Mathematical Methods In Nuclear Reactor Dynamics

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Mathematical methods in Nuclear reactor Dynamics

Author : Ziya Akcasuh
Publisher : Elsevier
ISBN 13 : 0323149081
Total Pages : 473 pages
Book Rating : 4.3/5 (231 download)

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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.

Fractional Calculus with Applications for Nuclear Reactor Dynamics

Author : Santanu Saha Ray
Publisher : CRC Press
ISBN 13 : 149872728X
Total Pages : 232 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Fractional Calculus with Applications for Nuclear Reactor Dynamics by : Santanu Saha Ray

Download or read book Fractional Calculus with Applications for Nuclear Reactor Dynamics written by Santanu Saha Ray and published by CRC Press. This book was released on 2015-07-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces Novel Applications for Solving Neutron Transport EquationsWhile deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in numerous way

Mathematical Methods in Nuclear Reactor Dynamics [by] Ziya Akcasu, Gerald S. Lellouche [and] Louis M. Shotkin

Author : Ziya Akcasu
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.:/5 (976 download)

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Book Synopsis Mathematical Methods in Nuclear Reactor Dynamics [by] Ziya Akcasu, Gerald S. Lellouche [and] Louis M. Shotkin by : Ziya Akcasu

Download or read book Mathematical Methods in Nuclear Reactor Dynamics [by] Ziya Akcasu, Gerald S. Lellouche [and] Louis M. Shotkin written by Ziya Akcasu and published by . This book was released on 1971 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Nodal Method for Energy-space-time Nuclear Reactor Dynamics

Author : Thuy Trong Le
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Mathematical Nodal Method for Energy-space-time Nuclear Reactor Dynamics by : Thuy Trong Le

Download or read book Mathematical Nodal Method for Energy-space-time Nuclear Reactor Dynamics written by Thuy Trong Le and published by . This book was released on 1987 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods in Nuclear Reactor Physics

Author : Weston M. Jr. Stacey
Publisher : Elsevier
ISBN 13 : 0323160433
Total Pages : 192 pages
Book Rating : 4.3/5 (231 download)

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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.

Fractional-Order Models for Nuclear Reactor Analysis

Author : Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
ISBN 13 : 0128236663
Total Pages : 404 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Fractional-Order Models for Nuclear Reactor Analysis by : Gilberto Espinosa Paredes

Download or read book Fractional-Order Models for Nuclear Reactor Analysis written by Gilberto Espinosa Paredes and published by Woodhead Publishing. This book was released on 2020-10-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion processes in an accessible and practical way. The book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the importance of nuclear and thermohydraulic phenomena and the physical side effects of feedback. In addition, the book analyzes core issues in fractional modeling in nuclear reactors surrounding phenomenological description and important analytical sub-diffusive processes in the transport neutron. Users will find the most innovative modeling techniques of nuclear reactors using operator differentials of fractional order and applications in nuclear design and reactor dynamics. Proposed methods are tested with Boltzmann equations and non-linear order models alongside real data from nuclear power plants, making this a valuable resource for nuclear professionals, researchers and graduate students, as well as those working in nuclear research centers with expertise in mathematical modeling, physics and control. Presents and analyzes a new paradigm of nuclear reactor phenomena with fractional modeling Considers principles of fractional calculation, methods of solving differential equations of fractional order, and their applications Includes methodologies of linear and nonlinear analysis, along with design and dynamic analyses

Introductory Nuclear Reactor Dynamics

Author : Karl Otto Ott
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Introductory Nuclear Reactor Dynamics by : Karl Otto Ott

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.

A Nodal Method for Multigroup, Multidimensional Nuclear Reactor Dynamics with Thermal-hydraulics Feedback

Author : Thuy Trong Le
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis A Nodal Method for Multigroup, Multidimensional Nuclear Reactor Dynamics with Thermal-hydraulics Feedback by : Thuy Trong Le

Download or read book A Nodal Method for Multigroup, Multidimensional Nuclear Reactor Dynamics with Thermal-hydraulics Feedback written by Thuy Trong Le and published by . This book was released on 1990 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics and Control of Nuclear Reactors

Author : Thomas W. Kerlin
Publisher : Academic Press
ISBN 13 : 0128152621
Total Pages : 402 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Dynamics and Control of Nuclear Reactors by : Thomas W. Kerlin

Download or read book Dynamics and Control of Nuclear Reactors written by Thomas W. Kerlin and published by Academic Press. This book was released on 2019-10-05 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics and Control of Nuclear Reactors presents the latest knowledge and research in reactor dynamics, control and instrumentation; important factors in ensuring the safe and economic operation of nuclear power plants. This book provides current and future engineers with a single resource containing all relevant information, including detailed treatments on the modeling, simulation, operational features and dynamic characteristics of pressurized light-water reactors, boiling light-water reactors, pressurized heavy-water reactors and molten-salt reactors. It also provides pertinent, but less detailed information on small modular reactors, sodium fast reactors, and gas-cooled reactors. Provides case studies and examples to demonstrate learning through problem solving, including an analysis of accidents at Three Mile Island, Chernobyl and Fukushima Daiichi Includes MATLAB codes to enable the reader to apply the knowledge gained to their own projects and research Features examples and problems that illustrate the principles of dynamic analysis as well as the mathematical tools necessary to understand and apply the analysis Publishers Note: Table 3.1 has been revised and will be included in future printings of the book with the following data: Group Decay Constant, li (sec-1) Delayed Neutron Fraction (bi) 1 0.0124 0.000221 2 0.0305 0.001467 3 0.111 0.001313 4 0.301 0.002647 5 1.14 0.000771 6 3.01 0.000281 Total delayed neutron fraction: 0.0067

Mathematical Methods in Pile Calculations

Author : Henry Hurwitz
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods in Pile Calculations by : Henry Hurwitz

Download or read book Mathematical Methods in Pile Calculations written by Henry Hurwitz and published by . This book was released on 1950 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling of Nuclear Reactor Multi-physics

Author : Christophe Demazière
Publisher : Academic Press
ISBN 13 : 012815070X
Total Pages : 370 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Modelling of Nuclear Reactor Multi-physics by : Christophe Demazière

Download or read book Modelling of Nuclear Reactor Multi-physics written by Christophe Demazière and published by Academic Press. This book was released on 2019-11-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling of Nuclear Reactor Multiphysics: From Local Balance Equations to Macroscopic Models in Neutronics and Thermal-Hydraulics is an accessible guide to the advanced methods used to model nuclear reactor systems. The book addresses the frontier discipline of neutronic/thermal-hydraulic modelling of nuclear reactor cores, presenting the main techniques in a generic manner and for practical reactor calculations.The modelling of nuclear reactor systems is one of the most challenging tasks in complex system modelling, due to the many different scales and intertwined physical phenomena involved. The nuclear industry as well as the research institutes and universities heavily rely on the use of complex numerical codes. All the commercial codes are based on using different numerical tools for resolving the various physical fields, and to some extent the different scales, whereas the latest research platforms attempt to adopt a more integrated approach in resolving multiple scales and fields of physics. The book presents the main algorithms used in such codes for neutronic and thermal-hydraulic modelling, providing the details of the underlying methods, together with their assumptions and limitations. Because of the rapidly expanding use of coupled calculations for performing safety analyses, the analysists should be equally knowledgeable in all fields (i.e. neutron transport, fluid dynamics, heat transfer).The first chapter introduces the book’s subject matter and explains how to use its digital resources and interactive features. The following chapter derives the governing equations for neutron transport, fluid transport, and heat transfer, so that readers not familiar with any of these fields can comprehend the book without difficulty. The book thereafter examines the peculiarities of nuclear reactor systems and provides an overview of the relevant modelling strategies. Computational methods for neutron transport, first at the cell and assembly levels, then at the core level, and for one-/two-phase flow transport and heat transfer are treated in depth in respective chapters. The coupling between neutron transport solvers and thermal-hydraulic solvers for coarse mesh macroscopic models is given particular attention in a dedicated chapter. The final chapter summarizes the main techniques presented in the book and their interrelation, then explores beyond state-of-the-art modelling techniques relying on more integrated approaches. Covers neutron transport, fluid dynamics, and heat transfer, and their interdependence, in one reference Analyses the emerging area of multi-physics and multi-scale reactor modelling Contains 71 short videos explaining the key concepts and 77 interactive quizzes allowing the readers to test their understanding

Optimal Control of Distributed Nuclear Reactors

Author : G.S. Christensen
Publisher : Springer
ISBN 13 : 9781489936042
Total Pages : 236 pages
Book Rating : 4.9/5 (36 download)

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Book Synopsis Optimal Control of Distributed Nuclear Reactors by : G.S. Christensen

Download or read book Optimal Control of Distributed Nuclear Reactors written by G.S. Christensen and published by Springer. This book was released on 2013-09-27 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical optimization theory and modeling techniques that recently have been applied to the problem of controlling the shape and intensity of the power density distribution in the core of large nuclear reactors. The book has been prepared with the following purposes in mind: 1. To provide, in a condensed manner, the background preparation on reactor kinetics required for a comprehensive description of the main problems encountered in designing spatial control systems for nuclear reactor cores. 2. To present the work that has already been done on this subject and provide the basic mathematical tools required for a full understand ing of the different methods proposed in the literature. 3. To stimulate further work in this challenging area by weighting the advantages and disadvantages of the existing techniques and evaluating their effectiveness and applicability. In addition to coverage of the standard topics on the subject of optimal control for distributed parametersystems, the book includes, at amathemati cal level suitable for graduate students in engineering, discussions of con ceptsoffunctional analysis, the representation theory ofgroups, and integral equations. Although these topics constitute a requisite for a full understanding of the new developments in the area of reactor modeling and control, they are seidom treated together in a single book and, when they are, their presenta tion isoften directed to the mathematician.They are thus relatively unknown to the engineering community.

Mathematical Methods in Nuclear-reactor Thermal Hydraulics

Author : D. Brian Spalding
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (248 download)

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Book Synopsis Mathematical Methods in Nuclear-reactor Thermal Hydraulics by : D. Brian Spalding

Download or read book Mathematical Methods in Nuclear-reactor Thermal Hydraulics written by D. Brian Spalding and published by . This book was released on 1980 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Reactor Physics

Author : Weston M. Stacey
Publisher : John Wiley & Sons
ISBN 13 : 352781230X
Total Pages : 766 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Nuclear Reactor Physics by : Weston M. Stacey

Download or read book Nuclear Reactor Physics written by Weston M. Stacey and published by John Wiley & Sons. This book was released on 2018-02-07 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third, revised edition of this popular textbook and reference, which has been translated into Russian and Chinese, expands the comprehensive and balanced coverage of nuclear reactor physics to include recent advances in understanding of this topic. The first part of the book covers basic reactor physics, including, but not limited to nuclear reaction data, neutron diffusion theory, reactor criticality and dynamics, neutron energy distribution, fuel burnup, reactor types and reactor safety. The second part then deals with such physically and mathematically more advanced topics as neutron transport theory, neutron slowing down, resonance absorption, neutron thermalization, perturbation and variational methods, homogenization, nodal and synthesis methods, and space-time neutron dynamics. For ease of reference, the detailed appendices contain nuclear data, useful mathematical formulas, an overview of special functions as well as introductions to matrix algebra and Laplace transforms. With its focus on conveying the in-depth knowledge needed by advanced student and professional nuclear engineers, this text is ideal for use in numerous courses and for self-study by professionals in basic nuclear reactor physics, advanced nuclear reactor physics, neutron transport theory, nuclear reactor dynamics and stability, nuclear reactor fuel cycle physics and other important topics in the field of nuclear reactor physics.

Numerical Methods of Reactor Analysis

Author : Melville Clark
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Methods of Reactor Analysis by : Melville Clark

Download or read book Numerical Methods of Reactor Analysis written by Melville Clark and published by . This book was released on 1964 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Reactor Kinetics and Control

Author : Jeffery Lewins
Publisher : Elsevier
ISBN 13 : 1483278751
Total Pages : 282 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nuclear Reactor Kinetics and Control by : Jeffery Lewins

Download or read book Nuclear Reactor Kinetics and Control written by Jeffery Lewins and published by Elsevier. This book was released on 2013-10-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Reactor Kinetics and Control highlights the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor. This book contains nine chapters and begins with an introduction to some important mathematical theories related to nuclear engineering, such as the Laplace and Fourier transforms, linear system stability, and the probability theory. The succeeding chapters deal with the frequency space of classical linear design. A chapter describes a stochastic model for the “lumped reactor and presents equations that measure the departure from the mean, as well as representative experiments or applications of the theory to neutron detection. The discussion then shifts to the aspects of reliability and its consequences for safety of nuclear reactors and some techniques for nonlinear studies centered on the use of the state space and its equations in the time domain. The final chapter introduces the modern electric analogue computer and derives the patching or programming rules that can be use to find solutions to problems of interest using the analogous behavior of electric circuits. This chapter also provide examples of intrinsic interest in nuclear engineering showing the programming involved and typical results, including the slower transients of xenon poisoning and fuel burn-up. This book is intended for nuclear engineers, physicists, applied mathematicians, and nuclear engineering undergraduate and postgraduate students.

Dynamics and Control in Nuclear Power Stations

Author : British Nuclear Energy Society
Publisher : Thomas Telford
ISBN 13 : 9780727716613
Total Pages : 214 pages
Book Rating : 4.7/5 (166 download)

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Book Synopsis Dynamics and Control in Nuclear Power Stations by : British Nuclear Energy Society

Download or read book Dynamics and Control in Nuclear Power Stations written by British Nuclear Energy Society and published by Thomas Telford. This book was released on 1992 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wider view of the aspects of control of nuclear power stations by taking into consideration the plant as a whole and the protection systems employed therein. Authors with world-wide experience consider all the aspects of dynamics and control in the context of both fast and thermal power stations. The topics discussed include both the methods of development and applications within - analysis of plant behaviour, validation of mathematical models, plant testing, design and implementation of controls.