First Flight Escape Probability and Uncollided Flux of Nuclear Particles in Convex Bodies with Spherical Symmetry

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Abstract

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.
Lingua originaleEnglish
pagine (da-a)52-64
Numero di pagine13
RivistaNuclear Science and Engineering
Volume183
Stato di pubblicazionePublished - 2016

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Fluxes
Geometry

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering

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title = "First Flight Escape Probability and Uncollided Flux of Nuclear Particles in Convex Bodies with Spherical Symmetry",
abstract = "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.",
author = "{Di Maio}, {Pietro Alessandro} and Silvia Garitta and Pierluigi Chiovaro and Eugenio Vallone and Giuseppe Vella",
year = "2016",
language = "English",
volume = "183",
pages = "52--64",
journal = "Nuclear Science and Engineering",
issn = "0029-5639",
publisher = "American Nuclear Society",

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TY - JOUR

T1 - First Flight Escape Probability and Uncollided Flux of Nuclear Particles in Convex Bodies with Spherical Symmetry

AU - Di Maio, Pietro Alessandro

AU - Garitta, Silvia

AU - Chiovaro, Pierluigi

AU - Vallone, Eugenio

AU - Vella, Giuseppe

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/222173

M3 - Article

VL - 183

SP - 52

EP - 64

JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

SN - 0029-5639

ER -