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Methods Of Determining Oscillations And Linear Stability Of A Nuclear Reactor Using Space Dependent Kinetics
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Book Synopsis Methods of Determining Oscillations and Linear Stability of a Nuclear Reactor Using Space Dependent Kinetics by : Kenneth A. Solomon
Download or read book Methods of Determining Oscillations and Linear Stability of a Nuclear Reactor Using Space Dependent Kinetics written by Kenneth A. Solomon and published by . This book was released on 1971 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical methods in Nuclear reactor Dynamics by : Ziya Akcasuh
Download or read book Mathematical methods in Nuclear reactor Dynamics written by Ziya Akcasuh and published by Elsevier. This book was released on 2012-12-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven chapters. The opening chapter of the book describes various physical phenomena influencing the temporal behavior of neutrons to provide insights into the physics of reactor dynamics and the interrelationships between various diverse phenomena. The text then presents a set of equations, called point kinetic equation, which describes the time behavior of the total power generated in the medium. The book also provides a short discussion on Gyftopoulos modification and Becker’s formulation. The next chapters explore the exact methods for solving the feedback-free point kinetic equations for a number of reactivity insertions and the validity of the various approximate methods of solution. The book also examines the derivation of models for a certain reactor type and briefly discusses the validity of these models in certain cases against experimental data. A chapter focuses on a concise presentation of the stability theory of linear systems with feedback. Lastly, the concepts of stability in nonlinear reactor systems and the criteria for asymptotic stability in the large as well as in a finite domain of initial disturbances are covered in the concluding chapter. The text is an ideal source for nuclear engineers and for those who have adequate background in reactor physics and operational and applied mathematics.
Book Synopsis Stability Analysis of Non-linear Space Dependent Reactor Kinetics by : W. E. Kastenberg
Download or read book Stability Analysis of Non-linear Space Dependent Reactor Kinetics written by W. E. Kastenberg and published by . This book was released on 1966 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Space-time Nuclear Reactor Kinetics by : Weston M. Stacey
Download or read book Space-time Nuclear Reactor Kinetics written by Weston M. Stacey and published by . This book was released on 1969 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control and Stability Analysis of Spatially-dependent Nuclear Reactor Systems by : Chun Hsu
Download or read book Control and Stability Analysis of Spatially-dependent Nuclear Reactor Systems written by Chun Hsu and published by . This book was released on 1967 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reactor Kinetics Measurements in Homogeneous, Stationary, Linear Extended Systems by : M. N. Moore
Download or read book Reactor Kinetics Measurements in Homogeneous, Stationary, Linear Extended Systems written by M. N. Moore and published by . This book was released on 1964 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Kinetics, Stability, and Control by : R. L. Johnson
Download or read book Kinetics, Stability, and Control written by R. L. Johnson and published by . This book was released on 1963 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974-03 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational Methods in Nuclear Reactor Physics by : Weston M. Jr. Stacey
Download or read book Variational Methods in Nuclear Reactor Physics written by Weston M. Jr. Stacey and published by Elsevier. This book was released on 2012-12-02 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Role of the Adjoint Flux in Determining Reactor Stability by : Richard Harry Jason
Download or read book The Role of the Adjoint Flux in Determining Reactor Stability written by Richard Harry Jason and published by . This book was released on 1966 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1971 with total page 1330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics of Nuclear Systems by : David L. Hetrick
Download or read book Dynamics of Nuclear Systems written by David L. Hetrick and published by . This book was released on 1972 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Masters Theses and Doctoral Dissertations in the Pure and Applied Sciences Accepted by Colleges and Universities of the United States by :
Download or read book Masters Theses and Doctoral Dissertations in the Pure and Applied Sciences Accepted by Colleges and Universities of the United States written by and published by . This book was released on 1971 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Oscillations and Stability Bounds in a Nuclear Reactor with Linear Reactivity Feedback by : Samuel Yee
Download or read book Nonlinear Oscillations and Stability Bounds in a Nuclear Reactor with Linear Reactivity Feedback written by Samuel Yee and published by . This book was released on 1971 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution of the Space-dependent Reactor Kinetics Equations in Three Dimensions by : Donald Ross Ferguson
Download or read book Solution of the Space-dependent Reactor Kinetics Equations in Three Dimensions written by Donald Ross Ferguson and published by . This book was released on 1971 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general class of two-step alternating-direction semi-implicit methods is proposed for the approximate solution of the semi-discrete form of the space-dependent reactor kinetics equations. An exponential transformation of the semi-discrete equations is described which has been found to significantly reduce the truncation error when several alternating-direction semi-implicit methods are applied to the transformed equations. A subset of this class is shown to be a consistent approximation to the differential equations and to be numerically stable. Specific members of this subset are compared in one- and two-dimensional numerical experiments. An "optimum" method, termed the NSADE (Non-Symmetric Alternating-Direction Explicit) method is extended to three-dimensional geometries. Subsequent three-dimensional numerical experiments confirm the truncation error, accuracy, and stability properties of this method.
Book Synopsis Master's Theses and Doctoral Dissertations in the Pure and Applied Sciences by :
Download or read book Master's Theses and Doctoral Dissertations in the Pure and Applied Sciences written by and published by . This book was released on 1972 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: