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

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 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

Palladium Membrane Technology for Hydrogen Production, Carbon Capture and Other Applications

Palladium Membrane Technology for Hydrogen Production, Carbon Capture and Other Applications
  • Author : A Doukelis,K Panopoulos,A Koumanakos,E Kakaras
  • Publisher : Elsevier
  • Release : 20 October 2014
GET THIS BOOKPalladium Membrane Technology for Hydrogen Production, Carbon Capture and Other Applications

Thanks to their outstanding hydrogen selectivity, palladium membranes have attracted extensive R&D interest. They are a potential breakthrough technology for hydrogen production and also have promising applications in the areas of thermochemical biorefining. This book summarises key research in palladium membrane technologies, with particular focus on the scale-up challenges. After an introductory chapter, Part one reviews the fabrication of palladium membranes. Part two then focuses on palladium membrane module and reactor design. The final part of the book reviews

General Fractional Derivatives

General Fractional Derivatives
  • Author : Xiao-Jun Yang
  • Publisher : CRC Press
  • Release : 10 May 2019
GET THIS BOOKGeneral Fractional Derivatives

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
  • Author : Santanu Saha Ray,Arun Kumar Gupta
  • Publisher : CRC Press
  • Release : 12 January 2018
GET THIS BOOKWavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.

Neutron Physics

Neutron Physics
  • Author : Karl-Heinrich Beckurts,Karl Wirtz
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKNeutron Physics

This book is based upon a series of lectures I have occasionally given at the University of Gottingen since 1951. They were meant to introduce the students of experimental physics to the work in a neutron physics laboratory dealing with the problem of measuring neutron flux, diffusion length, Fermi age, effective neutron temperature, absorption cross sections and similar problems. Moreover, these lectures were intended to prepare the students for a subsequent lecture covering the physics of nuclear reactors. The original character

Fractional-order Systems and PID Controllers

Fractional-order Systems and PID Controllers
  • Author : Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran
  • Publisher : Springer Nature
  • Release : 31 October 2019
GET THIS BOOKFractional-order Systems and PID Controllers

This book presents a detailed study on fractional-order, set-point, weighted PID control strategies and the development of curve-fitting-based approximation techniques for fractional-order parameters. Furthermore, in all the cases, it includes the Scilab-based commands and functions for easy implementation and better understanding, and to appeal to a wide range of readers working with the software. The presented Scilab-based toolbox is the first toolbox for fractional-order systems developed in open-source software. The toolboxes allow time and frequency domains as well as stability

Dynamics and Control of Energy Systems

Dynamics and Control of Energy Systems
  • Author : Achintya Mukhopadhyay,Swarnendu Sen,Dipankar Narayan Basu,Sirshendu Mondal
  • Publisher : Springer Nature
  • Release : 14 October 2019
GET THIS BOOKDynamics and Control of Energy Systems

This book presents recent advances in dynamics and control of different types of energy systems. It covers research on dynamics and control in energy systems from different aspects, namely, combustion, multiphase flow, nuclear, chemical and thermal. The chapters start from the basic concepts so that this book can be useful even for researchers with very little background in the area. A dedicated chapter provides an overview on the fundamental aspects of the dynamical systems approach. The book will be of