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Fractal Model Of Fission Product Release In Nuclear Fuel

Author

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  • GEDIMINAS STANKUNAS

    (Lithuanian Energy Institute, Laboratory of Nuclear Installation Safety, Breslaujos g. 3, Kaunas LT-44403, Lithuania)

Abstract

A model of fission gas migration in nuclear fuel pellet is proposed. Diffusion process of fission gas in granular structure of nuclear fuel with presence of inter-granular bubbles in the fuel matrix is simulated by fractional diffusion model. The Grunwald–Letnikov derivative parameter characterizes the influence of porous fuel matrix on the diffusion process of fission gas. A finite-difference method for solving fractional diffusion equations is considered. Numerical solution of diffusion equation shows correlation of fission gas release and Grunwald–Letnikov derivative parameter. Calculated profile of fission gas concentration distribution is similar to that obtained in the experimental studies. Diffusion of fission gas is modeled for real RBMK-1500 fuel operation conditions. A functional dependence of Grunwald–Letnikov derivative parameter with fuel burn-up is established.

Suggested Citation

  • Gediminas Stankunas, 2012. "Fractal Model Of Fission Product Release In Nuclear Fuel," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(09), pages 1-8.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:09:n:s012918311250057x
    DOI: 10.1142/S012918311250057X
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