Introduction to Nuclear Reactor Physics 2
Code  Completion  Credits  Range  Language 

17ZAF2  Z,ZK  3  2+1  Czech 
 Garant předmětu:
 Lecturer:
 Jan Frýbort, Lenka Frýbortová
 Tutor:
 Jan Frýbort, Lenka Frýbortová
 Supervisor:
 Department of Nuclear Reactors
 Synopsis:

Lectures follow up 17ZAF1 and expands application of diffusion theory derived based on Fick's low for diffusion in gases. Analysis of bare homogeneous reactor and homogeneous reactor with reflector is main part of lectures. Three basic geometry are considered in derivation  slab, sphere, cylinder.
Students learn to determine spatial distribution of neutron flux for each part (reactor core and reflector) and individual energetic groups, based on critical equation they learn how to calculate critical amount of fissile material or critical dimensions. Possible use of diffusion theory is discussed also for fast reactor and differences between thermal and fast reactors are stressed. Part is addicted to reactor regulation and analysis of control rods. There are also summarized differences between homogeneous and heterogeneous reactors.
 Requirements:

pass 17ZAF1
 Syllabus of lectures:

1. Diffusion theory
9 lectures
Diffusion equation and boundary condition  neutron flux density, neutron current, Fick's low; diffusion equation of nuclear reactor  slab, sphere, cylinder; power peaking factor, critical equations  one group critical equation, two group critical equation for thermal reactors, modified one group critical equation; reactors with reflector  one group and two group analysis, time dependence diffusion equation; fast reactors, energy dependence of neutron flux
2. Kinetics and dynamics of nuclear reactors
1 lecture
Reactor kinetics  long term kinetics, fuel burn up, medium term and short term kinetics; point kinetics; reactor dynamics  temperature reactivity feedback (isotermic, moderator, void and Doppler coefficient of reactivity), influence of temeprature to multiplication factor, temperature dependence of diffusion parametres  diffusion coeficient, diffusion length, Fermi age
3. Slowing down of neutrons
1 lecture
Slowing down on hydrogen, slowing down in A>1 mater, spectrum of neutron source, slowing down in isotopes mixtures
4. Control rod
1 lecture
Influence of control rod; analysis of central absorption rod  evaluation of design, worth of rod, one group and two group calculation; eccentric rod; ring of control rods; control rod of fast reactor; reactor regulation
5. Heterogenous reactor
1 lecture
Quasihomogeneous reactor, heterogeneous reactor  definition of individual coefficients and multiplication factor in heterogeneous reactor
 Syllabus of tutorials:

Part of course are exercises. Based on study programs, there are six excercises (one per 14 days).
Expamples of different application of diffusion theory are solved. Calculations are focused on evalutation of neutron flux distribution in reacotr core or reflector and determination of critical size or critical composition.
Metodolgy of calculation is demonstrated also during lectures where the connection to the theory and aplicacion of assumption and boundary conditions is stressed.
 Study Objective:

Knowledge: deep knowledge of diffusion theory and its application for basic geometry of homogeneous reactor, calculation of reactor with reflector and understanding of difference between homogeneous and heterogeneous reactor
Abilities: good overview in problems, ability to criticize used goings and evaluate results with respect to standard neutron physical characteristics of reactor core
 Study materials:

Key references:
1. John R. Lamarsh, Anthony J. Baratta, Introduction to Nuclear Engineering, Prentice FRÝBORT, Jan, Lenka HERALTOVÁ a Milan ŠTEFÁNIK. Úvod do reaktorové fyziky: teorie a cvičení. 1. vyd. V Praze: ČVUT, 2013. 120 s. ISBN 9788001053225
2. LAMARSH, John R. Introduction to nuclear engineering. 3rd ed. Upper Saddle River: Prentice Hall, C2001. xv, 783 s. ISBN 0201824981.5
3. HEŘMANSKÝ, Bedřich. Jaderné reaktory. Praha: SNTL, 1981. 271 s
4. ZEMAN, Jaroslav. Reaktorová fyzika 1. Dotisk 2. přeprac. vyd. Praha: ČVUT, 2003. 203 s. ISBN 800101933 0
ZEMAN, Jaroslav. Reaktorová fyzika. 2. Vyd. 3. Praha: ČVUT, 2001. 147 s. ISBN 8001023370
Recommended references:
1. DOE Fundamentals Handbooks  Nuclear Physics and Reactor Theory, Vol. 1 a Vol. 2 , dostupné online
2. REUSS, Paul. Neutron physics. 1st ed. Les Ulis Cedex: EDP Sciences, 2008. xxvi, 669 s. ISBN 9782759800414
 Note:
 Timetable for winter semester 2024/2025:
 Timetable is not available yet
 Timetable for summer semester 2024/2025:
 Timetable is not available yet
 The course is a part of the following study plans: