Neutron diffusion : concepts and uncertainty analysis for engineers and scientists
Snehashish Chakraverty and Sukanta Nayak
- Boca Raton : CRC Press, c2017.
- x, 184 p. : ill. ; 27 cm.
Basic Reactor energy Nuclear fusion Nuclear , Production, and interaction of neutrons with of 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 Mode lInterval 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
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 a must in every field of engineering and science and, in particular, with regards 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.