Distributions of ratios of energy scattered or reflected (DRESOR) method is a very efficient tool used to calculate radiative intensity with high directional resolution, which is very useful for inverse analysis. The method is based on the Monte Carlo (MC) method and it can solve radiative problems of great complexity. Unfortunately, it suffers from the drawbacks of the Monte Carlo method, which are large computation time and unavoidable statistical errors. In this work, an equation solving method is applied to calculate DRESOR values instead of using the Monte Carlo sampling in the DRESOR method. The equation solving method obtains very accurate results in much shorter computation time than when using the Monte Carlo method. Radiative intensity with high directional resolution calculated by these two kinds of DRESOR method is compared with that of the reverse Monte Carlo (RMC) method. The equation solving DRESOR (ES-DRESOR) method has better accuracy and much better time efficiency than the Monte Carlo based DRESOR (original DRESOR) method. The ES-DRESOR method shows a distinct advantage for calculating radiative intensity with high directional resolution compared with the reverse Monte Carlo method and the discrete ordinates method (DOM). Heat flux comparisons are also given and the ES-DRESOR method shows very good accuracy.
Issue Section:
Radiative Heat Transfer
References
1.
Zhou
, H.-C.
, Lou
, C.
, Cheng
, Q.
, Jiang
, Z.
, He
, J.
, Huang
, B.
, Pei
, Z.
, and Lu
, C.
, 2005
, “Experimental Investigations on Visualization of Three-Dimensional Temperature Distributions in a Large-Scale Pulverized-Coal-Fired Boiler Furnace
,” Proc. Combust. Inst.
, 30
(1
), pp. 1699
–1706
.10.1016/j.proci.2004.08.0902.
Liu
, D.
, Wang
, F.
, Yan
, J. H.
, Huang
, Q. X.
, Chi
, Y.
, and Cen
, K. F.
, 2008
, “Inverse Radiation Problem of Temperature Field in Three-Dimensional Rectangular Enclosure Containing Inhomogeneous, Anisotropically Scattering Media
,” Int. J. Heat Mass Transfer
, 51
(13–14
), pp. 3434
–3441
.10.1016/j.ijheatmasstransfer.2007.11.0073.
Hottel
, H. C.
, and Cohen
, E. S.
, 1958
, “Radiant Heat Exchange in a Gas-Filled Enclosure: Allowance for Nonuniformity of Gas Temperature
,” AIChE J.
, 4
(1
), pp. 3
–14
.10.1002/aic.6900401034.
Maruyama
, S.
, and Aihara
, T.
, 1997
, “Radiation Heat Transfer of Arbitrary Three-Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces
,” ASME J. Heat Transfer
, 119
(1
), pp. 129
–136
.10.1115/1.28240775.
Guo
, Z.
, and Maruyama
, S.
, 2000
, “Radiative Heat Transfer in Inhomogeneous, Nongray, and Anisotropically Scattering Media
,” Int. J. Heat Mass Transfer
, 43
(13
), pp. 2325
–2336
.10.1016/S0017-9310(99)00309-96.
Maruyama
, S.
, Takeuchi
, Y.
, Sakai
, S.
, and Guo
, Z.
, 2002
, “Improvement of Computational Time in Radiative Heat Transfer of Three-Dimensional Participating Media Using the Radiation Element Method
,” J. Quant. Spectrosc. Radiat. Transfer
, 73
(2–5
), pp. 239
–248
.10.1016/S0022-4073(01)00213-87.
Farmer
, J. T.
, and Howell
, J. R.
, 1994
, “Monte Carlo Prediction of Radiative Heat Transfer in Inhomogeneous, Anisotropic, Nongray Media
,” J. Thermophys. Heat Transfer
, 8
(1
), pp. 133
–139
.10.2514/3.5118.
Howell
, J. R.
, and Tan
, Z.
, 1990
, “New Numerical Method for Radiation Heat Transfer in Nonhomogeneous Participating Media
,” J. Thermophys. Heat Transfer
, 4
(4
), pp. 419
–424
.10.2514/3.2039.
Hsu
, P.-F.
, Tan
, Z.
, and Howell
, J. R.
, 1993
, “Radiative Transfer by the YIX Method in Nonhomogeneous, Scattering, and Nongray Media
,” J. Thermophys. Heat Transfer
, 7
(3
), pp. 487
–495
.10.2514/3.44410.
Mengüç
, M. P.
, and Viskanta
, R.
, 1985
, “Radiative Transfer in Three-Dimensional Rectangular Enclosures Containing Inhomogeneous, Anisotropically Scattering Media
,” J. Quant. Spectrosc. Radiat. Transfer
, 33
(6
), pp. 533
–549
.10.1016/0022-4073(85)90021-411.
Truelove
, J. S.
, 1988
, “Three-Dimensional Radiation in Absorbing-Emitting-Scattering Media Using the Discrete-Ordinates Approximation
,” J. Quant. Spectrosc. Radiat. Transfer
, 39
(1
), pp. 27
–31
.10.1016/0022-4073(88)90016-712.
Fiveland
, W. A.
, 1988
, “Three-Dimensional Radiative Heat-Transfer Solutions by the Discrete-Ordinates Method
,” J. Thermophys. Heat Transfer
, 2
, pp. 309
–316
.10.2514/3.10513.
Chai
, J. C.
, Lee
, H. S.
, and Patankar
, S. V.
, 1994
, “Finite Volume Method for Radiation Heat Transfer
,” J. Thermophys. Heat Transfer
, 8
(3
), pp. 419
–425
.10.2514/3.55914.
Li
, H.-S.
, Flamant
, G.
, and Lu
, J.-D.
, 2003
, “An Alternative Discrete Ordinate Scheme for Collimated Irradiation Problems
,” Int. Commun. Heat Mass Transfer
, 30
(1
), pp. 61
–70
.10.1016/S0735-1933(03)00008-315.
Li
, H.-S.
, Zhou
, H.-C.
, Lu
, J.-D.
, and Zheng
, C.-G.
, 2003
, “Computation of 2-D Pinhole Image-Formation Process of Large-Scale Furnaces Using the Discrete Ordinates Method
,” J. Quant. Spectrosc. Radiat. Transfer
, 78
(3–4
), pp. 437
–453
.10.1016/S0022-4073(02)00279-016.
Zhou
, H.-C.
, and Cheng
, Q.
, 2004
, “The DRESOR Method for the Solution of the Radiative Transfer Equation in Gray Plane-Parallel Media
,” Fourth International Symposium on Radiative Transfer
, M. P.
Mengüç
, and N.
Selçuk
, eds., Istanbul
, Turkey
.17.
Zhou
, H.-C.
, Cheng
, Q.
, Huang
, Z.-F.
, and He
, C.
, 2007
, “The Influence of Anisotropic Scattering on the Radiative Intensity in a Gray, Plane-Parallel Medium Calculated by the DRESOR Method
,” J. Quant. Spectros. Radiat. Transfer
, 104
(1
), pp. 99
–115
.10.1016/j.jqsrt.2006.08.01518.
Cheng
, Q.
, and Zhou
, H.-C.
, 2007
, “The DRESOR Method for a Collimated Irradiation on an Isotropically Scattering Layer
,” ASME J. Heat Transfer
, 129
(5
), pp. 634
–645
.10.1115/1.271247719.
Cheng
, Q.
, Zhou
, H.-C.
, Huang
, Z.-F.
, Yu
, Y.-L.
, and Huang
, D.-X.
, 2008
, “The Solution of Transient Radiative Transfer With Collimated Incident Serial Pulse in a Plane-Parallel Medium by DRESOR Method
,” ASME J. Heat Transfer
, 130
(10
), p. 102701
.10.1115/1.294590620.
Huang
, Z.
, Cheng
, Q.
, Zhou
, H.
, and Hsu
, P.-F.
, 2009
, “Existence of Dual-Peak Temporal Reflectance From a Light Pulse Irradiated Two-Layer Medium
,” Numer. Heat Transfer, Part A
, 56
(4
), pp. 342
–359
.10.1080/1040778090324430421.
Cheng
, Q.
, Zhou
, H.-C.
, Yu
, Y.-L.
, and Huang
, D.-X.
, 2008
, “Highly-Directional Radiative Intensity in a 2-D Rectangular Enclosure Calculated by the DRESOR Method
,” Numer. Heat Transfer: Part B
, 54
(4
), pp. 354
–367
.10.1080/1040779080235882422.
Huang
, Z.
, Zhou
, H.
, Cheng
, Q.
, and Hsu
, P.-F.
, 2013
, “Solution of Radiative Intensity With High Directional Resolution in Three-Dimensional Rectangular Enclosures by DRESOR Method
,” Int. J. Heat Mass Transfer
, 60
, pp. 81
–87
.10.1016/j.ijheatmasstransfer.2012.12.05623.
Wang
, G.
, Zhou
, H.
, Cheng
, Q.
, Wang
, Z.
, and Huang
, Z.
, 2012
, “Equation-Solving DRESOR Method for Radiative Transfer in a Plane-Parallel, Absorbing, Emitting, and Isotropically Scattering Medium With Transparent Boundaries
,” Int. J. Heat Mass Transfer
, 55
(13–14
), pp. 3454
–3457
.10.1016/j.ijheatmasstransfer.2012.03.02924.
Modest
, M. F.
, 2003
, Radiative Heat Transfer
, Academic Press
, San Diego, CA
.25.
Lu
, X.
, and Hsu
, P. F.
, “Parallel Computing of an Integral Formulation of Transient Radiation Transport
,” J. Thermophys. Heat Transfer
, 17
(4
), pp. 425
–433
.10.2514/2.6794Copyright © 2014 by ASME
You do not currently have access to this content.
