TY - GEN
T1 - “Chapter 5” Diffusion theory
AU - Ganapol, B.
AU - Tsvetkov, P.
N1 - Publisher Copyright:
© The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Consistency
KW - Curvilinear geometries
KW - Monoenergetic analytical solutions
KW - Neutron diffusion equation
UR - http://www.scopus.com/inward/record.url?scp=85108426235&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85108426235&partnerID=8YFLogxK
U2 - 10.1051/epjconf/202124714005
DO - 10.1051/epjconf/202124714005
M3 - Conference contribution
AN - SCOPUS:85108426235
T3 - International Conference on Physics of Reactors: Transition to a Scalable Nuclear Future, PHYSOR 2020
SP - 2451
EP - 2458
BT - International Conference on Physics of Reactors
A2 - Margulis, Marat
A2 - Blaise, Partrick
PB - EDP Sciences - Web of Conferences
T2 - 2020 International Conference on Physics of Reactors: Transition to a Scalable Nuclear Future, PHYSOR 2020
Y2 - 28 March 2020 through 2 April 2020
ER -