Wavelets and discrete ordinates method in solving one-dimensional nongray radiation problem

International Journal of Heat and Mass Transfer

Volumn 42, Issue 3, 1998, Pages 385-393

  Wang, Ye ^a   Bayazitoglu, Yildiz ^a  

^a Rice University   (United States)

Author keywords

Radiation

Indexed keywords

RADIATION;

EID: 0344026071     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00187-2     Document Type: Article

References (19)

1. M.A. Heaslet, R.F. Warming, Radiative transport and wall temperatures slip in an absorbing planar medium, International Journal of Heat and Mass Transfer 8 (1965) 979.
2. A.G. Ratzel, P-N differential approximation for solution of one- and two-dimensional radiation and conduction energy transfer in gray participating media. Ph.D. dissertation. Department of Mechanical Engineering, University of Texas, Austin, 1981.
3. J. Higenyi. High order differential approximation of radiative energy transfer in a cylindrical gray medium. Ph.D. dissertation. Rice University, 1979.
4. W.A. Fiveland, Discrete ordinate methods for radiative heat transfer in isotropically and anisotropically scattering media, Journal of Heat Transfer 109 (1987) 809.
5. J.S. Truelove, Discrete-ordinate solutions of the radiation transport equation, Journal of Heat Transfer 109 (1987) 1048.
6. R.D. Cess, P. Mighdoll, S.N. Tiwari, Infrared radiative heat transfer in nongray gases, International Journal of Heat Transfer 10 (1967) 1521.
7. S.H. Chan, C.L. Tien, Infrared radiative heat transfer in Nongray nonisothermal gases, International Journal of Heat Transfer 14 (1971) 19.
8. M.F. Modest, The weighted-sum-of-gray-gases model for arbitrary solution methods in radiative transfer, Journal of Heat Transfer 113 (1991) 650.
9. A. Yucel, Y. Bayazitoglu, P-N approximation for radiative transfer in a nongray planar medium, AIAA Journal 21 (1982) 1196.
10. H.C. Hottel, A.F. Sarofim, Radiative Transfer. McGraw-Hill, New York, 1967.
11. T.K. Kim, J.A. Menart, H.S. Lee. Nongray radiative gas analysis using the S-N discrete ordinate method, Journal of Heat Transfer 113 (1991) 946.
12. I. Daubechies, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics 41 (1988) 909.
13. D.E. Newland, An Introduction to Random Vibrations, Spectral and Wavelet Analysis. John Wiley and Sons, Inc., New York, 1993.
14. Y. Bayazitoglu, B.Y. Wang, Wavelets in the solution of nongray radiative heat transfer equation. HTD-Vol. 332. Proceeding of the ASME Heat Transfer Division 1 (1996) 129.
15. Y. Bayazitoglu, Y. Wang, B.Y. Wang, Wavelets and discrete ordinates method in the solution of the radiative heat transfer equation. To be published in the Proceedings of International Symposium on Radiative Transfer, Kusadasi, Turkey, July 1997.
16. A. Miele, R.R. Iyer, General technique for solving non-linear two-point boundary-value problems via the method of particular solutions, Optimization Theory and Applications 5 (1970) 382.
17. W.W. Yuen, D.J. Rasky, Application of the P-1 approximation to radiative heat transfer in nongray medium, Journal of Heat Transfer 103 (1981) 182.
18. D.K. Edwards, Molecular gas band radiation, Advances in Heat Transfer, vol. 12, Academic Press, New York, 1976, p. 115.
19. W.A. Fiveland, Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method, Journal of Thermophysics and Heat Transfer 2 (1988) 309.