Neutron Diffusion: Concepts and Uncertainty Analysis for Engineers and Scientists

ISBN-13: 9780367889807 / Angielski / Miękka / 2019 / 196 str.

S. Chakraverty; Sukanta Nayak

Opis

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty.

Spis treści

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

O autorze

Dr. S. Chakraverty has over 25 years of experience as a researcher and teacher. Currently he is working at the National Institute of Technology, Rourkela, Odisha as a full Professor and Head of the Department of Mathematics. Prior to this he was with CSIR Central Building Research Institute, Roorkee, India. After graduating from St. Columba’s College (Ranchi University), he obtained his M. Sc in Mathematics and M. Phil in Computer Applications from the University of Roorkee (now the Indian Institute of Technology Roorkee), earning First Position in the University honors. Dr. Chakraverty received his Ph. D. from IIT Roorkee in 1992. Thereafter he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill Universities, Canada, during 1997-1999 and visiting professor of University of Johannesburg, South Africa during 2011-2014.

Sukanta Nayak received his B.Sc. (Mathematics) from Government Autonomous College, Rourkela in 2008 and M.Sc. (Mathematics) from National Institute of Technology, Rourkela in 2010. He has done his Ph. D. (Mathematics) from　National Institute of Technology, Rourkela in 2016. He is the awardee of P. G. level scholarship, Government of Odisha in 2008 and qualified GATE, Government of India, in 2012. Currently he is doing his post-doctoral research at the University of Johannesburg, South Africa. He has published 9 research papers in international peer-reviewed journals, and 2 book chapters.