01TWMND

A.A. 2019/20

Course Language

Inglese

Course degree

Master of science-level of the Bologna process in Ingegneria Energetica E Nucleare - Torino

Course structure

Teaching | Hours |
---|---|

Lezioni | 65 |

Esercitazioni in aula | 15 |

Teachers

Teacher | Status | SSD | h.Les | h.Ex | h.Lab | h.Tut | Years teaching |
---|---|---|---|---|---|---|---|

Dulla Sandra | Professore Ordinario | ING-IND/18 | 35 | 15 | 0 | 0 | 4 |

Teaching assistant

Context

SSD | CFU | Activities | Area context |
---|---|---|---|

ING-IND/18 | 8 | B - Caratterizzanti | Ingegneria energetica e nucleare |

2019/20

The course provides the specific physical and mathematical bases to be used in the study of the physics of fission and fusion reactors. The course is made of two parts. In the first, the kinetic theory is treated. The classic Boltzmann equation is deduced and the relationship between kinetic theory and fluid models is studied. In the second part the neutron transport equation and the physical principles of nuclear fission reactors are illustrated. Some simplified models and approximations for the description of the neutronics of multiplying systems are then presented, together with the fundamentals of criticality theory, reactor dynamics and perturbation theory.

The course provides the specific physical and mathematical bases to be used in the study of the physics of fission and fusion reactors. The course is made of two parts. In the first, the kinetic theory is treated. The classic Boltzmann equation is deduced and the relationship between kinetic theory and fluid models is studied. In the second part the neutron transport equation and the physical principles of nuclear fission reactors are illustrated. Some simplified models and approximations for the description of the neutronics of multiplying systems are then presented, together with the fundamentals of criticality theory, reactor dynamics and perturbation theory.

The part of the course on transport theory should enable the students to understand the fundamentals of kinetic theory and the link to neutronics and fluid-dynamics. The student should also acquire the basic knowledge on some of the mathematical physical models for the design of the cores of nuclear reactors. He should be able to carry out calculations and simulations of the neutronics of multiplying systems, criticality calculations and evaluations on the dynamics of nuclear reactors, and he should acquire the capability to physically interpret the results.

The part of the course on transport theory should enable the students to understand the fundamentals of kinetic theory and the link to neutronics and fluid-dynamics. The student should also acquire the basic knowledge on some of the mathematical physical models for the design of the cores of nuclear reactors. He should be able to carry out calculations and simulations of the neutronics of multiplying systems, criticality calculations and evaluations on the dynamics of nuclear reactors, and he should acquire the capability to physically interpret the results.

The student should have the basic knowledge of mathematics and physics, as can be acquired in the courses of a bachelor’s program in industrial engineering.

The student should have the basic knowledge of mathematics and physics, as can be acquired in the courses of a bachelor’s program in industrial engineering.

1 Kinetic theory of gases
1.1 Rarefied gases
1.2 Binary collisions
1.3 Boltzmann equation
1.4 H theorem
1.5 Equations of fluid-dynamics
2 Design calculation of multiplying structures
2.1 Generation of nuclear data;
2.2 Criticality calculation; multiplication eigenvalue and physical meaning;
2.3 Integration of the neutronic calculation in the design of a nuclear reactor.
3 Neutronic models
3.1 Multigroup diffusion theory;
3.2 Homogeneous and heterogeneous reactors; reflected reactors;
3.3 Neutron transport theory.
3.4 Slowing-down of neutrons in matter
4 Perturbation theory
4.1 Perturbation methods for eigenvalues;
4.2 Generalized perturbation techniques.
5 Nuclear reactor dynamics
5.1 Factorization methods for the solution of the neutronic equations; point kinetics and quasi-static method;
5.2 Non-linear feed-back effects;
5.3 Transmutation phenomena.
6 Mathematical and computational techniques
6.1 Spherical harmonics method
6.2 Discrete ordinate method
6.3 Analytical solution of the linear transport equation

1 Kinetic theory of gases
1.1 Rarefied gases
1.2 Binary collisions
1.3 Boltzmann equation
1.4 H theorem
1.5 Equations of fluid-dynamics
2 Design calculation of multiplying structures
2.1 Generation of nuclear data;
2.2 Criticality calculation; multiplication eigenvalue and physical meaning;
2.3 Integration of the neutronic calculation in the design of a nuclear reactor.
3 Neutronic models
3.1 Multigroup diffusion theory;
3.2 Homogeneous and heterogeneous reactors; reflected reactors;
3.3 Neutron transport theory.
3.4 Slowing-down of neutrons in matter
4 Perturbation theory
4.1 Perturbation methods for eigenvalues;
4.2 Generalized perturbation techniques.
5 Nuclear reactor dynamics
5.1 Factorization methods for the solution of the neutronic equations; point kinetics and quasi-static method;
5.2 Non-linear feed-back effects;
5.3 Transmutation phenomena.
6 Mathematical and computational techniques
6.1 Spherical harmonics method
6.2 Discrete ordinate method
6.3 Analytical solution of the linear transport equation

In the sessions applications of the theory presented in the lectures are proposed, such as:
- Simulation of the collisional process in a gas
- analytical solution of a 0D kinetic model
- Analitycal solution of the neutron transport equation in the infinite medium

In the sessions applications of the theory presented in the lectures are proposed, such as:
- Simulation of the collisional process in a gas
- analytical solution of a 0D kinetic model
- Analitycal solution of the neutron transport equation in the infinite medium

- Bell, G. I., and Glasstone, S. Nuclear Reactor Theory, Van Nostrand Reinhold Inc.,U.S., 1970
- A. F. Henry, Nuclear-reactor Analysis, MIT Press, 1975
- K. M. Case, P. F. Zweifel, Linear transport theory, Addison-Wesley, 1967
- R. V. Meghreblian, D. K. Holmes, Reactor Analysis, McGraw-Hill, 1960

- Bell, G. I., and Glasstone, S. Nuclear Reactor Theory, Van Nostrand Reinhold Inc.,U.S., 1970
- A. F. Henry, Nuclear-reactor Analysis, MIT Press, 1975
- K. M. Case, P. F. Zweifel, Linear transport theory, Addison-Wesley, 1967
- R. V. Meghreblian, D. K. Holmes, Reactor Analysis, McGraw-Hill, 1960

...
The evaluation is carried out by an oral examination, to verify that the student knows the basic principles of particle transport, the fundamentals of nuclear reactor physics and the methods to solve neutron transport problems in steady state and in transient regimes.
In the first part of the exam the student can present an argument of his choice. In the second part the student is asked to answer questions on both general transport theory and nuclear reactor physics.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.

The evaluation is carried out by an oral examination, to verify that the student knows the basic principles of particle transport, the fundamentals of nuclear reactor physics and the methods to solve neutron transport problems in steady state and in transient regimes.
In the first part of the exam the student can present an argument of his choice. In the second part the student is asked to answer questions on both general transport theory and nuclear reactor physics.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.

© Politecnico di Torino

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY