An analytical solution for a simple time dependent neutron transport problem: Shut down of the external source


An analytical solution for a simple time dependent neutron transport problem: Shut down of the external source

Merk, B.

An analytical solution for the shut down of an external source in a homogeneous subcritical reactor problem is developed. The problem is described through an approximation of the Boltzmann Transport equation, the Telegrapher's or time dependent P1 equation. The analytical solution to the problem is expressed in terms of a Green's function expansion. The differences between the solution for the Telegrapher's equation and the diffusion equation without separation of space and time are discussed.

Keywords: Telegrapher's equation; Neutron Transport; Space-Time Dependent Transport; Accelerator Driven Systems

  • Contribution to proceedings
    Actinide and Fission Product Partitioning and Transmutation Tenth Information Exchange Meeting, 06.-10.10.2008, Mito, Japan
    Actinide and Fission Product Partitioning and Transmutation: Nuclear Energy Agency
  • Poster
    Actinide and Fission Product Partitioning and Transmutation Tenth Information Exchange Meetin, 06.-10.10.2008, Mito, Japan

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