Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium

D. Q. de Camargo (), B. E. J. Bodmann (), M. T. Vilhena () and C. F. Segatto ()
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D. Q. de Camargo: Federal University of Rio Grande do Sul
B. E. J. Bodmann: Federal University of Rio Grande do Sul
M. T. Vilhena: Federal University of Rio Grande do Sul
C. F. Segatto: Federal University of Rio Grande do Sul

Chapter Chapter 7 in Integral Methods in Science and Engineering, 2013, pp 91-104 from Springer

Abstract: Abstract In the present contribution the equation of radiative-conductive transfer in a plane parallel heterogeneous medium is solved without linearization or a reduction to a diffusion equation. The approach used in this study maintains the nonlinearity that represents the crucial ingredient in the problem. The solution of the discretized problem in the angular variable can be given in closed analytical form, which permits to calculate numerical results in principle to any desired accuracy. Moreover, the influence of the nonlinearity can be analyzed in an analytical fashion directly from the formal solution.

Keywords: radiative-conductive transfer; nonlinear Boltzmann equation; discrete ordinate method; probability; closed form solution; decomposition method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7828-7_7

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DOI: 10.1007/978-1-4614-7828-7_7

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