Variational Methods in Nuclear Reactor Physics - 1st Edition - ISBN: 9780126620603, 9780323160438

Variational Methods in Nuclear Reactor Physics

1st Edition

Editors: Weston M. Jr. Stacey
eBook ISBN: 9780323160438
Imprint: Academic Press
Published Date: 1st January 1974
Page Count: 192
Tax/VAT will be calculated at check-out Price includes VAT (GST)
30% off
30% off
30% off
30% off
30% off
20% off
20% off
30% off
30% off
30% off
30% off
30% off
20% off
20% off
30% off
30% off
30% off
30% off
30% off
20% off
20% off
24.95
17.46
17.46
17.46
17.46
17.46
19.96
19.96
19.99
13.99
13.99
13.99
13.99
13.99
15.99
15.99
31.95
22.36
22.36
22.36
22.36
22.36
25.56
25.56
Unavailable
Price includes VAT (GST)
× DRM-Free

Easy - Download and start reading immediately. There’s no activation process to access eBooks; all eBooks are fully searchable, and enabled for copying, pasting, and printing.

Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.

Open - Buy once, receive and download all available eBook formats, including PDF, EPUB, and Mobi (for Kindle).

Institutional Access

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.

Description

Nuclear Science and Technology, Volume 10: Variational Methods in Nuclear Reactor Physics presents the mathematical methods of a variational origin that are useful in obtaining approximate solutions to science and engineering problems.

This book is composed of five chapters and begins with a discussion on the variation principles for physical systems described by both inhomogeneous and homogeneous equations to develop a generalized perturbation theory. Chapter 2 deals with the applications of variational estimates and generalized perturbation theory to neutron transport problems. Chapter 3 covers the variation principles of the Lagrangian form that are constructed for a general, linear- time-dependent process and for the specific case of the P1 neutron kinetics equations. Chapter 4 presents the general procedure for the variational derivation of synthesis approximations and their applications to problems in reactor physics. This chapter also examines the relationship of the spatial synthesis and finite-element method and a hybrid method that combines features of both methods. Chapter 5 describes the relationship of variation theory with the Hamilton-Jacobi theory and with the optimization theories of the maximum principle and dynamic programming. Nuclear physicists and researchers will find this text invaluable.

Table of Contents


Preface

Introduction

1. Variational Estimates and Perturbation Theory

1.1. Source Problems

1.2. Eigenvalue Problems

1.3. Generalized Perturbation Theory

1.4. Higher-Order Variational Principles

References

2. Applications of Variational Estimates and Generalized Perturbation Theory

2.1. Self-Shielding Factor for an Isolated Slab in a Diffusing Medium

2.2. Resonance Absorption of Neutrons

2.3. Reactivity Worths and Reaction Rate Ratios in Critical Nuclear Reactors

2.4. Nuclear Reactor Kinetics

2.5. Controlled Thermonuclear Reactor Blankets

2.6. Radiation Shielding

2.7. Heterogeneity Reactivity Effects in Nuclear Reactors

References

3. Variational Formulations

3.1. Linear, Time-Dependent Processes

3.2. P1 Multigroup Neutron Kinetics

3.3. Monoenergetic Neutron Transport Theory

3.4. Least Squares

References

4. Synthesis

4.1. Synthesis Approximations—General

4.2. Spatial Synthesis in Multigroup Neutron P1 Theory

4.3. Spectral Synthesis in Multigroup Neutron P1 Theory

4.4. Angular Synthesis in Monoenergetic Neutron Transport Theory

References

5. Variational Theory

5.1. Canonical and Involutory Transformations of Variational Principles

5.2. Transformations of the Variational Principles of Reactor Physics

5.3. Variational Field Theory

References

Appendix. Linear Function Spaces and Functionals

References

Index




Details

No. of pages:
192
Language:
English
Copyright:
© Academic Press 1974
Published:
Imprint:
Academic Press
eBook ISBN:
9780323160438

About the Editor

Weston M. Jr. Stacey