Neutron Thermalization in Heavy Gas with Nonuniform Temperature Distribution

Jauho, P.; Virjo, A.

doi:10.13182/nse68-a18012

Cited by 4 publications

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“…For example the early classic analysis of Kottwitz (1960) for this problem, using diffusion theory, assumes no absorption or neutron sources in the moderator. These assumptions are also made by the later transport theory analyses of Williams (1965Williams ( , 1968, Jauho and Virjo (1968) and Gritton and Leonard (1969). Moreover, all these authors assume a simple form for the energy exchange kernel, usually the heavy gas kernel, although Williams (1968) employs a variation on this kernel based on the secondary scattering model.…”

Section: Introductionmentioning

confidence: 99%

Thermal neutron transport near a moderator discontinuity using the method of weighted residuals: III. Temperature discontinuities in graphite and light water

Beynon¹,

Moon²

1973

J. Phys. D: Appl. Phys.

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A detailed analysis is made of the spatial variation of the effective thermal neutron temperature near temperature discontinuities in large volumes of graphite and light water. For graphite comparisons are made with recent measurements by Day. It is seen that it is important that proper consideration be made for the gradient of the epithermal flux. For water a number of predictions are made for both poisoned and unpoisoned systems and some doubt is cast on the feasibility of such measurements for determining the accuracy of different scattering kernels for light water. It is demonstrated, for both graphite and light water, that additional information can be obtained by extracting neutron beams at angles other than perpendicular to the axis of the system.

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Section: Introductionmentioning

confidence: 99%

Thermal neutron transport near a moderator discontinuity using the method of weighted residuals: III. Temperature discontinuities in graphite and light water

Beynon¹,

Moon²

1973

J. Phys. D: Appl. Phys.

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Concerning the neutron rethermalization in a heavy gas

Saastamoinen

1968

Journal of Nuclear Energy

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A new synthetic scattering kernel with applications in neutron transport theory

M M R Williams

1968

J. Phys. D: Appl. Phys.

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A new synthetic kernel, based on the secondary model of neutron scattering, is derived. The new model reproduces infinite-medium spectra in 1/v-poisoned media with considerable accuracy and behaves in many ways like a real, chemically bound moderator. The eigenfunctions of the scattering operator defined by the new kernel are found to be Laguerre polynomials but, unlike the heavy gas model which also has Laguerre polynomial eigenfunctions, the eigenvalues have a limit point behaviour. This fact enables the space eigenvalues of the transport equation to assume a particularly useful form and overcomes the anomalous behaviour observed when the heavy gas model is employed. The new kernel is more accurate than the heavy gas model, being valid for all values of moderator mass. It is also just as convenient from an analytical point of view, as illustrated by an example based on neutron diffusion in a temperature gradient.

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Neutron Thermalization in Heavy Gas with Nonuniform Temperature Distribution

Cited by 4 publications

References 0 publications

Thermal neutron transport near a moderator discontinuity using the method of weighted residuals: III. Temperature discontinuities in graphite and light water

Thermal neutron transport near a moderator discontinuity using the method of weighted residuals: III. Temperature discontinuities in graphite and light water

Concerning the neutron rethermalization in a heavy gas

A new synthetic scattering kernel with applications in neutron transport theory

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