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Abstract
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Article Information:
Analytical Solution of the Point Reactor Kinetics Equations for One-Group of Delayed Neutrons for a Discontinuous Linear Reactivity Insertion
S. Yamoah, E.H.K. Akaho, B.J.B. Nyarko, M. Asamoah and P. Asiedu-Boateng
Corresponding Author: S. Yamoah
Submitted: March 14, 2012
Accepted: April 14, 2012
Published: November 01, 2012 |
Abstract:
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The understanding of the time-dependent behaviour of the neutron population in a nuclear reactor
in response to either a planned or unplanned change in the reactor conditions is of great importance to the safe
and reliable operation of the reactor. It is therefore important to understand the response of the neutron density
and how it relates to the speed of lifting control rods. In this study, an analytical solution of point reactor kinetic
equations for one-group of delayed neutrons is developed to calculate the change in neutron density when
reactivity is linearly introduced discontinuously. The formulation presented in this study is validated with
numerical solution using the Euler method. It is observed that for higher speed, r = 0.0005 the Euler method
predicted higher values than the method presented in this study. However with r = 0.0001, the Euler method
predicted lower values than the method presented in this study except for t = 1.0 s and 5.0 s. The results
obtained have shown to be compatible with the numerical method.
Key words: Analytical solution, extraneous neutron source, linear reactivity, neutron population, point reactor, ,
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Cite this Reference:
S. Yamoah, E.H.K. Akaho, B.J.B. Nyarko, M. Asamoah and P. Asiedu-Boateng, . Analytical Solution of the Point Reactor Kinetics Equations for One-Group of Delayed Neutrons for a Discontinuous Linear Reactivity Insertion. Research Journal of Applied Sciences, Engineering and Technology, (21): 4320-4324.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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