The method of lines solution of discrete ordinates method for non-grey media

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 104, Issue 2, 2007, Pages 228-237

  Çayan, Fatma Nihan ^a   Selçuk, Nevin ^a  

^a MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Discrete ordinates method (DOM); Method of lines (MOL); Radiative heat transfer; Wide band correlated k

Indexed keywords

ABSORPTION SPECTROSCOPY; EMISSION SPECTROSCOPY; HEAT FLUX; MATHEMATICAL MODELS;

DISCRETE ORDINATES METHOD (DOM); METHOD OF LINES (MOL); NON-GREY ABSORBING-EMITTING MEDIA; RADIATIVE HEAT TRANSFER; WIDE BAND CORRELATED-K;

HEAT RADIATION;

COMPUTATIONAL FLUID DYNAMICS; DISCRETE ELEMENT METHOD; HEAT FLUX; HEAT TRANSFER; RADIATIVE TRANSFER;

EID: 33750827028     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2006.07.016     Document Type: Article

References (20)

1. Selçuk N., and Kirbaş G. The method of lines solution of the discrete ordinates method for radiative heat transfer in enclosures. Numer Heat Transfer B-Fundam 37 (2000) 379-392
2. Selçuk N., and Ayranci I. The method of lines solution of the discrete ordinates method for radiative heat transfer in enclosures containing scattering media. Numer Heat Transfer B-Fundam 43 2 (2003) 179-201
3. Harmandar S., and Selçuk N. The method of lines solution of the discrete ordinates method for radiative heat transfer in cylindrical enclosures. JQSRT 84 4 (2004) 395-407
4. Selçuk N., Uygur A.B., Ayranci I., and Tarhan T. Transient simulation of radiating flows. JQSRT 93 1-3 (2005) 151-161
5. 2-CO transparent nonisothermal gases mixtures up to 3000 K. JQSRT 30 (1983) 371-379
6. Goody R.M., and Yung Y.L. Atmospheric radiation (1989), Oxford University Press, Oxford
7. Edwards D.K. Molecular gas band radiation. Advances in heat transfer vol. 12 (1976), Academic Press, New York 115-194
8. Liu F., and Smallwood G.J. An efficient approach for the implementation of the SNB based correlated-k method and its evaluation. JQSRT 84 (2004) 465-474
9. Lee P.Y.C., Hollands K.G.T., and Raithby G.D. Reordering the absorption coefficient within the wide band for predicting gaseous radiant exchange. J Heat Transfer 118 (1996) 394-400
10. Parthasarathy G., Chai J.C., and Patankar S.V. A simple approach to non-grey gas modelling. Numer Heat Transfer B-Fundam 29 (1996) 113-123
11. Marin O., and Buckius R.O. Wideband correlated-k method applied to absorbing, emitting and scattering media. J Thermophys Heat Transfer 10 (1996) 364-371
12. Strohle J., and Coelho P.J. On the application of the exponential wide band model to the calculation of radiative heat transfer in one- and two-dimensional enclosures. Int J Heat Mass Transfer 45 (2002) 2129-2139
13. Denison M.K., and Fiveland W.A. A correlation for the reordered wave number of the wide-band absorptance of radiating gases. J Heat Transfer 119 (1997) 853-856
14. Carlson B.G., and Lathrop K.D. Transport theory-the method of discrete ordinates in computing methods in reactor physics. In: Greenspan H., Kelber C.N., and Okrent D. (Eds). Computing methods in reactor physics (1968), Gordon & Breach, New York 165-266
15. Modest M.F. The weighted-sum-of-grey gases model for arbitrary solution methods in radiative transfer. J Heat Transfer 113 (1991) 650-656
16. Yucel A. Solution of the discrete ordinates equations for a radiatively participating medium by the method of lines. In: Vichnevetsky R., Knight D., and Richter G. (Eds). Advances in computer methods for partial differential equations VII (1992), IMACS, New Brunswick 838-844
17. Schiesser W.E. The numerical method of lines in integration of partial differential equations (1991), Academic Press Inc, San Diego
18. Modest M.F. Radiative heat transfer (2003), Academic Press Inc, San Diego
19. Weiner R., Schmitt B.A., and Podhaisky H. ROWMAP-a row-code with Krylov techniques for large stiff ODEs. Appl Numer Math 25 2-3 (1997) 303-319
20. Denison MK. A spectral line-based weighted-sum-of-grey-gases model for arbitrary RTE solvers. PhD. thesis, Mechanical Engineering Department, Brigham Young University, Provo, UT, 1994.