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About an analytical application of the spherical symmetric diffusion equation

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Abstract

A time-dependent solution of the radiative diffusion energy equation in a hot plutonium sphere close to radiative equilibrium is derived. Based on a general iteration scheme, the analytical solutions correct to first and second order are derived. The outer boundary condition has been adopted from neutron transport theory.

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Authors and Affiliations

  1. Department of Physics, University of Wuppertal, Gauss-Str. 20, 42119, Wuppertal, Germany

    Jens Fiedler & Frank Goldenbaum

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  1. Jens Fiedler
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  2. Frank Goldenbaum
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Correspondence to Jens Fiedler.

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Fiedler, J., Goldenbaum, F. About an analytical application of the spherical symmetric diffusion equation. Z. Angew. Math. Phys. 63, 975–983 (2012). https://doi.org/10.1007/s00033-012-0212-1

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  • DOI: https://doi.org/10.1007/s00033-012-0212-1

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