THE CLOSED SOLUTION OF THE STATIONARY MULTI-GROUP DIFFUSION EQUATION OF A REFLECTING SPHEROIDAL REACTOR AND THE ADAPTATION OF THE CYLINDRICAL REACTOR TO THE SPHEROIDAL REACTOR (in German)
Journal Article
·
· Nukleonik (West Germany) Discontinued with vol. 12
OSTI ID:4185474
As is known the problem of a reactor homogeneously reflecting on all sides, whose flux distribution depends on more than a position coordinate, was solved earlier by approximation methods. For the practically important case of the cylindrical reactor reflecting on blanket and casing. Marchuk, Ziegler, et al. present various approximation methods which satisfy in good approximation the calculation of critical volumes. However, with these methods it is not possible to make reliable assumptions on the flux distribution of single neutron groups. By introduction of rotational elliptical coordinates, it is easy to solve rigorously the multigroup diffusion problems of a reflecting spheroidal reactor so that any number of energy groups and reflector shells can be assumed. The flux distribution yields in the non-stationary case successive spheroidal functions. In the critical state only two eigenfunctions remain. A special investigation then shows that a cylindrical reactor can be approximated through a spheroidal reactor. (tr-auth)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-14-015432
- OSTI ID:
- 4185474
- Journal Information:
- Nukleonik (West Germany) Discontinued with vol. 12, Journal Name: Nukleonik (West Germany) Discontinued with vol. 12 Vol. Vol: 2; ISSN NUKKA
- Country of Publication:
- Country unknown/Code not available
- Language:
- German
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