Fractional Order Models for Nuclear Reactor Analysis

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

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  • Author : Gilberto Espinosa Paredes
  • Publisher : Woodhead Publishing
  • Pages : 402 pages
  • ISBN : 0128236663
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractional Order Models for Nuclear Reactor Analysis

Fractional-Order Models for Nuclear Reactor Analysis

Fractional-Order Models for Nuclear Reactor Analysis
  • Author : Gilberto Espinosa Paredes
  • Publisher : Woodhead Publishing
  • Release : 27 October 2020
GET THIS BOOKFractional-Order Models for Nuclear Reactor Analysis

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

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
  • Author : Vishwesh Vyawahare,Paluri S. V. Nataraj
  • Publisher : Springer
  • Release : 03 February 2018
GET THIS BOOKFractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

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

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
  • Author : Vishwesh Vyawahare,Paluri S. V. Nataraj
  • Publisher : Springer
  • Release : 12 February 2018
GET THIS BOOKFractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

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

Simulation and Modeling Methodologies, Technologies and Applications

Simulation and Modeling Methodologies, Technologies and Applications
  • Author : Mohammad S. Obaidat,Tuncer Ören,Janusz Kacprzyk,Joaquim Filipe
  • Publisher : Springer
  • Release : 14 January 2016
GET THIS BOOKSimulation and Modeling Methodologies, Technologies and Applications

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

Fractional Calculus

Fractional Calculus
  • Author : Varsha Daftardar-Gejji
  • Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
  • Release : 26 July 2013
GET THIS BOOKFractional Calculus

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

Fractional Calculus with Applications for Nuclear Reactor Dynamics

Fractional Calculus with Applications for Nuclear Reactor Dynamics
  • Author : Santanu Saha Ray
  • Publisher : CRC Press
  • Release : 29 July 2015
GET THIS BOOKFractional Calculus with Applications for Nuclear Reactor Dynamics

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

Fractional Calculus and Fractional Differential Equations

Fractional Calculus and Fractional Differential Equations
  • Author : Varsha Daftardar-Gejji
  • Publisher : Springer
  • Release : 10 August 2019
GET THIS BOOKFractional Calculus and Fractional Differential Equations

This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations

Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications

Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
  • Author : Esteban Tlelo-Cuautle,Ana Dalia Pano-Azucena,Omar Guillén-Fernández,Alejandro Silva-Juárez
  • Publisher : Springer Nature
  • Release : 11 November 2019
GET THIS BOOKAnalog/Digital Implementation of Fractional Order Chaotic Circuits and Applications

This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electronic devices, and to perform hardware descriptions of integer/fractional-order chaotic systems programming in VHDL. Finally, several engineering applications oriented to cryptography, internet of things, robotics and chaotic communications, are detailed to highlight the usefulness of FPAA/FPGA based integer/fractional-order chaotic systems.

Functional Fractional Calculus

Functional Fractional Calculus
  • Author : Shantanu Das
  • Publisher : Springer Science & Business Media
  • Release : 01 June 2011
GET THIS BOOKFunctional Fractional Calculus

When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In

Generalized Fractional Order Differential Equations Arising in Physical Models

Generalized Fractional Order Differential Equations Arising in Physical Models
  • Author : Santanu Saha Ray,Subhadarshan Sahoo
  • Publisher : CRC Press
  • Release : 13 November 2018
GET THIS BOOKGeneralized Fractional Order Differential Equations Arising in Physical Models

This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.

Nonlinear Differential Equations in Physics

Nonlinear Differential Equations in Physics
  • Author : Santanu Saha Ray
  • Publisher : Springer Nature
  • Release : 28 December 2019
GET THIS BOOKNonlinear Differential Equations in Physics

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

Kindergarten of Fractional Calculus

Kindergarten of Fractional Calculus
  • Author : Shantanu Das
  • Publisher : Cambridge Scholars Publishing
  • Release : 18 February 2020
GET THIS BOOKKindergarten of Fractional Calculus

This book presents a simplified deliberation of fractional calculus, which will appeal not only to beginners, but also to various applied science mathematicians and engineering researchers. The text develops the ideas behind this new field of mathematics, beginning at the most elementary level, before discussing its actual applications in different areas of science and engineering. This book shows that the simple, classical laws based on Newtonian calculus, which work quite well under limiting and idealized conditions, are not of much

Assessing the Reliability of Complex Models

Assessing the Reliability of Complex Models
  • Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Foundations of Verification, Validation, and Uncertainty Quantification
  • Publisher : National Academies Press
  • Release : 26 July 2012
GET THIS BOOKAssessing the Reliability of Complex Models

Advances in computing hardware and algorithms have dramatically improved the ability to simulate complex processes computationally. Today's simulation capabilities offer the prospect of addressing questions that in the past could be addressed only by resource-intensive experimentation, if at all. Assessing the Reliability of Complex Models recognizes the ubiquity of uncertainty in computational estimates of reality and the necessity for its quantification. As computational science and engineering have matured, the process of quantifying or bounding uncertainties in a computational estimate of

Principles of Nuclear Rocket Propulsion

Principles of Nuclear Rocket Propulsion
  • Author : William J. Emrich, Jr.
  • Publisher : Butterworth-Heinemann
  • Release : 28 July 2016
GET THIS BOOKPrinciples of Nuclear Rocket Propulsion

Principles of Nuclear Rocket Propulsion provides an understanding of the physical principles underlying the design and operation of nuclear fission-based rocket engines. While there are numerous texts available describing rocket engine theory and nuclear reactor theory, this is the first book available describing the integration of the two subject areas. Most of the book’s emphasis is primarily on nuclear thermal rocket engines, wherein the energy of a nuclear reactor is used to heat a propellant to high temperatures and

Introduction to Fractional Differential Equations

Introduction to Fractional Differential Equations
  • Author : Constantin Milici,Gheorghe Drăgănescu,J. Tenreiro Machado
  • Publisher : Springer
  • Release : 28 October 2018
GET THIS BOOKIntroduction to Fractional Differential Equations

This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from