Closed-form solution of the first-order Transport-Driven Diffusion approximation

Paolo Picca, Roberto Furfaro

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The paper presents a closed-form solution of the first-order Transport-Driven Diffusion (TDD) proposed by Picca and Furfaro (2014). The solution is rigorously derived for two source configurations (i.e. Dirac's delta and rectangular source) to explicitly describe the contribution of the uncollided component and the collided diffuse term. The results are employed to compare the solution of first-order Transport-Driven Diffusion (TDDT with T = 1) with the analytical diffusion approximation as well as to validate numerical solution of the TDD1. The comparison with higher-order TDD (i.e., (TDDT with T > 1) is also reported.

Original languageEnglish (US)
Pages (from-to)431-438
Number of pages8
JournalAnnals of Nuclear Energy
StatePublished - Feb 2015


  • Closed-form solution
  • Diffusion theory
  • Neutral particle transport
  • Transport-Driven Diffusion

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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