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Solution of diffusion equation in deformable spheroids

Ayyoubzadeh, S. M ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.anucene.2011.01.014
  3. Publisher: 2011
  4. Abstract:
  5. The time-dependent diffusion of neutrons in a spheroid as a function of the focal distance has been studied. The solution is based on an orthogonal basis and an extrapolation distanced related boundary condition for the spheroidal geometry. It has been shown that spheres and disks are two limiting cases for the spheroids, for which there is a smooth transition for the systems properties between these two limits. Furthermore, it is demonstrated that a slight deformation from a sphere does not affect the fundamental mode properties, to the first order. The calculations for both multiplying and non-multiplying media have been undertaken, showing good agreement with direct Monte Carlo simulations
  6. Keywords:
  7. Buckling ; Diffusion equations ; Direct monte carlo simulations ; First order ; Focal distances ; Fundamental modes ; Limiting case ; Neutron diffusion ; Orthogonal basis ; Smooth transitions ; Spheroidal geometry ; Time-dependent diffusion ; Computer simulation ; Deformation ; Geometry ; Monte Carlo methods ; Neutrons ; Partial differential equations ; Spheres ; Diffusion
  8. Source: Annals of Nuclear Energy ; Volume 38, Issue 5 , 2011 , Pages 982-988 ; 03064549 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0306454911000156