# Heat Transfer with Radiation

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 April 11, 1999, 13:34 Heat Transfer with Radiation #1 I.Dotsikas Guest   Posts: n/a I am using the finite Volume Method and I am looking for books and articles dealing with the modelling of radiation in Heat transfer. ( View Method and so on). I am glad for every contribusion

 April 12, 1999, 16:32 Re: Heat Transfer with Radiation #3 John C. Chai Guest   Posts: n/a Please visit the following webpage. We published a few papers on radiation heat transfer calculation using the finite volume method. http://jcchai.me.tntech.edu/vitae/jchai.html Please feel free to contact me with questions.

 April 13, 1999, 06:15 Re: Heat Transfer with Radiation #4 NURAY KAYAKOL Guest   Posts: n/a HI, DIFFUSION APPROXIMATION IS VALID FOR OPTICALLY THICK MEDIA LIKE GLASS MELTS. YES IT REDUCES MATEMATICAL COMPLEXITY BUT RADIATION ITSELF IS NOT A DIFFUSION PROCESS. FOR COMBUSTION SPACE WHICH SHOULD BE TREATED AS OPTICALLY THIN MEDIA, RADIATIVE TRANSPORT EQUATION (RTE) SHOULD BE SOLVED USING AN APPROXIMATE RADIATION MODEL LIKE DISCRETE TRANSFER, DISCRETE ORDINATES OR FINITE VOLUME METHOD. LATEST PUBLICATION RELATED TO FINITE VOLUME METHOD, S.H. KIM AND K.Y.HUH NUMERICAL HEAT TRANSFER PART B: VOL.35 NO 1, 1999 DR. NURAY KAYAKOL SISECAM GLASS RESEARCH CENTER TURKIYE

 April 13, 1999, 11:56 Re: Heat Transfer with Radiation #5 Patrick Godon Guest   Posts: n/a Hi there. Yes, I mentioned that the approximation I suggested is for optically thick media, where the radiation is in equilibrium with the gas. There is even a similar treatment for optically thin, but I guess that it does not apply here for the specific application. Cok merci. Dr. P. Godon, STScI.

 April 13, 1999, 21:19 Re: Heat Transfer with Radiation #6 lee Guest   Posts: n/a P1 method,which is a kind of diffusion equation, is used for solving the opticallly thin media, and for the optically thick media, we must use another algorithm, like as S4 method. S4 method is accurate compared to p1 method but the cpu time is very long, so the new alogorithm adopting the advantages of those two method(p1 method and s4 method) is needed, that is accurate prediction with reduced cpu time. for more details , see the book "RADIATIVE TRANSFER EQUATION" BY OZISIK

 April 16, 1999, 12:06 Re: Heat Transfer with Radiation #7 Nuray Kayakol Guest   Posts: n/a Both P1 and S4 are belong to flux type radiation model known as most computationally efficient technique among the others. P1 method is not suggested for optically thin media like natural gas combustion. (Mengüç and Wiskanta, 1987 "Radiative tranfer in Combustion sytems" Prog.Energy,Combustion Science, vol 13. pp.97-160) S4 uses 24 rays which means 24 pass over all control volumes within the enclosure. In large scale furnace modeling at least 200 000 nodes are necessary. Each dependent variable requires 200 000 visit but intensity which is a directional quantity needs 24x200 000 visit. When the walls are non-black multiply that quantity at least with 10. I think large CPU times are inevitable for large systems. Beside the accuracy, new radiation model should be compatible with the solution of the partial diffrential equations used for CFD. That is why Sn or finite volume methods are incorparated into CFD codes. Control volume approach is used for both flow and radiation.

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