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Application of the HN method to radiative heat transfer for a non-conservative slab

Anwendung der HN Methode auf die Übertragung von Strahlungswärme für eine nicht-konservative Platte
  • S. Bulut and M. Ç. Güleçyüz
From the journal Kerntechnik

Abstract

The HN method is used to calculate the partial fluxes relevant to radiative transfer in a plane parallel medium for linearly anisotropic scattering with specularly and diffusely reflecting boundaries. The solutions are obtained for the non-conservative case. The numerical values of the heat flux functions at the boundaries of the medium are calculated for the two source functions. The numerical results and the convergence of the HN method are compared with earlier results.

Kurzfassung

Die HN Methode wird angewendet zur Berechnung der Teilströme, die relevant sind für die Übertragung von Strahlungswärme in einem planparallelen Medium für linear anisotrope Streuung mit spiegelnden und diffusen Reflektorrandbedingungen. Man erhält Lösungen für den nicht-konservativer Fall. Die numerischen Werte der Wärmestromfunktionen an den Rändern des Mediums werden berechnet für die Zwei-Quellen-Funktionen. Die numerischen Ergebnisse und die Konvergenz der HN Methode werden verglichen mit früheren Ergebnissen.

References

1 Chandrasekhar, S.: Radiative transfer. London: Oxford University Press; 1950Search in Google Scholar

2 Case, K. M.; Zweifel, P. F.: Linear Transport Theory, 1st Ed.; Addison-Wesly Publishing Company Inc.: Reading Massachusetts; 1967Search in Google Scholar

3 Özisik, M. N.: Radiative transfer and interactions with conduction and convection; New York: Wiley1973Search in Google Scholar

4 Tezcan, C.; Kaskas, A.; Güleçyüz, M. Ç.: The HN Method for Solving Linear Transport Equation: Theory And Applications. J. Quant. Spectrosc. Radiat. Transfer78 (2003) 243254Search in Google Scholar

5 Tezcan, C.; Kaskas, A.; Güleçyüz, M. Ç.: The singular eigenfunction method: the Milne problem for isotropic an extremely anisotropic scattering. J. Quant. Spectrosc. Radiat. Transfer62 (1999) 495710.1016/S0022-4073(98)00040-5Search in Google Scholar

6 Bulut, S.; Güleçyüz, M. Ç.: The HN method for slab albedo problem for linearly anisotropic scattering. KERNTECHNIK70 (2005) 301308Search in Google Scholar

7 Bulut, S.; Güleçyüz, M. Ç.; Kaşkaş, A.; Tezcan, C.: Th effect of different expansion of the exit distribution on the extrapolation length for linearly anisotropic scattering. KERNTECHNIK72 (2007) 7785Search in Google Scholar

8 Özisik, M. N.; Siewert, C. E.: On the normal mode expansion technique for radiative transfer in a scattering, absorbing and emitting slab with specularly reflecting boundaries. Heat Mass Transfer 12 (1969) 611620Search in Google Scholar

9 Özisik, M. N.; Siewert, C. E.: Several Particular Solution of the One-Speed Transport Equation. Nuclear Science and Engineering40 (1970) 491494Search in Google Scholar

10 Beach, H. L.; Özisik, M. N.; Siewert, C. E.: Radiativ transfer in linearly anisotropic scattering conservative and non-conservativ slab with reflective boundaries. In. Heat. Mass Transfer14 (1971) 15511565Search in Google Scholar

11 Siewert, C. E.; McCormick, N. J.: On an exact solution in the theory of line formation in stellar atmospheres. The Astrophysical Journal149 (1967) 649653Search in Google Scholar

12 Atalay, M. A.: PN solutions of radiative heat transfer in a slab with reflective boundaries. J. Quant. Spectrosc. Radiat. Transfer101 (2006) 100108Search in Google Scholar

Received: 2007-11-29
Published Online: 2013-04-05
Published in Print: 2008-09-01

© 2008, Carl Hanser Verlag, München

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