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 -