Abstract
The concept of fractional divergence is developed for application to the constitutive neutron diffusion equation for describing the neutron flux profile. The analytical solutions for bare reactors in multiplying media and neutron diffusion in non-multiplying media are obtained for fractional-order differential equations. This definition of fractional divergence describes the neutron flux by not considering it as a classical point quantity. Fractional calculus gives a better representation for a distributed system, and takes 'initialisation-function' (instead of a constant of initialisation) in its solution; thereby encompassing the process history. Therefore, this fractional divergence really describes the reactor flux profile, and having a measurement system based on this concept will generate efficient reactor control. The analytical solutions obtained herein may be verified by standard numerical regression methods in a working reactor to evaluate the order of fractional divergence. This paper discusses the practical application of 300 years of fractional calculus theory to describe reactor systems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Nuclear Energy Science and Technology
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
