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Neutron diffusion : concepts and uncertainty analysis for engineers and scientists

✍ Scribed by Chakraverty, Snehashish; Nayak, Sukanta


Publisher
CRC Press
Year
2017
Tongue
English
Leaves
195
Edition
1
Category
Library

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✦ Synopsis


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 aΒ must in every field of engineering and science and, in particular, with regardsΒ to 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. TheΒ underlying conceptsΒ of 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 appliedΒ wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.

✦ Table of Contents


Content: Basic Reactor PrinciplesAtomic StructureBinding energyNuclear fusionNuclear fissionRadioactivityPrinciples, Production, and interaction of neutrons with matterProduction of neutronsNeutron reactions and radiationInelastic and elastic scattering of neutronsMaxwell-Boltzmann distributionNeutron diffusion theory Cross section of neutron reactionsRates of neutron reactionsFission neutronsPrompt neutronsDelayed neutronsNeutron transport and diffusion equationFundamentals of UncertaintyProbabilistic uncertaintyNon-probabilistic uncertaintyInterval uncertaintyFuzzy uncertaintyUncertain Neutron diffusionUncertain factors involved in neutron diffusion theoryModeling of uncertain neutron diffusion equationsOne group modelAnalytical methodsNumerical methodsFinite difference methodFinite element methodConclusionUncertain One Group ModelInterval arithmetic and Fuzzy Finite Element Method (FFEM)Formulation of the uncertain stiffness matrices and force vectorsBare square homogeneous reactorMulti group modelUncertain factors involved in multi group neutron diffusion theoryFormulation of uncertain multi group neutron diffusion equationsUncertain Multi Group ModelFuzzy finite element for coupled differential equationsFuzzy multi group neutron diffusion equationCase studyResults and discussionConclusionPoint Kinetic DiffusionTheory of point kinetic neutron diffusion equationCase studyConclusion Stochastic Point Kinetic DiffusionStochastic point kinetic modelEuler-Maruyama methodExampleHybridised uncertainty in point kinetic diffusionDevelopment of stochastic point kinetic model with fuzzy parameters Fuzzy Euler-Maruyama methodCase StudyConclusion Index

✦ Subjects


Neutron transport theory;Differential equations


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