Startseite Technik Application of the HN method to radiative heat transfer for a non-conservative slab
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

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

  • S. Bulut und M. Ç. Güleçyüz
Veröffentlicht/Copyright: 5. April 2013
Veröffentlichen auch Sie bei De Gruyter Brill

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; 1950Suche in Google Scholar

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

3 Özisik, M. N.: Radiative transfer and interactions with conduction and convection; New York: Wiley1973Suche 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) 243254Suche 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)00040-5Suche in Google Scholar

6 Bulut, S.; Güleçyüz, M. Ç.: The HN method for slab albedo problem for linearly anisotropic scattering. KERNTECHNIK70 (2005) 301308Suche 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) 7785Suche 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) 611620Suche in Google Scholar

9 Özisik, M. N.; Siewert, C. E.: Several Particular Solution of the One-Speed Transport Equation. Nuclear Science and Engineering40 (1970) 491494Suche 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) 15511565Suche 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) 649653Suche 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) 100108Suche in Google Scholar

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

© 2008, Carl Hanser Verlag, München

Heruntergeladen am 13.12.2025 von https://www.degruyterbrill.com/document/doi/10.3139/124.100542/html?lang=de
Button zum nach oben scrollen