Calculation of the Dancoff Factor for Pebble Bed Reactors

Valko, J.; Tsvetkov, P. V.; Hoogenboom, J. Eduard

doi:10.13182/nse00-a2143

Cited by 11 publications

(2 citation statements)

References 7 publications

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“…Due to the importance of this task, many problems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] have been formulated and solved. This importance arises in many applications, which can vary over a wide range from astrophysical clouds in the interstellar medium to pebble bed nuclear reactors [2].…”

Section: Introductionmentioning

confidence: 99%

“…This importance arises in many applications, which can vary over a wide range from astrophysical clouds in the interstellar medium to pebble bed nuclear reactors [2]. In the case of pebble bed nuclear reactors [3], small spheres of uranium coated in carbon are randomly mixed in the reactor core. The neutron transport in boiling water reactors gives an interesting example of applications.…”

Section: Introductionmentioning

confidence: 99%

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Pure-triplet scattering for radiative transfer in binary discrete random finite media with reflective boundaries and internal source of radiation

Sallah

Degheidy

2008

Waves in Random and Complex Media

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The stochastic solution of the monoenergetic radiative transfer equation in a finite slab random medium with pure-triplet anisotropic scattering is considered. The random medium is assumed to consist of two randomly mixed immiscible fluids labelled by 1 and 2. The extinction function, the scattering kernel, and the internal source of radiation are treated as discrete random variables, which obey the same statistics. The theoretical model used here for stochastic media transport assumes Markovian processes and exponential chord length statistics. The boundaries of the medium under consideration are considered to have specular and diffuse reflectivities with an internal source of radiation inside the medium. The ensemble-average partial heat fluxes are obtained in terms of the average albedos of the corresponding source-free problem, whose solution is obtained by using the Pomraning-Eddington approximation. Numerical results are calculated for the average forward and backward partial heat fluxes for different values of the single scattering albedo with variation of the parameters that characterize the random medium. Compared to the results obtained by Adams et al. in the case of isotropic scattering based on the Monte Carlo technique, it can be demonstrated that we have good comparable data.

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