Cesium Release from Coated Fuel Particles with Failed Coatings

Amian, W.; Stöver, D.

doi:10.13182/nt82-a33031

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…[3−4] How to confirm the concentrations distributions of fission products in the UO 2 particle are very important to the study this problem mentioned above [5] but it is very complicated due to comprehensive mechanism of diffusion. [6] However, it is demonstrated that the Fick's law with source term has successfully modeled the concentrations of the fission products with the assumption that the UO 2 particle is spherical symmetry and homogeneous. [7] It is obvious that models that are restricted to only normal diffusion of fission products in spherical particle can not capture all the physical mechanism because there are lots of pores in the UO 2 particle and fractal structures are also discovered through experimental [8] (For modeling analysis, it is reasonable to consider that the fractal structure in the UO 2 particle is ideal).…”

Section: Introductionmentioning

confidence: 99%

Exact Solution of Fractional Diffusion Model with Source Term used in Study of Concentration of Fission Product in Uranium Dioxide Particle

Fang¹,

Cao²,

Sun³

2011

Commun. Theor. Phys.

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The exact solution of fractional diffusion model with a location-independent source term used in the study of the concentration of fission product in spherical uranium dioxide (UO2) particle is built. The adsorption effect of the fission product on the surface of the UO2 particle and the delayed decay effect are also considered. The solution is given in terms of Mittag-Leffler function with finite Hankel integral transformation and Laplace transformation. At last, the reduced forms of the solution under some special physical conditions, which is used in nuclear engineering, are obtained and corresponding remarks are given to provide significant exact results to the concentration analysis of nuclear fission products in nuclear reactor.

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Section: Introductionmentioning

confidence: 99%

Exact Solution of Fractional Diffusion Model with Source Term used in Study of Concentration of Fission Product in Uranium Dioxide Particle

Fang¹,

Cao²,

Sun³

2011

Commun. Theor. Phys.

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“…However, surprisingly, such models, with assumed perfect spherical symmetry, have successfully modeled releases even from a fuel particle that has been pierced with a laser-drilled hole [Amian and Stover, 1982]. Therefore, there is utility in advancing such models for quantifying the effects of fission product diffusion.…”

Section: Introductionmentioning

confidence: 99%

“…An advantage of the Booth model is that the release fraction is a simple analytical expression, thus eliminating extensive computations. However, for multicoated fuels, only numerical solutions [Brown and Faircloth, 1976;Kurata, 1981;Amian and Stover, 1982], or semi-analytic approximations [Smith et al, 1977] have been documented in the literature. In all these cases, significant computational resources are required and the results are limited by discretization or approximation errors.…”

Section: Introductionmentioning

confidence: 99%

Analytical Modeling of Fission Product Releases by Diffusion from Multicoated Fuel Particles

Gelbard¹

2003

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Three levels of fission product diffusional release models are solved exactly. First, the Booth model for a homogenous uncoated spherical fuel particle is presented and an improved implementation is suggested. Second, the release from a fuel particle with a single barrier layer is derived as a simple alternative to account for a coating layer. Third, the general case of release from a multicoated fuel particle is derived and applied to a TRISO-coated fuel. Previous approaches required approximate numerical solutions for the case of an arbitrary number of coatings with arbitrary diffusivities and arbitrary coating interface conditions.

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“…However, Fick's equation, [7] with assumption of perfect spherical symmetry, has successfully modeled releases from the fuel particles and elements. [8] Therefore, there is utility in advancing such a model for quantifying the effects of fission product diffusion.…”

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confidence: 99%

Analytical Solution of Fick's Law of the TRISO-Coated Fuel Particles and Fuel Elements in Pebble-Bed High Temperature Gas-Cooled Reactors

Cao¹,

Fang²,

Sun³

2011

Chinese Phys. Lett.

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Two kinds of approaches are built to solve the fission products diffusion models (Fick's equation) based on sphere fuel particles and sphere fuel elements exactly. Two models for homogenous TRISO-coated fuel particles and fuel elements used in pebble-bed high temperature gas-cooled reactors are presented, respectively. The analytical solution of Fick's equation for fission products diffusion in fuel particles is derived by variables separation. In the fuel element system, a modification of the diffusion coefficient from 𝐷 to 𝐷/𝑟 is made to characterize the difference of diffusion rates in distinct areas and it is shown that the Laplace and Hankel transformations are effective as the diffusion coefficient in Fick's equation is dependant on the radius of the fuel element. Both the solutions are useful for the prediction of the fission product behaviors and could be programmed in the corresponding engineering calculations.

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Cesium Release from Coated Fuel Particles with Failed Coatings

Cited by 5 publications

References 10 publications

Exact Solution of Fractional Diffusion Model with Source Term used in Study of Concentration of Fission Product in Uranium Dioxide Particle

Exact Solution of Fractional Diffusion Model with Source Term used in Study of Concentration of Fission Product in Uranium Dioxide Particle

Analytical Modeling of Fission Product Releases by Diffusion from Multicoated Fuel Particles

Analytical Solution of Fick's Law of the TRISO-Coated Fuel Particles and Fuel Elements in Pebble-Bed High Temperature Gas-Cooled Reactors

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