Theory of Neutron Slowing Down in Nuclear Reactors (eBook)

International Series of Monographs in Nuclear Energy

Joel H. Ferziger, P. F. Zweifel (Autoren)

J. V. Dunworth, D. J. Silverleaf (Herausgeber)

eBook Download: PDF

2013 | 1. Auflage
320 Seiten
Elsevier Science (Verlag)
978-1-4831-5499-2 (ISBN)

Infos

The Theory of Neutron Slowing Down in Nuclear Reactors focuses on one facet of nuclear reactor design: the slowing down (or moderation) of neutrons from the high energies with which they are born in fission to the energies at which they are ultimately absorbed. In conjunction with the study of neutron moderation, calculations of reactor criticality are presented. A mathematical description of the slowing-down process is given, with particular emphasis on the problems encountered in the design of thermal reactors. This volume is comprised of four chapters and begins by considering the problems of neutron moderation and their importance in all types of reactors. An asymptotic reactor model is described, and the calculation of the elastic scattering frequency is explained. Subsequent chapters focus on the process of slowing down in finite and infinite medium by analyzing capture by individual resonances; resonance integrals in heterogeneous systems; the slowing-down kernels; the spherical harmonics method; statistical methods; and small source theory. The final chapter presents numerical solutions of the Boltzmann equation and covers topics such as the multigroup approach, group constants, and solution of the multigroup equations. This book will be a useful resource for nuclear physicists and engineers.

Inhalt

Front Cover 1
The Theory of Neutron Slowing Down in Nuclear Reactors 4
Copyright Page 5
Table of Contents 8
PREFACE 10
CHAPTER 1. SLOWING DOWN AND REACTOR CRITICALITY 12
A. The Role of Slowing Down 12
B. The Mathematical Description of the Neutron Density in a Reactor 18
C. Asymptotic Reactor Theory 36
D. Calculation of the Elastic Scattering Frequency 55
E. Evaluation and Significance of the Transformation Matrices 68
CHAPTER 2. SLOWING DOWN IN AN INFINITE MEDIUM 75
A. Introductory Remarks 75
B. Slowing Down in Hydrogeneous Media 76
C. Slowing Down in Media Containing Heavy Elements: I. Non-absorbing Media 80
D. Slowing Down in Media Containing Heavy Elements: II. Absorbing Media 93
E. Capture by Individual Resonances 103
F. Calculation of Resonance Integrals 113
G. Resonance Integrals in Heterogeneous Systems 121
CHAPTER 3. SLOWING DOWN IN FINITE MEDIA 137
A. The Slowing-down Kernels 137
B. The Spherical Harmonics Method 143
C. The P1 Approximation 154
D. Methods Related to the PL Approximations 185
E. Other Approximations to the Boltzmann Equation 201
F. Statistical Methods 205
G. Small Source Theory 212
H. Comparison of Results with Experiment 216
CHAPTER 4. NUMERICAL SOLUTIONS OF THE BOLTZMANN EQUATION 223
A. The Multigroup Approach 223
B. Simple Applications of the Method 241
C. Group Constants 246
D. Solution of the Multigroup Equations 257
APPENDIX 287
APPENDIX A: TIME DEPENDENT ASYMPTOTIC REACTOR THEORY 287
APPENDIX B: VECTOR IDENTITIES 291
APPENDIX C: THE VALIDITY OF ASYMPTOTIC REACTOR THEORY 294
APPENDIX D: EXTENSIONS OF ASYMPTOTIC REACTOR THEORY 299
APPENDIX E: IMPROVEMENTS IN CRITICALITY CALCULATIONS 303
APPENDIX F: EQUIVALENCE OF THE BL AND PL APPROXIMATIONS 306
INDEX 310
OTHER TITLES IN THE SERIES 320

Produkt-Details

• Erscheint lt. Verlag: 22.10.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Technik
• ISBN-10: 1-4831-5499-8 / 1483154998
• ISBN-13: 978-1-4831-5499-2 / 9781483154992