The monte carlo method in radiative heat transfer

Journal of Heat Transfer

Volumn 120, Issue 3, 1998, Pages 547-560

  Howell, J R ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Computational; Emitting; Heat transfer; Radiation; View factors

Indexed keywords

SURFACE-SURFACE INTERCHANGE;

HEAT TRANSFER; SYSTEM ANALYSIS;

MONTE CARLO METHODS; PARALLEL ALGORITHMS; SURFACE ROUGHNESS;

HEAT RADIATION;

HEAT TRANSFER; MONTE CARLO SIMULATION;

EID: 0032147759     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2824310     Document Type: Article

References (137)

1. Abbasi, M. H., and Evans, J. W., 1982, “Monte Carlo Simulation of Radiant Transport Through an Adiabatic Packed Bed or Porous Solid,” AlChE 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., Jr., 1996, “A Backward Monte Carlo Estimator for the Multiple Scattering of a Narrow Light Beam,” J. Quant. Spectrosc. Radiai. 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., 1991a, “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, 1991b, “Markov Analysis of Radiative Heat Transfer in Specular Enclosures,” ASME Journal of Hf-at Transfer, Vol. 113, pp. 429-436.
11. Blechschmidt, D., 1974, “Monte Carlo Study of Light Transmission Through a Cylindrical Tube,” J. Vac. Set 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. 97124.
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,” AlChE 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., àerman, 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 Mengtiç, ed., Begell House, New York, pp. 610-619.
21. Dunn, W. L., 1983, “Inverse Monte Carlo Solutions for Radiative Transfer in Inhomogeneous 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. I, 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, Inhomogeneous Medium,” Developments in Radiative Heat Transfer, S. T. Thynell et ill., eds., ASME, New York, pp. 301-309.
28. Farmer, J. T., and Howell, J. R., 1994a, “Monte Carlo Prediction of Radiative Heat Transfer in Inhomogeneous, 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 NonGray 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. França, 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 Menguç, ed., Begell House, New York.
35. França, 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 Teploob-men, 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,” Jnt. 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, Nonhomogeneous Participating Media,” Solution Methods for Radiative Transfer in Participating Media, R. D. Skocypek, S. T. Thy nell, 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. Radial. Transfer, Vol. 9, pp. 1579-1591.
43. Howell, John R., and Perlmutter, Morris, 1964a, “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, 1964b, “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 Mengüij, 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 Nonhomogeneous Participating Media using the Monte Carlo and YIX Methods,” Proc. 1995 Natl. Heat Transfer Confi, 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 Nonhomogeneous Participating Media and the Improved YIX Method,” Radiative Transfer I-Proc. First Int. Symp. Radiation Transfer, M. Pinar Men-gu$, 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 1: 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. III, 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. III, 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. Confi 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. Confi 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 Confi, J. Lloyd and Y. Kurosoki, eds., ASME, New York, pp. 35-42.
64. Kudo, K., Taniguchi, H., Kuroda, A., Oath M., and Dakota, H., 1993a, “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 Fukuchi, T., 1993b, “Analysis of Radiative Characteristics of Heat-Generating Particles Dispersed in Non-Gray Combustion-Gas Slab,” Proc. JSME-ASME Inti. 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. III, KyongJu, Korea, Oct., pp. 279-284.
71. Liu, J., and Tiwari, S. N., 1994, “Investigation of Radiative Transfer in Nongray 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. OnAdv. 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 Inhomogeneous Media,” J. Opt. Soc. Am., Vol. 59, pp. 1667-1668.
85. 2,” Radiative Transfer I-Proc. First Int. Symp. Radiation Transfer, M. Pinar Mengu?, 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 RadiantInterchange 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 Mengüij, M. P., 1991, “Solution of the Inverse Radiation Problem for Inhomogeneous 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.
116. 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 (originally published 1973, Trans. JSME, Vol. 39, pp. 324-347.)
117. Taniguchi, H., Kudo, K., Otaka, M., Sumarsono, M. and Obata, M., 1992a, “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.
118. 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.
119. Taniguchi, H., Kudo, K., Kuroda, A., Kaneda, H., Fukuchi, 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.
120. 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.
121. Taylor, Robert P., Luck, Rogelio, Hodge, B. K., and Steele, W. Glenn, 1995, “Uncertainty Analysis of Diffuse-Gray Radiation Enclosure Problems,” J. Ther-mophys. Heat Trans., Vol. 9, No. 1, pp. 63-69.
122. 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.
123. 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.
124. 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.
125. 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.
126. Villeneuve, P. V., Chapman, D. D., and Mahan, J. R., 1994, “Use of the MonteCarlo 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.
127. Vossbrecker, H., 1970, “On the Calculation of Heat Transfer by Radiation using the Monte Carlo Method,” Wärme-and Stoffübertragung, Vol. 3, pp. 146-152 (in German).
128. Wu, W. J., and MulhoIIand, 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.
129. Walters, D. V., and Buckius, R. O., 1992, “Rigorous Development for Radiation Heat Transfer in Nonhomogeneous Absorbing, Emitting and Scattering Media,” Int. J. Heat Mass Transfer, Vol. 35, No. 12, pp. 3323-3333.
130. 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.
131. Weiner, M. M., Tindall, J. W., and Candell, L. M., 1965, “Radiative Interchange Factors by Monte Carlo,” ASME Paper 65-WA/HT-51.
132. 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.
133. 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.
134. 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.
135. 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.
136. 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.
137. 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.