The Monte Carlo Method in Radiative Heat Transfer (2024)

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Volume 120, Issue 3

August 1998

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Journal of Heat Transfer

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J. R. Howell

J. R. Howell

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712-1063

e-mail: jhowell@mail.utexas.edu

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J. R. Howell

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712-1063

e-mail: jhowell@mail.utexas.edu

J. Heat Transfer. Aug 1998, 120(3): 547-560 (14 pages)

Published Online: August 1, 1998

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Received:

February 17, 1998

Revised:

March 13, 1998

Online:

December 5, 2007

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Howell, J. R. (August 1, 1998). "The Monte Carlo Method in Radiative Heat Transfer." ASME. J. Heat Transfer. August 1998; 120(3): 547–560. https://doi.org/10.1115/1.2824310

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The use of the Monte Carlo method in radiative heat transfer is reviewed. The review covers surface-surface, enclosure, and participating media problems. Discussion is included of research on the fundamentals of the method and on applications to surface-surface interchange in enclosures, exchange between surfaces with roughness characteristics, determination of configuration factors, inverse design, transfer through packed beds and fiber layers, participating media, scattering, hybrid methods, spectrally dependent problems including media with line structure, effects of using parallel algorithms, practical applications, and extensions of the method. Conclusions are presented on needed future work and the place of Monte Carlo techniques in radiative heat transfer computations.

Issue Section:

1997 Max Jakob Memorial Award Lecture

Keywords:

Computational, Emitting, Heat Transfer, Radiation, View Factors

Topics:

Monte Carlo methods, Radiative heat transfer, Algorithms, Computation, Design, Electromagnetic scattering, Fibers, Heat transfer, Radiation (Physics), Surface roughness

1.

Abbasi

M. H.

, and

Evans

J. W.

,

1982

, “

Monte Carlo Simulation of Radiant Transport Through an Adiabatic Packed Bed or Porous Solid

,”

AIChE J.

, Vol.

28

, No.

5

, pp.

853

854

.

2.

Al Abed

A.

, and

Sacadura

J.-K.

,

1983

, “

A Monte Carlo-Finite Difference Method for Coupled Radiation-Conduction Heat Transfer in Semitransparent Media

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

105

, pp.

931

933

.

3.

Al-Bahadili, H., and Wood, J., 1993, “Calculation of Radiative Heat Transfer Through a Grey Gas on Parallel Computer Architecture,” Parallel Computation, A. E. Fincham and B. Ford, eds., Clarendon Press, Oxford, pp. 135–157.

4.

Almazan, P., 1994, “Accuracy Control in Monte Carlo Radiative Calculations,” Proc. 5th Annual Thermal and Fluids Analysis Workshop, NASA Lewis Research Center, pp. 47–62.

5.

Ambirajan

A.

, and

Look

D. C.

,

1996

, “

A Backward Monte Carlo Estimator for the Multiple Scattering of a Narrow Light Beam

,”

J. Quant. Spectrosc. Radiat. Transfer

, Vol.

56

, No.

3

, pp.

317

336

.

6.

Antoniak

Z. I.

,

Palmer

B. J.

,

Drost

M. K.

, and

Welty

J. R.

,

1996

, “

Parametric Study of Radiative Heat Transfer in Arrays of Fixed Discrete Surfaces

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

118

, pp.

228

230

.

7.

Argento

C.

, and

Bouvard

D.

,

1996

, “

A Ray Tracing Method for Evaluating the Radiative Heat Transfer in Porous Media

,”

Int. J. Heat Mass Transfer

, Vol.

39

, No.

15

, pp.

3175

3180

.

8.

Billings, Ronald J., Barnes, J. Wesley, Howell, John R., and Singh, Sanjay K., 1989, “Using Markov Chains to Analyze Thermal Radiation Heat Transfer in Participating Media,” Proc. ORSA/TIMS Conference, Vancouver.

9.

Billings

Ronald L.

,

Barnes

J. Wesley

, and

Howell

John R.

,

1991

a, “

Markov Analysis of Radiative Transfer in Enclosures with Bidirectional Reflections

,”

Num. Heat Transfer, Part A

, Vol.

19

, No.

3

, pp.

101

114

.

10.

Billings

Ronald L.

,

Barnes

J. Wesley

,

Howell

John R.

, and

Slotboom

O. Erik

,

1991

b, “

Markov Analysis of Radiative Heat Transfer in Specular Enclosures

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

113

, pp.

429

436

.

11.

Blechschmidt

D.

,

1974

, “

Monte Carlo Study of Light Transmission Through a Cylindrical Tube

,”

J. Vac. Sci. Technol.

, Vol.

11

, No.

3

, pp.

570

574

.

12.

Brewster, M. Quinn, 1992, Thermal Radiative Transfer and Properties, John Wiley and Sons, New York.

13.

Burns

P. J.

, and

Pryor

D. V.

,

1989

, “

Vector and Parallel Monte Carlo Radiative Heat Transfer Simulation

,”

Num. Heat Transfer

, Part B, Vol.

16

, pp.

97

124

.

14.

Bushinskii

A. V.

,

1976

, “

Determination of the Geometric-Optics Coefficients of Thermal Radiation by the Monte Carlo Method

,”

Inzhenerno-Fizicheskii Zh.

, Vol.

30

, No.

1

, pp.

160

166

.

15.

Campbell

Philip M.

,

1967

, “

Monte Carlo Method for Radiative Transfer

,”

Int. J. Heat Mass Transfer

, Vol.

10

, No.

4

, pp.

519

527

.

16.

Chen

J. C.

, and

Churchill

S. W.

,

1963

, “

Radiant Heat Transfer in Packed Beds

,”

AIChE J.

, Vol.

9

, No.

1

, pp.

35

41

.

17.

Cherkaoui

M.

,

Dufresne

J.-L.

,

Fournier

R.

,

Grandpiex

J.-Y.

, and

Lahellec

A.

,

1996

, “

Monte Carlo Simulation of Radiation in Gases with a Narrow-Band Model and a Net-Exchange Formulation

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

118

, pp.

401

407

.

18.

Corlett

R. C.

,

1966

, “

Direct Monte Carlo Calculation of Radiative Heat Transfer in Vacuum

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

88

, pp.

376

382

.

19.

Deissler

R. G.

,

1964

Diffusion Approximation for Thermal Radiation in Gases with Jump Boundary Condition

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

86

, No.

2

., pp.

240

246

.

20.

Duic, N., Bogdan, Z., Schneider, D. R., Sˇerman, N., and Afgan, N., 1996, “Tube Leakage Effect on Radiative Heat Flux in Boiler,” Radiative Transfer I—Proc. First Int. Symp. Radiation Transfer, M. Pinar Mengu¨c¸, ed., Begell House, New York, pp. 610–619.

21.

Dunn

W. L.

,

1983

, “

Inverse Monte Carlo Solutions for Radiative Transfer in Inhom*ogeneous Media

,”

J. Quant. Spectrosc. Radiat. Transfer

, Vol.

29

, No.

1

, pp.

19

26

.

22.

Edwards

D. K.

, and

Tobin

R. D.

,

1967

, “

Effect of Polarization on Radiant Heat Transfer through Long Passages

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

89

, No.

1

, pp.

132

138

.

23.

Edwards, D. K., 1985, “Hybrid Monte-Carlo Matrix-Inversion Formulation of Radiation Heat Transfer with Volume Scattering,” Proc. 23rd Natl. Heat Trans. Conf., Denver, pp. 273–278.

24.

Egan

W.

, and

Hilgeman

T.

,

1978

, “

Spectral Reflectance of Particulate Materials: A Monte Carlo Model Including Asperity Scattering

,”

Appl. Optics

, Vol.

17

, No.

2

, Jan. 15, pp.

245

252

.

25.

Esposito

L. W.

, and

House

L. L.

,

1978

, “

Radiative Transfer Calculated from a Markov Chain Formalism

,”

Astrophs. J.

, Vol.

219

, Feb. 1, pp.

1058

1067

.

26.

Farag

I. H.

,

Hemming

M. K.

, and

Reicker

E.

,

1986

, “

Effects of Radiative Scattering on a Monte-Carlo Semi-Infinite Furnace Slab

,”

Heat and Technology

, Vol.

4

, No.

1

, pp.

33

46

.

27.

Farmer, J. T., and Howell, J. R., 1992, “Monte Carlo Solution of Radiative Heat Transfer in a Three-Dimensional Enclosure with an Anisotropically Scattering, Spectrally Dependent, Inhom*ogeneous Medium,” Developments in Radiative Heat Transfer, S. T. Thynell et al., eds., ASME, New York, pp. 301–309.

28.

Farmer

J. T.

, and

Howell

J. R.

,

1994

a, “

Monte Carlo Prediction of Radiative Heat Transfer in Inhom*ogeneous, Anisotropic, Non-gray Media

,”

J. Thermophys. Heat Trans.

, Vol.

8

, No.

1

, pp.

133

139

.

29.

Farmer, J. T., and Howell, J. R., 1994b, “Hybrid Monte Carlo/Diffusion Method for Enhanced Solution of Radiative Transfer in Optically Thick Non-Gray Media,” Radiative Transfer: Current Research, Y. Bayazitoglu et al., eds., ASME, New York, pp. 203–212.

30.

Farmer, J. T., and Howell, J. R., 1994c, “Monte Carlo Algorithms for Predicting Radiative Heat Transport in Optically Thick Participating Media,” Proc. 10th International Heat Transfer Conference, Vol. 2, Brighton, Aug., pp. 37–42.

31.

Farmer, Jeffery T., 1995, “Improved Algorithms for Monte Carlo Analysis of Radiative Heat Transfer in Complex Participating Medium,” Ph.D. dissertation, Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX.

32.

Farmer, Jeffery T., and Howell, John R., 1998 “Monte Carlo Strategies for Radiative Transfer in Participating Media,” Advances in Heat Transfer, Vol. 31, J. P. Hartnett and T. Irvine, eds., Academic Press, San Diego, pp. 1–97.

33.

Fleck

J. A.

,

1961

, “

The Calculation of Nonlinear Radiation Transport by a Monte Carlo Method: Statistical Physics

,”

Methods in Computational Physics

, Vol.

1

, pp.

43

65

.

34.

Franc¸a, Francis, Morales, Juan C., Oguma, Masahito, and Howell, John R., 1997, “Inverse Design of Engineering Systems Dominated by Radiative Transfer,” Radiative Transfer II: Proc. Second Int. Symp. on Radiative Heat Trans., M. Pinar Menguc¸, ed., Begell House, New York.

35.

Franc¸a, Francis, Morales, Juan C., Oguma, Masahito, and Howell, John R., 1998, “Inverse Design of Thermal Systems with Participating Radiating Media,” Proc. 13th Int. Heat Trans. Conf., Vol. 1, KyongJu, Korea, Aug.

36.

Galanova

Z. S.

, and

Shamshina

G. A.

,

1981

, “

Calculation of Thermal Radiation from Jets by the Monte-Carlo Method

,”

Fluid Mechanics—Soviet Research

, Vol.

10

, No.

2

, pp.

33

38

(originally published 1981 in Gazodinamika i Teploobmen, No. 6, pp. 184–190.)

37.

Gupta

R. P.

,

Wall

T. F.

, and

Truelove

J. S.

,

1983

, “

Radiative Scatter by Fly Ash in Pulverized-Coal-Fired Furnaces: Application of the Monte Carlo Method to Anisotropic Scatter

,”

Int. J. Heat Mass Transfer

, Vol.

26

, No.

11

, pp.

1649

1660

.

38.

Haji-Sheikh, A., and Sparrow, E. M., 1969, “Probability Distributions and Error Estimates for Monte Carlo Solutions of Radiation Problems,” Progress in Heat and Mass Transfer, Vol. 2, Thomas F. Irvine, Warren E. Ibele, James P. Hartnett, and Richard J. Goldstein, eds., Pergamon, Oxford, pp. 1–12.

39.

Haji-Sheikh, A., 1988, “Monte Carlo Methods,” Handbook of Numerical Heat Transfer, Wiley Interscience, New York, pp. 673–722.

40.

Hayes

Brian

,

1993

, “

The Wheel of Fortune

,”

Am. Scientist

, Vol.

81

, May–June, pp.

114

118

.

41.

Henson, J. C., Malasekekera, W. M. G., and Dent, J. C., 1996, “Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional, Nonhom*ogeneous Participating Media,” Solution Methods for Radiative Transfer in Participating Media, R. D. Skocypek, S. T. Thynell, D. A. Kaminski, A. M. Smith, and T. Tong, eds., ASME, New York.

42.

House

L. L.

, and

Avery

L. W.

,

1969

, “

The Monte Carlo Technique Applied to Radiative Transfer

,”

J. Quant. Spectrosc. Radiat. Transfer

, Vol.

9

, pp.

1579

1591

.

43.

Howell

John R.

, and

Perlmutter

Morris

,

1964

a, “

Monte Carlo Solution of Thermal Transfer Through Radiant Media Between Gray Walls

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

86

, pp.

116

122

.

44.

Howell

John R.

, and

Perlmutter

Morris

,

1964

b, “

Monte Carlo Solution of Radiant Heat Transfer in Nongrey Nonisothermal Gas with Temperature Dependent Properties

,”

AICHE J.

, Vol.

10

, No.

4

, pp.

562

567

.

45.

Howell, John R., Strite, Mary K., and Renkel, Harold, 1964c, “Analysis of Heat Transfer Effects in Rocket Nozzles Operating with Very High-Temperature Hydrogen,” NASA Technical Report TR-220, Feb.

46.

Howell, John R., and Renkel, Harold E., 1965, “Analysis of the Effect of a Seeded Propellant Layer on Thermal Radiation in the Nozzle of a Gaseous-Core Nuclear Propulsion System,” NASA Technical Note TN D-3119, Dec.

47.

Howell

John R.

, and

Strite

Mary K.

,

1966

, “

Heat Transfer in Rocket Nozzles Using High-Temperature Hydrogen Propellant with Real Property Variations

,”

J. Spacecraft and Rockets

, Vol.

3

, No.

7

, pp.

1063

1068

.

48.

Howell, John R., 1968, “Application of Monte Carlo to Heat Transfer Problems,” Advances in Heat Transfer, Vol. 5, J. P. Harnett and T. Irvine, eds., Academic Press, San Diego, pp. 1–54.

49.

Howell

John R.

, and

Durkee

R. E.

,

1971

, “

Radiative Transfer Between Surfaces in a Cavity with Collimated Incident Radiation: A Comparison of Analysis and Experiment

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

93

, pp.

129

135

.

50.

Howell

John R.

,

1973

, “

The Treatment of Data Uncertainties in Thermal Analysis

,”

J. Spacecraft and Rockets

, Vol.

10

, No.

6

, pp.

411

414

.

51.

Howell, John R., and Bannerot, R. B., 1976, “Trapezoidal Grooves as Moderately Concentrating Solar Energy Collectors,” Radiative Transfer and Thermal Control, (AIAA Progress in Aeronautics and Astronautics Series, Vol. 49), A. E. Smith, ed., pp. 277–289.

52.

Howell, John R., 1998, A Catalog of Radiation Configuration Factors, 2nd Ed., electronic version, available at http://www.me.utexas.edu/howe.

53.

Howell, John R., and Mengu¨c¸, M. Pinar, 1998, “Radiation,” Handbook of Heat Transfer Fundamentals, J. P. Hartnett and T. J. Irvine, eds., McGraw-Hill, New York, Chapter 7, in press.

54.

Hsu, P.-f., and Farmer, J. T., 1995, “Benchmark Solutions of Radiative Heat Transfer within Nonhom*ogeneous Participating Media using the Monte Carlo and YIX Methods,” Proc. 1995 Natl. Heat Transfer Conf., Vol. 13, Y. Bayazitoglu, D. Kaminski, and P. D. Jones, eds., ASME, New York, pp. 29–36.

55.

Hsu, P.-f., and Tan, Y., 1996, “Recent Benchmarkings of Radiative Transfer within Nonhom*ogeneous Participating Media and the Improved YIX Method,” Radiative Transfer I—Proc. First Int. Symp. Radiation Transfer, M. Pinar Menguc¸, ed., Begell House, New York, pp. 107–126.

56.

Jodrey, W. S., and Tory, E. M., 1979, “Simulation of Random Packing of Spheres,” Simulation, Jan., pp. 1–12.

57.

Kalos, M. H., and Whitlock, P. A., 1986, Monte Carlo Methods. Volume I: Basics, John Wiley and Sons, New York.

58.

Kaminski

Deborah A.

,

1989

, “

Radiative Transfer From a Gray, Absorbing-Emitting, Isothermal Medium in a Conical Enclosure

,”

ASME Journal of Solar Energy Engineering

, Vol.

111

, pp.

324

329

.

59.

Kaviany, Massoud, and Singh, B. P., 1993, “Radiative Heat Transfer in Porous Media,” Advances in Heat Transfer, Vol. 23, Hartnett, J. P. and Irvine, T., eds., Academic Press, San Diego, pp. 133–186.

60.

Kobiyama

M.

,

1989

, “

Reduction of Computing Time and Improvement of Convergence Stability of the Monte Carlo Method Applied to Radiative Heat Transfer with Variable Properties

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

111

, pp.

135

140

.

61.

Kudo, K., Taniguchi, H., Kaneda, H., Yang, W. J., Zhang, Y. Z., Guo, K.-H., and Matsumura, M., 1990, “Flow and Heat Transfer Simulation in Circulating Fluidized Beds,” Circulating Fluidized Bed Technology III: Proc. Third Int. Conf. on Circulating Fluidized Beds, P. Basu, M. Horio, and M. Hasatani, eds., Nagoya, Oct., Pergamon Press, Oxford, pp. 269–274.

62.

Kudo, K., Taniguchi, H., Kuroda, A., Sasaki, T., and Yamamoto, T., 1991a, “Development of General Purpose Computer Code for Two/Three Dimensional Radiation Heat Transfer Analysis,” Proc. Seventh Int. Conf. on Numerical Meths. in Thermal Problems, R. L. Lewis, J. H. Chin, and G. M. Homsy, eds., Vol. VII, Pt. 1, Pineridge Press, Swansea, pp. 698–708.

63.

Kudo, K., Taniguchi, Hiroshi, Kim, Yong-Mo, and Yang, Wen-Jei, 1991b, “Transmittance of Radiative Energy through Three-Dimensional Packed Spheres,” Proc. 1991 ASME/JSME Thermal Engineering Joint Conf., J. Lloyd and Y. Kurosoki, eds., ASME, New York, pp. 35–42.

64.

Kudo

K.

,

Taniguchi

H.

,

Kuroda

A.

,

Oath

M.

, and

Dakota

H.

,

1993

a, “

Improvement of Analytical Method on Radiative Heat Transfer in Nongray Media by Monte Carlo Method

,”

Heat Transfer—Japanese Research

, Vol.

22

, pp.

559

572

.

65.

Kudo, K., Taniguchi, H., Kuroda, A., Sumarsono, M., and f*ckuchi, T., 1993b, “Analysis of Radiative Characteristics of Heat-Generating Particles Dispersed in Non-Gray Combustion-Gas Slab,” Proc. JSME-ASME Intl. Conf. On Power Engineering: ICOPE-93, JSME, Tokyo.

66.

Kudo, K., Li, B., and Kuroda, A., 1995, “Analysis on Radiative Energy Transfer through Fibrous Layer Considering Fibrous Orientation,” Proc. 1995 Natl. Heat Transfer Conf., ASME, New York. pp. 37–43.

67.

Kudo, K., Taniguchi, H., Kuroda, A., Otaka, M., Ushijima, T., and Obata, M., 1995, “Analysis on Radiative Characteristics of High-Temperature Nongray-Gas Jet,” Proc. 1995 ASME/JSME Thermal Engineering Joint Conference, Vol. 3, L. S. Fletcher and T. Aihara, eds., ASME, New York, pp. 273–278.

68.

Larsen

Marvin E.

, and

Howell

John R.

,

1986

, “

Least-Squares Smoothing of Direct Exchange Factors in Zonal Analysis

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

108

, pp.

239

242

.

69.

Lewis, E. E., and Miller, W. F., Jr., 1984, Computational Methods of Neutron Transport, John Wiley and Sons, New York.

70.

Li, B., Kudo, K., and Kuroda, A., 1996, “Study on Radiative Heat Transfer through Fibrous Layer,” Proc. Third KSME-JSME Thermal Eng. Conf., Vol. 111, KyongJu, Korea, Oct., pp. 279–284.

71.

Liu

J.

, and

Tiwari

S. N.

,

1994

, “

Investigation of Radiative Transfer in Non-gray Gases Using a Narrow Band Model and Monte Carlo Simulation

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

116

, pp.

160

166

.

72.

Lockwood, F. C., and Shah, N. G., 1981, “A New Radiation Solution Method for Incorporation in General Combustion Prediction Procedures,” Eighteenth Symposium (International) on Combustion, The Combustion Inst., Pittsburgh, PA, pp. 1405–1414.

73.

Malalasekera, W. M. G., and James, E. H., 1995, “Calculation of Radiative Heat Transfer in Three-Dimensional Complex Geometries,” Proc. 1995 Natl. Heat Transfer Conf., Vol. 13, Y. Bayazitoglu, D. Kaminski, and P. D. Jones, eds., ASME, New York, pp. 53–61.

74.

Maltby

J. D.

, and

Burns

P. J.

,

1991

, “

Performance, Accuracy, and Convergence in a Three-Dimensional Monte Carlo Radiative Heat Transfer Simulation

,”

Numer. Heat Transfer, Part B

, Vol.

19

, pp.

191

209

.

75.

Maltby, J. D., 1994, “Evaluation of Property-Induced Uncertainty in a Monte Carlo Simulation of Radiative Heat Transfer in a Participating Medium,” Radiative Heat Transfer: Current Research, Y. Bayazitoglu et al., eds. pp. 161–170.

76.

Martin

W. R.

, and

Pomraning

G. C.

,

1990

, “

Monte Carlo Analysis of the Backscattering of Radiation from a Sphere to a Plane

,”

J. Quant. Spectrosc. Radiat. Transfer

, Vol.

43

, No.

2

, pp.

115

126

.

77.

McHugh, J., Burns, P. J., Hittle, D., and Miller, B., 1992, “Daylighting Design via Monte Carlo,” Developments in Radiative Heat Transfer, S. T. Thynell et al, eds. ASME, New York, pp. 129–136.

78.

Metropolis

Nicholas

, and

Ulam

S.

,

1949

, “

The Monte Carlo Method

,”

J. Am. Statistical Assoc.

, Vol.

44

, No.

247

, pp.

335

341

.

79.

Mishkin, M., and Kowalski, G. J., 1983, “Application of Monte Carlo Techniques to the Steady-State Radiative and Conductive Heat Transfer Problem Through a Participating Medium,” ASME Paper 83-WA/HT-27.

80.

Mochida, A., Kudo, K., Mizutani, Y., Hattori, M., and Nakamura, Y., 1995, “Transient Heat Transfer Analysis in Vacuum Furnace by Radiant Tube Burners,” Proc. RAN 95: Int. Symp. on Adv. Energy Conversion Systems, Soc. Chemical Engineers—Japan, Nagoya, Dec.

81.

Modest

M. F.

,

1978

, “

Three-Dimensional Radiative Exchange Factors for Nongray, Nondiffuse Surfaces

,”

Num. Heat Transfer

, Vol.

1

, pp.

403

416

.

82.

Modest

M. F.

,

1992

, “

The Monte Carlo Method Applied to Gases with Spectral Line Structure

,”

Num. Heat Transfer

, Part B, Vol.

22

, pp.

273

284

.

83.

Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.

84.

Montagnino

L.

,

1968

, “

Ray Tracing in Inhom*ogeneous Media

,”

J. Opt. Soc. Am.

, Vol.

59

, pp.

1667

1668

.

85.

Maruyama, S., and Aihara, T., 1996, “Radiative Heat Transfer of Arbitrary 3-D Participating Media and Surfaces with Non-Participating Media by a Generalized Numerical Method REM2,” Radiative Transfer I—Proc. First Int. Symp. Radiation Transfer, M. Pinar Menguc, ed., Begell House, New York, pp. 153–167.

86.

Naraghi

M. H. N.

, and

Chung

B. T. F.

,

1984

, “

A Stochastic Approach for Radiative Exchange in Enclosures with Nonparticipating Medium

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

106

, pp.

690

698

.

87.

Naraghi

M. H. N.

, and

Chung

B. T. F.

,

1985

, “

A Unified Matrix Formulation for the Zone Method: A Stochastic Approach

,”

Int. J. Heat Mass Transfer

, Vol.

28

, No.

1

, pp.

245

251

.

88.

Naraghi

M. H. N.

, and

Chung

B. T. F.

,

1986

, “

A Stochastic Approach for Radiative Exchange in Enclosures with Directional-Bidirectional Properties

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

108

, pp.

264

270

.

89.

Oguma, Masahito, and Howell, John R., 1995, “Solution of Two-Dimensional Blackbody Inverse Radiation by an Inverse Monte Carlo Method,” Proc. 4th ASME/JSME Joint Symposium, Maui, Mar.

90.

Oguma, Masahito, Mizuno, Masayuki, and Howell, John R., 1998, “Solutions of Variable Geometry Inverse Radiation Problems by An Inverse Monte Carlo Method (Variable Geometry Problems for Flat-Plates Enclosures),” Proceedings of the 1998 Int. Heat Trans. Conf., Seoul, Aug.

91.

Omori

T.

,

Taniguchi

H.

, and

Kudo

K.

,

1990

, “

Monte Carlo Simulation of Indoor Radiant Environment

,”

Int. J. Num. Meths. In Engineering

, Vol.

30

, No.

4

, pp.

615

627

.

92.

Omori, T., Nagata, T., Taniguchi, H., and Kudo, K., 1991, “Three-Dimensional Heat Transfer Analysis of a Steel Heating Furnace,” Proc. Seventh Int. Conf. on Numerical Meths. in Thermal Problems, R. L. Lewis, J. H. Chin, and G. M. Homsy, eds., Vol. VII, Pt. 2, Pineridge Press, Swansea, pp. 1346–1356.

93.

Palmer

Bruce J.

,

Drost

M. Kevin

, and

Welty

James R.

,

1996

, “

Monte Carlo Simulation of Radiative Heat Transfer in Arrays of Fixed Discrete Surfaces Using Cell-to-Cell Photon Transport

,”

Int. J. Heat Mass Transfer

, Vol.

39

, No.

13

, pp.

2811

2819

.

94.

Parthasarathy, G., Patankar, S. V., Chai, J. C., and Lee, H. S., 1994, “Monte Carlo Solutions for Radiative Heat Transfer in Irregular Two-Dimensional Geometries,” Radiative Heat Transfer: Current Research, Y. Bayazitoglu et al., eds. ASME, New York, pp. 191–201.

95.

Perlmutter

Morris

, and

Howell

John R.

,

1964

, “

Radiant Transfer Through a Gray Gas Between Concentric Cylinders Using Monte Carlo

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

86

, pp.

169

179

.

96.

Polgar, L. G., and Howell, John R., 1966a, “Directional Thermal-Radiative Properties of Conical Cavities,” Progress in Astronautics and Aeronautics, Vol. 18, Academic Press, San Diego, pp. 311–323.

97.

Polgar, L. G., and Howell, John R., 1966b, “Directional Thermal-Radiative Properties of Conical Cavities,” NASA TN D-1929.

98.

Shamsundar

N.

,

Sparrow

E. M.

, and

Heinisch

R. P.

,

1973

, “

Monte Carlo Solutions-Effect of Energy Partitioning and Number of Rays

,”

Int. J. Heat Mass Transfer

, Vol.

16

, No.

3

, pp.

690

694

.

99.

Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd Ed., Taylor and Francis, Washington, DC.

100.

Singh

B. P.

, and

Kaviany

M.

,

1991

, “

Independent Theory versus Direct Simulation of Radiative Heat Transfer in Packed Beds

,”

Int. J. Heat Mass Transfer

, Vol.

34

, No.

11

, pp.

2869

2881

.

101.

Singh

B. P.

, and

Kaviany

M.

,

1992

, “

Modeling Radiative Heat Transfer in Packed Beds

,”

Int. J. Heat Mass Transfer

, Vol.

35

, No.

6

, pp.

1397

1405

.

102.

Singh

B. P.

, and

Kaviany

M.

,

1994

, “

Effect of Solid Conductivity on Radiative Heat Transfer in Packed Beds

,”

Int. J. Heat Mass Transfer

, Vol.

37

, No.

16

, pp.

2579

2583

.

103.

Sivathanu

Y. R.

, and

Gore

J. P.

,

1993

, “

A Discrete Probability Function Method for the Equation of Radiative Transfer

,”

J. Quant. Spectrosc. Radiat. Transfer

, Vol.

49

, No.

3

, pp.

269

280

.

104.

Sivathanu, Y. R., and Gore, J. P., 1994, “A Discrete Probability Function Method for Radiation in Enclosures and Comparison with the Monte Carlo Method,” Radiative Heat Transfer: Current Research, Y. Bayazitoglu et al., eds., ASME, New York, pp. 213–218.

105.

Sivathanu, Y. R., and Gore, J. P., 1996, “Radiative Heat Transfer Inside a Cylindrical Enclosure with Nonparticipating Media Using a Deterministic Statistical Method,” Proc. ASME Heat Transfer Div., Vol. 1, P. D. Jones, eds., ASME, New York, pp. 145–152.

106.

Sowell

E. F.

, and

O’Brien

P. F.

,

1972

, “

Efficient Computation of Radiant-Interchange Factors within an Enclosure

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

49

, pp.

326

328

.

107.

Steward

F. R.

, and

Cannon

P.

,

1971

, “

The Calculation of Radiative Heat Flux in a Cylindrical Furnace Using the Monte Carlo Method

,”

Int. J. Heat Mass Transfer

, Vol.

14

, No.

2

, pp.

245

262

.

108.

Steward

F. R.

, and

Guruz

K. H.

,

1975

, “

Radiative Heat Transfer in Absorbing, Emitting and Scattering Media Using the Monte Carlo Method

,”

Trans. Canadian Soc. Mech Engng.

, Vol.

3

, No.

1

, pp.

10

16

.

109.

Subramaniam

S.

, and

Mengu¨c¸

M. P.

,

1991

, “

Solution of the Inverse Radiation Problem for Inhom*ogeneous and Anisotropically Scattering Media Using a Monte Carlo Technique

,”

Int. J. Heat Mass Transfer

, Vol.

34

, No.

1

, pp.

253

266

.

110.

Sumarsono, M., Taniguchi, H., Kudo, K., Kuroda, A., Ohtaka, M., Li, B., 1993, “Radiation Heat Transfer Analysis on High Temperature Free Jet of Nongray Gas,” Proc. 3rd Int. Symp., Short Courses and Exhibition on Rotating Machinery, Bandung, pp. 53–62.

111.

Surzhikov

Sergey

, and

Howell

John R.

,

1998

, “

Mathematical Simulation of the Emittance of Light-Scattering Volumes with Regard to Line Structure

,”

AIAA J. Thermophysics Heat Trans

, Vol.

12

, No.

2

, pp.

278

281

.

112.

Tamura, M., Nakamura, Y., Mochida, A., and Kudo, K., 1995, “Heat Transfer Analysis in a Radiant Tube Burner,” Proc. Int. Symp. on Adv. Energy Conv. System and Related Technologies: RAN95, Japan Soc. Chem. Engineers, pp. 1175–1180.

113.

Taniguchi

H.

,

1967

, “

Temperature Distributions of Radiant Gas Calculated by Monte Carlo Method

,”

Bull. JSME

, Vol.

10

, No.

42

, pp.

975

988

.

114.

Taniguchi

H.

,

1969

, “

The Radiative Heat Transfer of Gas in a Three Dimensional System Calculated by Monte Carlo Method

,”

Bull. JSME

, Vol.

12

, No.

49

, pp.

67

78

.

115.

Taniguchi

H.

, and

Funazu

M.

,

1970

, “

The Numerical Analysis of Temperature Distributions in a Three Dimensional Furnace

,”

Bull. JSME

, Vol.

13

, No.

66

, pp.

1458

1468

.

1.

Taniguchi

H.

,

Sugiyama

K.-I.

, and

Taniguchi

K.

,

1974

, “

The Numerical Analysis of Temperature Distribution in a Three Dimensional Furnace (2nd Report: The Comparison with Experimental Results)

,”

Heat Transfer-Japanese Research

, Vol.

3

, No.

4

, pp.

41

54

2.

(originally published

1973

,

Trans. JSME

, Vol.

39

, pp.

324

347

.)

1.

Taniguchi

H.

,

Kudo

K.

,

Otaka

M.

,

Sumarsono

M.

, and

Obata

M.

,

1992

a, “

Development of a Monte Carlo Method for Numerical Analysis on Radiative Energy Transfer through Non-Grey-Gas Layer

,”

Int. J. Num. Meths. Engineering

, Vol.

35

, pp.

883

891

.

2.

Taniguchi, H., Kudo, K., Kuroda, A., Ohtaka, M., Mochida, A., Komatsu, T., Kosaka, S., and Fujisaki, M., 1992b, “Monte Carlo Simulation of Non-Gray Radiation Heat Transfer on Highly Parallel Computer AP1000,” Proc. 3rd Int. Symp. On Heat Transfer, Beijing, Oct.

3.

Taniguchi, H., Kudo, K., Kuroda, A., Kaneda, H., f*ckuchi, T., and Song, K. K., 1993, “Effects of Several Parameters on Heat Transfer in Circulating Fluidized Bed Boiler,” Proc. 6th Int. Symp. on Transport Phenomena in Thermal Engineering, J. S. Lee, S. H. Chung, and K. H. Kim, eds., Vol. IV, KSME, Seoul, p. 54.

4.

Taniguchi, H., and Mochida, A., 1994, “Radiative Heat Transfer in the Mixture of Gas and Particle with Anisotropic Scattering Effect,” Proc. Pacific Rim Conf. on Environmental Control of Combustion Processes, pp. 13–31.

5.

Taylor

Robert P.

,

Luck

Rogelio

,

Hodge

B. K.

, and

Steele

W. Glenn

,

1995

, “

Uncertainty Analysis of Diffuse-Gray Radiation Enclosure Problems

,”

J. Thermophys. Heat Trans.

, Vol.

9

, No.

I

, pp.

63

69

.

6.

Tong, W. T., and Skocypec, R. D., 1992, “Summary on Comparison of Radiative Heat Transfer Solutions for a Specified Problem,” Developments in Radiative Heat Transfer, S. T. Thynell et al., eds., ASME, New York, pp. 253–258.

7.

Toor

J. S.

, and

Viskanta

R.

,

1968

, “

A Numerical Experiment of Radiant Heat Interchange by the Monte Carlo Method

,”

Int. J. Heat Mass Transfer

, Vol.

11

, No.

5

, pp.

883

897

.

8.

van Leersum

J.

,

1989

, “

A Method for Determining a Consistent Set of Radiation View Factors from a Set Generated by a Nonexact Method

,”

Int. J. Heat Fluid Flow

, Vol.

10

, No.

1

, p.

83

83

.

9.

Vercammen

H. A. J.

, and

Froment

G. F.

,

1980

, “

An Improved Zone Method Using Monte Carlo Techniques for the Simulation of Radiation in Industrial Furnaces

,”

Int. J. Heat Mass Transfer

, Vol.

23

, No.

2

, pp.

329

337

.

10.

Villeneuve, P. V., Chapman, D. D., and Mahan, J. R., 1994,” Use of the Monte-Carlo Ray-Trace Method as a Design Tool for Jet Engine Visibility Suppression,” Radiative Heat Transfer: Current Research, Y. Bayazitoglu et al., eds. ASME, New York, pp. 59–71.

11.

Vossbrecker

H.

,

1970

, “

On the Calculation of Heat Transfer by Radiation using the Monte Carlo Method

,”

Wa¨rme- and Stoffu¨bertragung

, Vol.

3

, pp.

146

152

(in German).

12.

Wu, W. J., and Mulhollaud, G. P., 1989, “Two-Dimensional Inverse Radiation Heat Transfer Analysis Using Monte Carlo Techniques,” Developments in Radiative Heat Transfer, S. T. Thynell et al., eds. ASME, New York, pp. 181–190.

13.

Walters

D. V.

, and

Buckius

R. O.

,

1992

, “

Rigorous Development for Radiation Heat Transfer in Nonhom*ogeneous Absorbing, Emitting and Scattering Media

,”

Int. J. Heat Mass Transfer

, Vol.

35

, No.

12

, pp.

3323

3333

.

14.

Walters, D. V., and Buckius, R. O., 1994, “Monte Carlo Methods for Radiative Heat Transfer in Scattering Media,” Annual Review of Heat Transfer, Chang-Lin Tien, ed., CRC Press, Boca Raton, pp. 131–176.

15.

Weiner, M. M., Tindall, J. W., and Candell, L. M., 1965, “Radiative Interchange Factors by Monte Carlo,” ASME Paper 65-WA/HT-51.

16.

Yang, W.-J., Taniguchi, H., and Kudo, K., 1995, “Radiative Heat Transfer by the Monte Carlo Method,” Advances in Heat Transfer, Vol. 27, J. P. Hartnett and T. F. Irvine, eds., Academic Press, San Diego, pp. 1–215.

17.

Yang, Y. Sam, 1981, “Heat Transfer through a Randomly Packed Bed of Spheres,” Ph.D. dissertation, Department of Mechanical Engineering, The University of Texas-Austin, Austin, TX.

18.

Yang

Y. Sam

,

Klein

Dale E.

, and

Howell

John R.

,

1983

, “

Radiative Heat Transfer through a Randomly Packed Bed of Spheres by the Monte Carlo Method

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

105

, pp.

325

332

.

19.

Yarbrough, David W., and Lee, Chon-Lin, 1986, “Monte Carlo Calculation of Radiation View Factors,” Integral Methods in Science and Engineering, Fred R. Payne, C. C. Corduneanu, A. Haji-Sheikh, and T. Huang, eds., Hemisphere, Washington, DC, pp. 563–574.

20.

Yuen, W. W., Ma, A. K., and Takara, E. E., 1992, “Evaluation of Radiative Heat Transfer using the Generalized Zonal Method and the Absorption Mean Beam Length Concept,” Developments in Radiative Heat Transfer, S. T. Thynell et al., eds. ASME, New York, pp. 265–273.

21.

Zaworski

J.

,

Welty

J. R.

,

Palmer

B. J.

, and

Drost

M. K.

,

1996

, “

Comparison of Experiment with Monte Carlo Simulations on a Reflective Gap Using a Detailed Surface Properties Model

,”

ASME JOURNAL OF HEAT TRANSFER

, Vol.

118

, pp.

388

393

.

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