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Hybrid Methods in Engineering

Published 4 issues per year

ISSN Print: 1099-2391

ISSN Online: 2641-7359

A CLOSED-FORM SOLUTION TO THE ONE-DIMENSIONAL LINEAR AND NONLINEAR RADIATIVE TRANSFER PROBLEM

Volume 1, Issue 1, 1999, 18 pages
DOI: 10.1615/HybMethEng.v1.i1.10
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ABSTRACT

The LTSN method, combined with the decomposition method, is used to develop a closed-form solution to one-dimensional linear and nonlinear discrete ordinates radiative transfer problems. The extension of this procedure to all one-dimensional approximations of the transport equations, displayed as a set of first-order linear differential equations, is also presented. Our attention is focused on the topics of derivation and review of some applications of the discussed method.

CITED BY
  1. Barichello L.B., Rodrigues P., Siewert C.E., An analytical discrete-ordinates solution for dual-mode heat transfer in a cylinder, Journal of Quantitative Spectroscopy and Radiative Transfer, 73, 6, 2002. Crossref

  2. Batistela Cláudia Helena F., Vilhena Marco Túllio de, Borges Volnei, Determination of the effective multiplication factor in a slab by the LTSN method, Annals of Nuclear Energy, 26, 9, 1999. Crossref

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