Imperial College London
Dr Matthew Eaton

DrMatthewEaton

Faculty of Engineering, Department of Mechanical Engineering

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Contact

 

+44 (0)20 7594 7053m.eaton

 
 
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Location

 

657City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Williams:2019:10.1016/j.anucene.2019.03.002,
author = {Williams, A and Williams, M and Eaton, M},
doi = {10.1016/j.anucene.2019.03.002},
journal = {Annals of Nuclear Energy},
pages = {493--511},
title = {Methods of studying the effect of rough surfaces on reactivity in two-dimensional reactor physics problems},
url = {http://dx.doi.org/10.1016/j.anucene.2019.03.002},
volume = {130},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Rough and perturbed surfaces are examined in the field of reactor physics using homotopy, homogenisation and the Feinberg-Galanin method. The homotopy method allows a problem with a perturbed interface to be represented as an unperturbed problem with a modified boundary condition. Perturbation theory was applied to this method and the results were studied for the neutron transport equation, the neutron diffusion approximation and a hybrid ABH-diffusion approximation. The homogenisation of surface roughness in the fuelmoderator interface was also examined and compared to the homotopy approach. Finally, the effect of larger-scale geometric uncertainties was studied using the Feinberg-Galanin approach. The effectiveness of the methods is determined by examining the change in effective multiplication factor keff examined both directly and via the six-factor formula. Analytic solutions to approximations of perturbation theory differentials were capable ofaccurately predicting the change in keff when compared to numerical solutions. Examining a change in fuel pin radius of 20 µm, we find that for water moderated systems the overall change in eff k is close to 70 pcm and for graphite systems it is 18 pcm. This shows that water and graphite moderated cores are sensitive to small changes in geometry.
AU  - Williams,A
AU  - Williams,M
AU  - Eaton,M
DO  - 10.1016/j.anucene.2019.03.002
EP  - 511
PY  - 2019///
SN  - 0306-4549
SP  - 493
TI  - Methods of studying the effect of rough surfaces on reactivity in two-dimensional reactor physics problems
T2  - Annals of Nuclear Energy
UR  - http://dx.doi.org/10.1016/j.anucene.2019.03.002
UR  - http://hdl.handle.net/10044/1/67418
VL  - 130
ER  -
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