Abstract
Investigations of severe accidents in power reactors will hardly produce data on the geometry, composition and density distributions of fuel mixtures in such detail as demanded for criticality calculations. In view of this rather sloppy formulation of the task one might consider as an objective the search for the `worst case`, i.e. the composition and structure of arrangements with maximum multiplication. The fuel geometry with maximum k{sub {infinity}} is a hexagonal close package of spheres with a certain radius, immersed in water. But this arrangement is mechanically unstable. Furthermore, the collapsed hexagonal close package with touching spheres is by no means optimal with respect to k{sub {infinity}}. Thus, mechanical stability is a necessary additional condition in the search for the worst case. The main part of the report deals with the determination of such a structure. In view of the complexity of the task rigorous mathematical demonstration is not expected to be successful. Instead one adheres to heuristic reasoning. (orig.)
Citation Formats
Kumpf, H.
Recriticality calculations for uraniumdioxide-water systems with MCNP.
Germany: N. p.,
1998.
Web.
Kumpf, H.
Recriticality calculations for uraniumdioxide-water systems with MCNP.
Germany.
Kumpf, H.
1998.
"Recriticality calculations for uraniumdioxide-water systems with MCNP."
Germany.
@misc{etde_352074,
title = {Recriticality calculations for uraniumdioxide-water systems with MCNP}
author = {Kumpf, H}
abstractNote = {Investigations of severe accidents in power reactors will hardly produce data on the geometry, composition and density distributions of fuel mixtures in such detail as demanded for criticality calculations. In view of this rather sloppy formulation of the task one might consider as an objective the search for the `worst case`, i.e. the composition and structure of arrangements with maximum multiplication. The fuel geometry with maximum k{sub {infinity}} is a hexagonal close package of spheres with a certain radius, immersed in water. But this arrangement is mechanically unstable. Furthermore, the collapsed hexagonal close package with touching spheres is by no means optimal with respect to k{sub {infinity}}. Thus, mechanical stability is a necessary additional condition in the search for the worst case. The main part of the report deals with the determination of such a structure. In view of the complexity of the task rigorous mathematical demonstration is not expected to be successful. Instead one adheres to heuristic reasoning. (orig.)}
place = {Germany}
year = {1998}
month = {Oct}
}
title = {Recriticality calculations for uraniumdioxide-water systems with MCNP}
author = {Kumpf, H}
abstractNote = {Investigations of severe accidents in power reactors will hardly produce data on the geometry, composition and density distributions of fuel mixtures in such detail as demanded for criticality calculations. In view of this rather sloppy formulation of the task one might consider as an objective the search for the `worst case`, i.e. the composition and structure of arrangements with maximum multiplication. The fuel geometry with maximum k{sub {infinity}} is a hexagonal close package of spheres with a certain radius, immersed in water. But this arrangement is mechanically unstable. Furthermore, the collapsed hexagonal close package with touching spheres is by no means optimal with respect to k{sub {infinity}}. Thus, mechanical stability is a necessary additional condition in the search for the worst case. The main part of the report deals with the determination of such a structure. In view of the complexity of the task rigorous mathematical demonstration is not expected to be successful. Instead one adheres to heuristic reasoning. (orig.)}
place = {Germany}
year = {1998}
month = {Oct}
}