Analytical solution of the fractional point-reactor kinetics equations with an external neutron source

Authors

Jeffrey D. Tare ⋅ PH DOST − Philippine Nuclear Research Institute and National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman
Alvie A. Astronomo ⋅ PH DOST − Philippine Nuclear Research Institute

Abstract

In this work, a generalization to fractional order 0 < α ≤ 1 of the point-reactor kinetics equations with an external neutron source is introduced. Using the Laplace transform method, an analytical solution of this problem that is applicable to any time-dependent external neutron source is obtained. The results are applied to the case of an isotopic neutron source. Along with positive reactivity insertion, the presence of this neutron source increases the neutron number density, a condition that is sought during a reactor start-up. The increase is found to be more rapid and evident for lower values of α.

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Issue

2022: Proceedings of the 40th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2022-1G-06

Section

Theoretical and Mathematical Physics

Published

2022-09-30

How to Cite

[1]

JD Tare, JPH Esguerra, and AA Astronomo, Analytical solution of the fractional point-reactor kinetics equations with an external neutron source, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-1G-06 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-1G-06.