Advances in Nuclear Science and Technology

Advances in Nuclear Science and Technology

Volume 5

1st Edition - January 1, 1969

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  • Editors: Ernest J. Henley, Jeffery Lewins
  • eBook ISBN: 9781483215624

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Advances in Nuclear Science and Technology, Volume 5 presents the underlying principles and theory, as well as the practical applications of the advances in the nuclear field. This book reviews the specialized applications to such fields as space propulsion. Organized into six chapters, this volume begins with an overview of the design and objective of the Fast Flux Test Facility to provide fast flux irradiation testing facilities. This text then examines the problem in the design of nuclear reactors, which is the analysis of the spatial and temporal behavior of the neutron and temperature distributions within the system. Other chapters consider the three major ways of estimating shield effectiveness. This book discusses as well the purpose of variational principle, which is a characterization of a function as the stationary point of an appropriate functional. The final chapter deals with the solution of the Boltzmann transport equation. This book is a valuable resource for engineers.

Table of Contents

  • Contributors


    Contents of Previous Volumes

    Objectives and Design of the Fast Flux Facility

    I. Introduction

    II. Objectives of the FFTF

    III. FTR Nuclear Design Aspects

    IV. FTR Mechanical Design Aspects

    V. Fuel and Test Element Handling

    VI. Present Status and Future Programs


    Stability Analysis of Nonlinear Space Dependent Reactor Kinetics

    I. Introduction

    II. The Space-Time Kinetics Equations

    III. Notation, Definitions, and Preliminaries

    IV. Mathematical Considerations

    V. Stability Techniques for Distributed Parameter Systems

    VI. Examples and Applications to Various Feedback Models

    VII. Conclusions


    Methods and Data for Reactor Shield Calculations

    I. Introduction

    II. Spherical Harmonics Expansion and Related Methods

    III. Discrete Ordinates (SN)

    IV. Removal Cross Section

    V. Transport-Slowing Down

    VI. Multigroups Calculations

    VII. The Moments Method

    VIII. Gamma-Ray Buildup Factors

    IX. Neutron Attenuation Curves for Fission Sources

    X. Geometric Transformations

    XI. Monte Carlo

    XII. Albedo

    XIII. Ducts and Voids

    XIV. Secondary Gamma-Ray Dose


    Variational Methods in Nuclear Engineering

    I. Introduction

    II. What Is a Variational Principle?

    III. The Equations of Euler

    IV. Finding the Variational Problem

    V. Variational Problems with Constraints

    VI. The Method of Lewins and Pomraning

    VII. Rayleigh-Ritz and Weighted Residual Methods

    VIII. Discontinuous Approximations

    IX. Extending the Domain

    X. Canonical and Involutory Transformations of Variational Problems

    XI. Bellman’s Approach

    XII. Transformation of Problems with Many Operators

    XIII. Discussion

    XIV. Extension of Canonical Principles—Use in Deriving Difference Equations

    XV. Conclusion


    Nuclear Power for Space Applications

    I. Introduction

    II. Principal Isotope Systems

    III. Principal Reactor Systems

    IV. Other Systems

    V. Radiators

    VI. Concluding Remarks


    A Round-Off Free Solution of the Boltzmann Transport Equation in Slab Geometry

    I. Introduction

    II. A Brief Survey of Methods Employed for the Solution of the Transport Equation in Slab Geometry

    III. Transformation of the Monoenergetic Transport Equation

    IV. An Example of Round-Off Error

    V. A Round-Off Free Solution for the Monoenergetic One-Velocity Single-Region Transport Equation

    VI. The Monoenergetic Distributed Source Problem

    VII. The Multiregion Solution of the Slab Problem

    VIII. Energy Dependence : The Slowing Down

    IX. Applications of the Round-Off Free Solution

    Appendix A

    Appendix B. The Inverse of (MW)


    Author Index

    Subject Index

Product details

  • No. of pages: 396
  • Language: English
  • Copyright: © Academic Press 1969
  • Published: January 1, 1969
  • Imprint: Academic Press
  • eBook ISBN: 9781483215624

About the Editors

Ernest J. Henley

Jeffery Lewins

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