6533b7d4fe1ef96bd1262a11
RESEARCH PRODUCT
First Flight Escape Probability and Uncollided Flux of Nuclear Particles in Convex Bodies with Spherical Symmetry
S. GarittaPierluigi ChiovaroP.a. Di MaioE. ValloneGiuseppe Vellasubject
Physics020209 energyRegular polygonFlux02 engineering and technology01 natural sciences010305 fluids & plasmasClassical mechanicsNuclear Energy and EngineeringSimple (abstract algebra)0103 physical sciences0202 electrical engineering electronic engineering information engineeringFirst flight escape probability uncollided fluxCircular symmetrySettore ING-IND/19 - Impianti Nuclearidescription
This paper deals with the evaluation of the first flight escape probability of nuclear particles from convex bodies with spherical symmetry by means of some geometrical arguments and very simple probability considerations. The cases of a full sphere, a one-region spherical shell with an empty central zone, a spherical shell region containing a black central zone, and a full sphere with a sourceless shell have been considered. In all the aforementioned cases, a homogeneous medium and uniform isotropic source have been taken into account. Moreover, a simple and general formula has been derived for the calculation of the uncollided flux that is presupposed to be valid for arbitrary geometries. The results obtained have been validated by Monte Carlo analyses performed by the Monte Carlo N-Particle (MCNP5) code and critically discussed.
year | journal | country | edition | language |
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2016-05-01 |