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Fractional Order Models For Nuclear Reactor Analysis

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Fractional Order Models for Nuclear Reactor Analysis

Fractional Order Models for Nuclear Reactor Analysis Book
Author : Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
Release : 2020-10-27
ISBN : 0128236663
Language : En, Es, Fr & De

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Book Description :

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

Fractional order Modeling of Nuclear Reactor From Subdiffusive Neutron Transport to Control oriented Models

Fractional order Modeling of Nuclear Reactor  From Subdiffusive Neutron Transport to Control oriented Models Book
Author : Vishwesh Vyawahare,Paluri S. V. Nataraj
Publisher : Springer
Release : 2018-02-03
ISBN : 9811075875
Language : En, Es, Fr & De

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Book Description :

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.

Simulation and Modeling Methodologies Technologies and Applications

Simulation and Modeling Methodologies  Technologies and Applications Book
Author : Mohammad S. Obaidat,Tuncer Ören,Janusz Kacprzyk,Joaquim Filipe
Publisher : Springer
Release : 2016-01-14
ISBN : 3319264702
Language : En, Es, Fr & De

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Book Description :

The present book includes a set of selected extended papers from the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2014), held in Vienna, Austria, from 28 to 30 August 2014. The conference brought together researchers, engineers and practitioners interested in methodologies and applications of modeling and simulation. New and innovative solutions are reported in this book. SIMULTECH 2014 received 167 submissions, from 45 countries, in all continents. After a double blind paper review performed by the Program Committee, 23% were accepted as full papers and thus selected for oral presentation. Additional papers were accepted as short papers and posters. A further selection was made after the Conference, based also on the assessment of presentation quality and audience interest, so that this book includes the extended and revised versions of the very best papers of SIMULTECH 2014. Commitment to high quality standards is a major concern of SIMULTECH that will be maintained in the next editions, considering not only the stringent paper acceptance ratios but also the quality of the program committee, keynote lectures, participation level and logistics.

Fractional Calculus

Fractional Calculus Book
Author : Varsha Daftardar-Gejji
Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
Release : 2013-07-26
ISBN : 8184874782
Language : En, Es, Fr & De

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Book Description :

FRACTIONAL CALCULUS: Theory and Applications deals with differentiation and integration of arbitrary order. The origin of this subject can be traced back to the end of seventeenth century, the time when Newton and Leibniz developed foundations of differential and integral calculus. Nonetheless, utility and applicability of FC to various branches of science and engineering have been realized only in last few decades. Recent years have witnessed tremendous upsurge in research activities related to the applications of FC in modeling of real-world systems. Unlike the derivatives of integral order, the non-local nature of fractional derivatives correctly models many natural phenomena containing long memory and give more accurate description than their integer counterparts.The present book comprises of contributions from academicians and leading researchers and gives a panoramic overview of various aspects of this subject: Introduction to Fractional Calculus Fractional Differential Equations Fractional Ordered Dynamical Systems Fractional Operators on Fractals Local Fractional Derivatives Fractional Control Systems Fractional Operators and Statistical Distributions Applications to Engineering

Fractional Calculus with Applications for Nuclear Reactor Dynamics

Fractional Calculus with Applications for Nuclear Reactor Dynamics Book
Author : Santanu Saha Ray
Publisher : CRC Press
Release : 2015-07-29
ISBN : 149872728X
Language : En, Es, Fr & De

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Book Description :

Introduces Novel Applications for Solving Neutron Transport Equations While 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 ways. Since fractional calculus represents a reactor more closely than classical integer order calculus, Fractional Calculus with Applications for Nuclear Reactor Dynamics focuses on the application of fractional calculus to describe the physical behavior of nuclear reactors. It applies fractional calculus to incorporate the mathematical methods used to analyze the diffusion theory model of neutron transport and explains the role of neutron transport in reactor theory. The author discusses fractional calculus and the numerical solution for fractional neutron point kinetic equation (FNPKE), introduces the technique for efficient and accurate numerical computation for FNPKE with different values of reactivity, and analyzes the fractional neutron point kinetic (FNPK) model for the dynamic behavior of neutron motion. The book begins with an overview of nuclear reactors, explains how nuclear energy is extracted from reactors, and explores the behavior of neutron density using reactivity functions. It also demonstrates the applicability of the Haar wavelet method and introduces the neutron diffusion concept to aid readers in understanding the complex behavior of average neutron motion. This text: Applies the effective analytical and numerical methods to obtain the solution for the NDE Determines the numerical solution for one-group delayed neutron FNPKE by the explicit finite difference method Provides the numerical solution for classical as well as fractional neutron point kinetic equations Proposes the Haar wavelet operational method (HWOM) to obtain the numerical approximate solution of the neutron point kinetic equation, and more Fractional Calculus with Applications for Nuclear Reactor Dynamics thoroughly and systematically presents the concepts of fractional calculus and emphasizes the relevance of its application to the nuclear reactor.

Nonlinear Differential Equations in Physics

Nonlinear Differential Equations in Physics Book
Author : Santanu Saha Ray
Publisher : Springer Nature
Release : 2019-12-28
ISBN : 9811516561
Language : En, Es, Fr & De

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Book Description :

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation. Many of the methods discussed are analytical–numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution procedure based on Haar wavelets and the operational matrices with function approximation. The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler–Maruyama, and order 1.5 strong Taylor methods, are also discussed.

Nuclear reactor Analysis

Nuclear reactor Analysis Book
Author : Allan F. Henry,Henry Allan F
Publisher : MIT Press (MA)
Release : 1975
ISBN :
Language : En, Es, Fr & De

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Book Description :

Trends in Advanced Intelligent Control Optimization and Automation

Trends in Advanced Intelligent Control  Optimization and Automation Book
Author : Wojciech Mitkowski,Janusz Kacprzyk,Krzysztof Oprzędkiewicz,Paweł Skruch
Publisher : Springer
Release : 2017-06-06
ISBN : 3319606999
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings of the KKA 2017 – the 19th Polish Control Conference, organized by the Department of Automatics and Biomedical Engineering, AGH University of Science and Technology in Kraków, Poland on June 18–21, 2017, under the auspices of the Committee on Automatic Control and Robotics of the Polish Academy of Sciences, and the Commission for Engineering Sciences of the Polish Academy of Arts and Sciences. Part 1 deals with general issues of modeling and control, notably flow modeling and control, sliding mode, predictive, dual, etc. control. In turn, Part 2 focuses on optimization, estimation and prediction for control. Part 3 is concerned with autonomous vehicles, while Part 4 addresses applications. Part 5 discusses computer methods in control, and Part 6 examines fractional order calculus in the modeling and control of dynamic systems. Part 7 focuses on modern robotics. Part 8 deals with modeling and identification, while Part 9 deals with problems related to security, fault detection and diagnostics. Part 10 explores intelligent systems in automatic control, and Part 11 discusses the use of control tools and techniques in biomedical engineering. Lastly, Part 12 considers engineering education and teaching with regard to automatic control and robotics.

Book of Abstracts

Book of Abstracts Book
Author : Institution of Chemical Engineers, The
Publisher :
Release : 2005
ISBN :
Language : En, Es, Fr & De

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Book Description :

CD-ROM contains conference manuscripts.

Product Engineering

Product Engineering Book
Author : N.A
Publisher :
Release : 1957
ISBN :
Language : En, Es, Fr & De

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Book Description :

Vol. for 1955 includes an issue with title Product design handbook issue; 1956, Product design digest issue; 1957, Design digest issue.

Reactor Analysis

Reactor Analysis Book
Author : Robert Vartan Meghreblian,David K. Holmes
Publisher :
Release : 1960
ISBN :
Language : En, Es, Fr & De

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Book Description :

INIS Atomindex

INIS Atomindex Book
Author : N.A
Publisher :
Release : 1987
ISBN :
Language : En, Es, Fr & De

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Book Description :

Energy Development

Energy Development Book
Author : Qun Jie Xu,Yong Guang Li,Xiu Yang
Publisher : Trans Tech Publications Ltd
Release : 2013-12-13
ISBN : 3038263532
Language : En, Es, Fr & De

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Book Description :

Collection of selected, peer reviewed papers from the 3rd International Conference on Energy, Environment and Sustainable Development (EESD 2013), November 12-12, 2013, Shanghai, China. The 596 papers are grouped as follows: Chapter 1: Development and Utilization of Solar Energy; Chapter 2: Development and Utilization of Wind Energy; Chapter 3: Development and Utilization of Biomass Energy; Chapter 4: Energy Storage Technology; Chapter 5: ?nergy ?onsumption and Energy-Saving Technology; Chapter 6: Hydrogen and Fuel Cell; Chapter 7: Energy Materials; Chapter 8: Energy Chemical Engineering; Chapter 9: New Energy Vehicles and Electric Vehicles; Chapter 10: Green Building Materials and Energy-saving Buildings; Chapter 11: Engineering Thermophysics; Chapter 12: Thermal Engineering; Chapter 13: Fluid Engineering and Machinery; Chapter 14: HVAC, Air Conditioning and Refrigeration; Chapter 15: Power Machinery and Engineering: Chapter 16: Power System and Automation; Chapter 17: High Voltage and Insulation Technology; Chapter 18: Motor and Electric Equipment; Chapter 19: Electrical Theory and New Technology; Chapter 20: Power Electronics and Power Drives; Chapter 21: Smart Grid Technologies; Chapter 22: Power System Management; Chapter 23: Product Design and Manufacturing Automation; Chapter 24: Precision Automation; Chapter 25: Application of Computer and Information Technology in Industry; Chapter 26: Engineering Education; Chapter 27: Project Management and Engineering Management