Conservation of asymmetry factor in phase function discretization for radiative transfer analysis in anisotropic scattering media

International Journal of Heat and Mass Transfer

Volumn 55, Issue 5-6, 2012, Pages 1544-1552

  Hunter, Brian ^a   Guo, Zhixiong ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Anisotropic scattering; Discrete ordinates method; Henyey Greenstein phase function; Normalization; Phase function discretization

Indexed keywords

ANISOTROPIC SCATTERING; DISCRETE-ORDINATES METHOD; HENYEY-GREENSTEIN PHASE FUNCTION; NORMALIZATION; PHASE FUNCTIONS;

ANISOTROPY; HEAT FLUX; SCATTERING;

ANISOTROPIC MEDIA;

EID: 84355166447     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2011.11.009     Document Type: Article

References (37)

1. M.F. Modest Radiative Heat Transfer second ed. 2003 Academic Press New York pp. 263-284, 498-530
2. C.P. Grigoropoulos Heat transfer in laser processing of thin films Ann. Rev. Heat Transfer 5 1994 77 130
3. G. Chen Nanoscale Energy Transfer and Conversion 2005 Oxford University Press Oxford
4. Z.M. Zhang Nano/Microscale Heat Transfer 2007 McGraw-Hill New York
5. V.P. Solovjov, and B.W. Webb An efficient method for modeling radiative transfer in multicomponent gas mixtures with soot J. Heat Transfer 123 2001 450 457 (Pubitemid 32704507)
6. Z. Guo, and S. Maruyama Radiative heat transfer in nonhomogeneous, nongray, and anisotropic scattering media Int. J. Heat Mass Transfer 43 2000 2325 2336 (Pubitemid 30247662)
7. B.G. Carlson, and K.D. Lathrop Transport theory the method of discrete-ordinates H. Greenspan, C.N. Kelber, D. Okrent, Computing Methods in Reactor Physics 1968 Gorden and Breach New York
8. W.A. Fiveland Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures J. Heat Transfer 106 1984 699 706 (Pubitemid 15546983)
9. W.A. Fiveland Discrete-ordinates methods for radiative heat transfer in isotropically and anisotropically scattering media J. Heat Transfer 109 1987 809 812 (Pubitemid 17634176)
10. J.S. Truelove Three-dimensional radiation in absorbing-emitting- scattering media using the discrete ordinates approximation J. Quant. Spectrosc. Radiat. Transfer 39 1988 27 31
11. M.P. Menguc, and R. Viskanta Radiative transfer in axisymmetric finite cylindrical enclosures J. Heat Transfer 108 1986 271 276 (Pubitemid 16553953)
12. A.S. Jamaluddin, and P.J. Smith Predicting radiative transfer in axisymmetric cylindrical enclosures using the discrete ordinates method Combust. Sci. Tech. 62 1988 173 186
13. S. Jendoubi, H.S. Lee, and T.K. Kim Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure J. Thermophys Heat Transfer 7 1993 213 219 (Pubitemid 23635434)
14. J.C. Chai, H.S. Lee, and S.V. Patankar Ray effect and false scattering in the discrete ordinates method Numer. Heat Transfer B 24 1993 373 389
15. Z.F. Huang, H.C. Zhou, and P.-f. Hsu Improved discrete ordinates method for ray effects mitigation J. Heat Transfer 133 2011 044502
16. K.H. Kim, and Z. Guo Ultrafast radiation heat transfer in laser tissue welding and soldering Numer. Heat Transfer A 46 2004 23 40
17. M. Jaunich, S. Raje, K.H. Kim, K. Mitra, and Z. Guo Bio-heat transfer analysis during short pulse laser irradiation of tissues Int. J. Heat Mass Transfer 51 2008 5511 5521
18. Y. Yamada Light-tissue interaction and optical imaging in biomedicine Ann. Rev. Heat Transfer 6 1995 1 59
19. H. Quan, and Z. Guo Fast 3-D optical imaging with transient fluorescence signals Opt. Express 12 2004 449 457
20. V.V. Tuchin Light scattering study of tissues Phys-Usp 40 5 1997 495 515 (Pubitemid 127123266)
21. Z. Guo, and S. Kumar Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media Appl. Optics 40 2001 3156 3163
22. Z. Guo, and S. Kumar Three-dimensional discrete ordinates method in transient radiative transfer J. Thermophys Heat Transfer 16 2002 289 296 (Pubitemid 34924265)
23. S.C. Mishra, H.K. Roy, and N. Misra Discrete ordinate method with a new and a simple quadrature scheme J. Quant. Spectrosc. Radiat. Transfer 101 2006 249 262 (Pubitemid 43733312)
24. S.C. Mishra, and C.H. Krishna Analysis of radiative transport in a cylindrical enclosure - an application of the modified discrete ordinate method J. Quant. Spectrosc. Radiat. Transfer 112 2011 1065 1081
25. T.K. Kim, and H. Lee Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures Int. J. Heat Mass Transfer 31 1988 1711 1721
26. L.H. Liu, L.M. Ruan, and H.P. Tan On the discrete ordinates method for radiative heat transfer in anisotropically scattering media Int. J. Heat Mass Transfer 45 2002 3259 3262 (Pubitemid 34707084)
27. P. Boulet, A. Collin, and J.L. Consalvi On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media J. Quant. Spectrosc. Radiat. Transfer 104 2007 460 473 (Pubitemid 46131828)
28. W.J. Wiscombe On initialization, error and flux conservation in the doubling method J. Quant. Spectrosc. Radiat. Transfer 16 1976 637 658
29. B. Hunter, and Z. Guo Comparison of discrete-ordinates method and finite volume method for steady-state and ultrafast radiative transfer analysis in cylindrical coordinates Numer. Heat Transfer B 59 2011 339 359
30. E.H. Chui, and G.D. Raithby Prediction of radiative transfer in cylindrical enclosures with the finite volume method J. Thermophys Heat Transfer 6 1992 605 611 (Pubitemid 23557422)
31. L. Vandenberghe, The QR Factorization, Class Lecture - Applied Numerical Computing EE103, UCLA (2011). http://www.ee.ucla.edu/~vandenbe/103/lectures/qr. pdf, (accessed March 2011).
32. J.C. Chai, H.S. Lee, and S.V. Patankar Finite volume method for radiation heat transfer J. Thermophys Heat Transfer 8 1994 419 425 (Pubitemid 282127)
33. Z. Guo, and S. Maruyama Scaling anisotropic scattering in radiative transfer in three-dimensional nonhomogeneous media Int. Commun. Heat Mass Transfer 26 1999 997 1007
34. Z. Guo, and S. Kumar Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media Appl. Optics 39 2000 4411 4417
35. J.C. Chai, and S.V. Patankar Finite-volume method for radiation heat transfer W.K. Minkowycz, E.H. Sparrow, Advances in Numerical Heat Transfer vol. 2 2000 Taylor & Francis Boca Raton
36. H.T.K. Tagne, and D.D. Ballis Radiative heat transfer using isotropic scaling approximation: application to fibrous medium J. Heat Transfer 127 2005 1115 1123 (Pubitemid 43071369)
37. M.Y. Kim, and S.W. Baek Analysis of radiative transfer in cylindrical enclosures using the finite volume method J. Thermophys Heat Transfer 11 1997 246 252 (Pubitemid 127684394)