Application of Invariant Embedding to Reactor Physics
- 1st Edition - January 1, 1972
- Imprint: Academic Press
- Authors: Akinao Shimizu, Katsutada Aoki
- Editor: V. L. Parsegian
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 6 5 6 - 7
- Hardback ISBN:9 7 8 - 0 - 1 2 - 6 4 0 1 5 0 - 9
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 8 3 4 - 7
Application of Invariant Embedding to Reactor Physics describes the application of the method of invariant embedding to radiation shielding and to criticality calculations of… Read more
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Request a sales quoteApplication of Invariant Embedding to Reactor Physics describes the application of the method of invariant embedding to radiation shielding and to criticality calculations of atomic reactors. The authors intend to show how this method has been applied to realistic problems, together with the results of applications which will be useful to shielding design. The book is organized into two parts. Part A deals with the reflection and transmission of gamma rays by slabs. The chapters in this section cover topics such as the reflection and transmission problem of gamma rays; formulation of the problem based on the invariant embedding principle; solutions of equations for simplified models; and solving the equations for the reflection and transmission functions based on the realistic cross section for gamma rays. Part B discusses applications to criticality calculations, covering one-dimensional and two-dimensional problems.
PrefacePart A: Reflection and Transmission of Gamma Rays by Slabs Chapter One Introduction 1.1 Statement of the Problem 1.2 The Interaction of Gamma Rays with Matter 1.3 Classical Approach 1.4 Invariant Embedding Approach 1.5 Differences between Boltzmann Approach and Invariant Embedding Approach Chapter Two Formulation of the Problem Based on the Invariant Embedding Principle 2.1 Derivation of Basic Equations 2.2 Reflection Function for a Semi-Infinite Medium and the Modified Transmission Functions Chapter Three Solutions of Equations for Simplified Models 3.1 One Group Approximation 3.2 Reflection and Transmission of Monoenergetic Photons by an Isotropically Scattering Medium Chapter Four Method of Numerical Solutions 4.1 Derivation of Equations for Numerical Solutions 4.2 Method for Solution of Numerical Equations 4.3 Accuracy of Numerical Solutions Chapter Five Reflection and Transmission of Gamma Rays 5.1 Reflection by Semi-Infinite Media 5.2 Transmission through Homogeneous Slabs 5.3 Transmission through Multilayer Slabs ReferencesPart Β: Application to Criticality Calculations Chapter Six Introduction 6.1 Introduction to Criticality Calculations 6.2 Classical Approach 6.3 Invariant Embedding Approach Chapter Seven One-dimensional Problem 7.1 Direct Application of Invariant Embedding to Criticality Calculations 7.2 Modification of Invariant Embedding Method 7.3 Calculation of Response Matrices 7.4 Criticality Calculation 7.5 Examples of Criticality Calculations Chapter Eight Two-dimensional Problem 8.1 Introduction 8.2 Definitions of Two-dimensional Response Matrices 8.3 Calculation of Response Matrices 8.4 Criticality Calculation 8.5 Examples of Criticality Calculations 8.6 Application to the Burnup CalculationAppendix A Time-Dependent Problem A.1 Time-Dependent Response Matrices A.2 Law of Synthesis A.3 Periods of a Slab A.4 Periods of a Reactor A.5 Rigorous Treatment of a Noncritical Reactor A.6 Approximate Relation between λ and ω A.7 Calculation of R̄(s) and T̄(s)Appendix Β R̄ and Τ̄ Using Two-Group Diffusion Approximation B.1 The Case k∞ ≥ 1 B.2 The Case 0 < k∞ < 1 B.3 The Case k∞ = 0ReferencesAuthor IndexSubject Index
- Edition: 1
- Published: January 1, 1972
- No. of pages (eBook): 194
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483246567
- Hardback ISBN: 9780126401509
- eBook ISBN: 9781483268347
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