A Conservative Formulation of the Discrete Transfer Method

Author:

Coelho P. J.1,Carvalho M. G.1

Affiliation:

1. Mechanical Engineering Department, Instituto Superior Te´cnico, Technical University of Lisbon, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal

Abstract

The discrete transfer method, often employed to calculate radiative heat transfer in combustion chambers, is not conservative. The reason for this behavior is examined and a conservative formulation is proposed and evaluated. A simple treatment of isotropic scattering media is also presented. The original and the conservative formulation of the method are applied to two-dimensional and three-dimensional enclosures containing a participating medium. It is shown that the accuracy of the original and the conservative formulation is very similar, but the proposed formulation has the advantage of ensuring energy conservation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference26 articles.

1. Boyd, R. K., and Kent, J. H., 1986, “Three-dimensional Furnace Computer Modelling,” 21st Symposium (Int.) on Combustion, The Combustion Institute, Pittsburgh, PA, pp. 265–274.

2. Bressloff, N. W., Moss, J. B., and Rubini, P. A., 1995, “Application of a New Weighting Set for the Discrete Transfer Radiation Model,” Proceedings, 3rd European Conference on Industrial Furnaces and Boilers, Lisbon, Portugal.

3. Carlson, B. G., and Lathrop, K. D., 1968, “Transport Theory—The Method of Discrete Ordinates,” Computing Methods in Reactor Physics, H. Greenspan, C. N. Kelber, and D. Okrent, eds., Gordon & Breach, New York.

4. Carvalho M. G. , and CoelhoP. J., 1989, “Heat Transfer in Gas Turbine Combustors,” Journal of Thermophysics and Heat Transfer, Vol. 3, No. 2, pp. 123–131.

5. Carvalho M. G. , FariasT., and FontesP., 1993, “Multidimensional Modeling of Radiative Heat Transfer in Scattering Media,” ASME JOURNAL OF HEAT TRANSFER, Vol. 115, pp. 486–489.

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