Numerical solution of the one velocity Boltzmann neutron transport equation in slab geometry.
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Numerical solution of the one velocity Boltzmann neutron transport equation in slab geometry. by Lambros Lois

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Published in [New York] .
Written in English

Subjects:

  • Neutron transport theory.

Book details:

Classifications
LC ClassificationsQC721 .L789
The Physical Object
Paginationviii, 133 l.
Number of Pages133
ID Numbers
Open LibraryOL4718650M
LC Control Number78005457

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Neutron Transport Theory. Neutron transport theory is concerned with the transport of neutrons through various media. As was discussed neutrons are neutral particles, therefore they travel in straight lines, deviating from their path only when they actually collide with a nucleus to be scattered into a new direction or absorbed.. Transport theory is relatively simple in principle . A ROUND-OFF FREE SOLUTION OF THE BOLTZMANN TRANSPORT EQUATION IN SLAB GEOMETRY 1 LAMBROS LOIS* WESTINGHOUSE ELECTRIC CORPORATION BETTIS ATOMIC POWER LABORATORY WEST MIFFLIN, PENNSYLVANIA AND J. CERTAINE UNITED NUCLEAR CORPORATION WHITE PLAINS, NEW YORK This report was partly Cited by: 2. NUMERICAL SOLUTION OF THE BOLTZMANN TRANSPORT EQUATION CONSISTENCY OF THE DIFFERENCE EQUATION With the definitions of A, and ^,+1/2 that we have used, we have a discrete analog of Eq. (7). Hence we should be able to obtain (7) from (14) in the limit of small intervals as Iw-^df^ and r,+i - r,-^dr. Examining by: Derivation of the Boltzmann Equation From the single particle non-equilibrium distribution function, we can derive a transport equation of motion1. We start off by considering a set of N non-interacting particles subject to an external periodic potential V ext(r,t), thus having the Hamiltonian H = XN i=1 p2 i 2m +V ext(r i,t). (6).

Neutron transport is the study of the motions and interactions of neutrons with materials. Nuclear scientists and engineers often need to know where neutrons are in an apparatus, what direction they are going, and how quickly they are moving. It is commonly used to determine the behavior of nuclear reactor cores and experimental or industrial neutron beams. A hybrid method for the solution of linear boltzmann equation. as well as to validate numerical solution of the TDD1. dependent neutron transport equation in slab geometry are given. The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium, devised by Ludwig Boltzmann in The classic example of such a system is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the random but biased transport of . The numerical solution for a simple line source problem is compared to the analytic solution to both the P1 equation and the full transport solution. A lattice problem is used to test the method.

  () A multi-term solution of the space–time Boltzmann equation for electrons in gases and liquids. Plasma Sources Science and Technology , () Properties-preserving high order numerical methods for a kinetic eikonal by: H;|Violeta 1 – Word\web\Neutron Transport Neutron Transport Equation Prepared by Dr. Daniel A. Meneley, Senior Advisor, Atomic Energy of Canada Ltd. and Adjunct Professor, Department of Engineering Physics McMaster University, Hamilton, Ontario, Canada Summary: Derivation of the low-density Boltzmann equation for neutron. Boltzmann's Transport Equation With his ``Kinetic Theory of Gases'' Boltzmann undertook to explain the properties of dilute gases by analysing the elementary collision processes between pairs of molecules. The evolution of the distribution density in space,, is described by Boltzmann's transport equation. A thorough treatment of this. The Boltzmann equation is an equation of statistical mechanics describing the evolution of a rarefied gas. • In a fluid in continuum mechanics, all particles in a spatial volume element are approximated as having the same velocity. • In a rarefied gas in statistical mechanics, there is enough space that particles in one spatial volumeCited by: 2.