Tensorial aspects of polienergetic neutron transport theory and calculation of some basic parameters
From national topical meeting on mathematical models and computational technlques for analysis of nuclear systems; Ann Arbor, Michigan, USA (8 Apr 1973). In mathematical models and computational techniques for analysis of nuclear systems. A tensorial formulation of diffusion theory for polienergetic neutrons and calculation of some basic tensor parameters are given. This formulation is extracted from the body of the neutron linear integral Boltzmann equation by resorting to tensorial analysis techniques. Generalized tensorial derivations of Fick's law and of diffusion equation, improving the corresponding results of the usual scalar'' polienergetic diffusion theory, are presented for the case of a homogeneous finite body. Previous results for the tensor diffusion coefficient in the monoenergetic case are imbedded in a more general frame, and numerical calculations are reported for some tensor parameters which describe the anisotropic character of neutron diffusion both in the slowing down and thermal energy ranges. 9 references. (auth)
- Research Organization:
- Univ., Bologna; American Nuclear Society. Michigan Section
- NSA Number:
- NSA-29-007171
- OSTI ID:
- 4372352
- Report Number(s):
- CONF-730414--P1
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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