Neutron Diffusion

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.

• 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 Euler-Maruyama method Example Hybridised uncertainty in point kinetic diffusion Development of stochastic point kinetic model with fuzzy parameters Fuzzy Euler-Maruyama method Case Study Conclusion Index