Abstract
The zonal-iterative calculation method for radiation heat transfer is developed for arbitrary number of zones (opaque diffusely-radiating and reflecting surfaces). This method is based on transformation of the initial integral equations to equivalent system of integral equations with smaller kernel norm. The method provides high accuracy at a small number of the zones. The method was used for analysis of effective radiation in an isothermal tube cavity with a longitudinal pyrometric slit. In this case one zone was enough and one of the particular solutions can be obtained analytically.
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References
V.N. Adrianov, Foundations of Radiant and Complex Heat Transfer, Energiya, Moscow, 1972.
A.S. Nevsky, Radiant Heat Transfer in Furnaces and Fire-Chambers, Metallurgia, Moscow, 1971.
N.A. Rubtsov, Radiant Heat Transfer in Solid Media, Nauka, Novosibirsk, 1984.
R. Siegel and J. Howell, Thermal Radiation Heat Transfer, 4th ed., Taylor and Francis-Hemisphere, Washington, 2001.
S.P. Rusin and V.E. Peletsky, The characteristics of thermal radiation of cylindrical isothermal cavities with longitudinal pyrometric slit, High Temperatures, 1999, Vol. 37, No. 3, P. 427–431.
Integral Equations, P.P. Zabreiko, A.I. Koshelev, M.A. Krasnoselsky, S.G. Mikhlin, L.S. Rakovshchik, and V.Ya. Stetsenko (Eds.), Nauka, Moscow, 1968.
G.N. Polozhiy, and P.I. Chalenko, Solution to integral equations by the Schlieren method, Problems of Mathematical Physics and Function Theory, AN USSR, Kiev, 1964, Vol. 1, P. 124–144.
S.P. Rusin, About zonal-iteration method of calculation for radiant heat transfer, Proc. 2nd Russ. Conf. on Heat Transfer, Vol. 6, MPEI, Moscow, 1998, P. 358–361.
S.P. Rusin and V.E. Peletsky, Heat Radiation of Cavities, Energoatomizdat, Moscow, 1987.
A.A. Paskachey and S.P. Rusin, Measurement of Temperatures in Electroheat Installations. Methods and Devices, Energiya, Moscow, 1967.
L.N. Latyev, V.A. Petrov, V.Ya. Chekhovskoy, and E.N. Shestakov, Radiation Properties of Solid Materials, Handbook, A.E. Sheindlin (Ed.), Energiya, Moscow, 1974.
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The work was financially supported by the Russian Foundation for Basic Research (Grant No. 06-08-01561).
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Rusin, S.P. Zonal-iterative calculation method for radiation heat transfer in cavity systems. Thermophys. Aeromech. 13, 427–434 (2006). https://doi.org/10.1134/S0869864306030139
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DOI: https://doi.org/10.1134/S0869864306030139