Neutron Diffusion:Concepts and Uncertainty Analysis for Engineers and Scientists

图书简介

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is amust in every field of engineering and science and, in particular, with regardsto nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. Theunderlying conceptsof the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely appliedwherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.

Basic Reactor Principles Atomic Structure Binding energy Nuclear fusion Nuclear fission Radioactivity Principles, Production, and interaction of neutrons with matter Production of neutrons Neutron reactions and radiation Inelastic and elastic scattering of neutrons Maxwell-Boltzmann distribution Neutron diffusion theory Cross section of neutron reactions Rates of neutron reactions Fission neutrons Prompt neutrons Delayed neutrons Neutron transport and diffusion equation Fundamentals of Uncertainty Probabilistic uncertainty Non-probabilistic uncertainty Interval uncertainty Fuzzy uncertainty Uncertain Neutron diffusion Uncertain factors involved in neutron diffusion theory Modeling of uncertain neutron diffusion equations One group model Analytical methods Numerical methods Finite difference method Finite element method Conclusion Uncertain One Group Model Interval arithmetic and Fuzzy Finite Element Method (FFEM) Formulation of the uncertain stiffness matrices and force vectors Bare square homogeneous reactor Multi group model Uncertain factors involved in multi group neutron diffusion theory Formulation of uncertain multi group neutron diffusion equations Uncertain Multi Group Model Fuzzy finite element for coupled differential equations Fuzzy multi group neutron diffusion equation Case study Results and discussion Conclusion Point Kinetic Diffusion Theory of point kinetic neutron diffusion equation Case study Conclusion Stochastic Point Kinetic Diffusion Stochastic point kinetic model Eu

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Neutron Diffusion:Concepts and Uncertainty Analysis for Engineers and Scientists 中子扩散：工程师与科学家的概念与不确定性分析 数学分析

Neutron Diffusion:Concepts and Uncertainty Analysis for Engineers and Scientists

中子扩散：工程师与科学家的概念与不确定性分析
数学分析