.
1992
, “The Monte Carlo Method Applied to Gases With Spectral Line Structures
,” Numerical Heat Transfer, Part B
, Vol. 22
, pp. 273
–284
.25.
Palenzuela, D., 1992, “Instabilite´s des Ecoulements de Convection Naturelle en Cavite´. Introduction a l’Etude des Couplages Convection-Rayonnement,” Ph.D. dissertation, Universite´ Paul Sabatier, Toulouse, France.
26.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1992, Numerical Recipes, Cambridge University Press, New York.
27.
Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd ed., McGraw-Hill, New York.
28.
Soufiani
A.
Hartmann
J. M.
Taine
J.
1985
, “Validity of Band-Model Calculations for CO2 and H2O Applied to Radiative Properties and Conductive-Radiative Transfer
,” Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol. 33
, No. 3
, pp. 243
–257
.29.
Vercammen
H. A. J.
Froment
G. F.
1980
, “An Improved Zone Method Using Monte Carlo Techniques for the Simulation of Radiation in Industrial Furnaces
,” International Journal of Heat and Mass Transfer
, Vol. 23
, pp. 329
–337
.30.
Walters
D. V.
Buckius
R. O.
1992
, “Rigorous Development for Radiation Heat Transfer in Nonhomogeneous Absorbing Emitting and Scattering Media
,” International Journal of Heat and Mass Transfer
, Vol. 35
, No. 12
, pp. 3323
–3333
.31.
Yguel, F., 1988, “Etude de la Convection Naturelle Tridimensionnelle dans les Cavite´s Ferme´es de Grandes Dimensions,” Ph.D. dissertation, Universite´ de Poitiers, Poitiers, France.
32.
Zhang
L.
Soufiani
A.
Taine
J.
1988
, “Spectral Correlated and Non-correlated Radiative Transfer in a Finite Axisymmetric System Containing an Absorbing and Emitting Real Gas-Particle Mixture
,” International Journal of Heat and Mass Transfer
, Vol. 31
, No. 11
, pp. 2261
–2272
.
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