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Author : Jack Chernick
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Review of Nonlinear Reactor Dynamics Problems written by Jack Chernick and published by . This book was released on 1962 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mahmoud Ahmad Salehi
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.:/5 (29 download)
Download or read book Analysis of Non-linear Feedback in Space-time Reactor Dynamics by Finite-element Methods written by Mahmoud Ahmad Salehi and published by . This book was released on 1983 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jack Chernick
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.3/5 (91 download)
Download or read book Jack Chernick, 1911-1971 written by Jack Chernick and published by . This book was released on 1973 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ziya Akcasuh
Publisher : Elsevier
ISBN 13 : 0323149081
Total Pages : 473 pages
Book Rating : 4.3/5 (231 download)
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.
Author : Richard Allen Olsen
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (64 download)
Download or read book Effective Methods for Solution of Nonlinear Reactor Dynamics Problems Using Finite Elements written by Richard Allen Olsen and published by . This book was released on 1975 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solution of the nonlinear two-dimensional reactor dynamics equation subjected to prompt feedback conditions using the finite element technique leads to a matrix formulation. The task of this thesis is the development of computational techniques which allow the problem to be solved for large systems. Specifically, these techniques are: (1) the treatment of the nonlinearity on the element level, (2) the compacting of the sparce matrices to include only non-zero terms, and (3) the construction of a new computer code based on the Crank-Nicolson formulation for the solution of differential equations. To support the theory presented, test problems were solved by the original method, the linearized technique, and the Crank-Nicolson treatment. The results were analyzed and compared graphically. All three of the innovations developed in this thesis appear to be useful tools for solving nonlinear time dependent differential equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
Download or read book Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback written by and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the three-dimensional dynamic response of a nonlinear fast reactor with temperature-dependent feedback and delayed neutrons when subjected to uniform and local disturbances. The finite element method was employed to reduce the partial differential reactor equation to a system of ordinary differential equations which can be numerically integrated. A program for the numerical solution of large sparse systems of stiff differential equations developed by Franke and based on Gear's method solved the reduced neutron dynamics equation. Although a study of convergence by refining element mesh sizes was not carried out, the crude finite element mesh utilized yielded the correct trend of neutron dynamic behavior. (Author).
Author :
Publisher :
ISBN 13 :
Total Pages : 1124 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eulogio Conception Bermudes
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (227 download)
Download or read book Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback written by Eulogio Conception Bermudes and published by . This book was released on 1976 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the three-dimensional dynamic response of a nonlinear fast reactor with temperature-dependent feedback and delayed neutrons when subjected to uniform and local disturbances. The finite element method was employed to reduce the partial differential reactor equation to a system of ordinary differential equations which can be numerically integrated. A program for the numerical solution of large sparse systems of stiff differential equations developed by Franke and based on Gear's method solved the reduced neutron dynamics equation. Although a study of convergence by refining element mesh sizes was not carried out, the crude finite element mesh utilized yielded the correct trend of neutron dynamic behavior. (Author).
Author :
Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.:/5 (31 download)
Download or read book Reactor Technology written by and published by . This book was released on with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yousry Azmy
Publisher : Springer Science & Business Media
ISBN 13 : 9048134110
Total Pages : 476 pages
Book Rating : 4.0/5 (481 download)
Download or read book Nuclear Computational Science written by Yousry Azmy and published by Springer Science & Business Media. This book was released on 2010-04-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown. Nuclear Computational Science: A Century in Review addresses these topics and many more; topics which hold special ties to the first half of the century, and topics focused around the unique combination of nuclear engineering, computational science and mathematical theory. Comprising eight chapters, Nuclear Computational Science: A Century in Review incorporates a number of carefully selected issues representing a variety of problems, providing the reader with a wealth of information in both a clear and concise manner. The comprehensive nature of the coverage and the stature of the contributing authors combine to make this a unique landmark publication. Targeting the medium to advanced level academic, this book will appeal to researchers and students with an interest in the progression of mathematical theory and its application to nuclear computational science.
Author :
Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.:/5 (334 download)
Download or read book Power Reactor Technology written by and published by . This book was released on 1963 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph Carroll Sheldrick
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Comparison of Integration Methods for the Solution of Nonlinear Reactor Dynamics Problems Through the Use of Finite Elements written by Ralph Carroll Sheldrick and published by . This book was released on 1976 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comparison of numerical methods utilized by the finite element technique for solving a nonlinear nuclear reactor dynamics problem was conducted. Using the Crank-Nicolson, DVOGER (Gear) and Implicit Gear methods, the results showed the Implicit to be the superior method investigated. This is based on the fact that all three methods yielded the same steady state solutions; but, the Implicit Gear method used significantly less CPU time and comparable storage to Crank-Nicolson. This was particularly apparent as the degrees of freedom were increased. In addition, the transient solution in all cases was better than that obtained in Crank-Nicolson and compared favorably to that of Gear's method.
Author :
Publisher :
ISBN 13 :
Total Pages : 548 pages
Book Rating : 4.X/5 (2 download)
Download or read book Power Reactor Technology and Reactor Fuel Processing written by and published by . This book was released on 1964 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reactor and Fuel-processing Technology written by and published by . This book was released on 1967 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Otto Ott
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.:/5 (5 download)
Download or read book Introductory Nuclear Reactor Dynamics written by Karl Otto Ott and published by . This book was released on 1985 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the theory and methods of prediction that are the heart of nuclear reactor safety. Time-dependent reactor behavior is explained in both mathematical and physical terms. This book also explains the logic behind the working formulas and calculational methods for reactor transients and illustrates typical dynamic responses. The classical concept of point kinetics is developed in three steps, with discussion of various solutions to kinetics problems. Each chapter includes homework problems and review questions.
Author : Vishwesh Vyawahare
Publisher : Springer
ISBN 13 : 9811075875
Total Pages : 210 pages
Book Rating : 4.8/5 (11 download)
Download or read book Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models written by Vishwesh Vyawahare and published by Springer. This book was released on 2018-02-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.
Author :
Publisher :
ISBN 13 :
Total Pages : 1166 pages
Book Rating : 4.:/5 (318 download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
