“Chapter 5” Diffusion theory

B. Ganapol, P. Tsvetkov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In many nuclear reactor physics texts (excluding Elmer Lewis's recent text however), “Chapter 5” is dedicated to diffusion theory; hence, the title of this submission. Here, we will investigate analytical solutions to the most basic form of the monoenergetic 1D stationary diffusion equation. The intuitive approach taken radically departs from the usual method of solving the diffusion equation. In particular, we consider a general setting such that the method accommodates all solutions to the monoenergetic diffusion equations in 1D plane and curvilinear geometries. This is not your father's diffusion theory and, for this reason, we anticipate it will eventually become the classroom standard.

Original languageEnglish (US)
Title of host publicationInternational Conference on Physics of Reactors
Subtitle of host publicationTransition to a Scalable Nuclear Future, PHYSOR 2020
EditorsMarat Margulis, Partrick Blaise
PublisherEDP Sciences - Web of Conferences
Pages2451-2458
Number of pages8
ISBN (Electronic)9781713827245
DOIs
StatePublished - 2020
Event2020 International Conference on Physics of Reactors: Transition to a Scalable Nuclear Future, PHYSOR 2020 - Cambridge, United Kingdom
Duration: Mar 28 2020Apr 2 2020

Publication series

NameInternational Conference on Physics of Reactors: Transition to a Scalable Nuclear Future, PHYSOR 2020
Volume2020-March

Conference

Conference2020 International Conference on Physics of Reactors: Transition to a Scalable Nuclear Future, PHYSOR 2020
Country/TerritoryUnited Kingdom
CityCambridge
Period3/28/204/2/20

Keywords

  • Consistency
  • Curvilinear geometries
  • Monoenergetic analytical solutions
  • Neutron diffusion equation

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Safety, Risk, Reliability and Quality
  • Nuclear and High Energy Physics
  • Radiation

Fingerprint

Dive into the research topics of '“Chapter 5” Diffusion theory'. Together they form a unique fingerprint.

Cite this