Abstract
In this report, a general transport theory treatment is presented for the kinetics study as applied to finite heterogeneous systems. The theory is applicable to experiments near the critical point as well as to pulsed neutron experiments on multiplying or non-multiplying lattices. The general method is also applied to exponential experiments on infinite non-diverging lattices. The particularity of the present study is the explicit introduction of heterogeneity in the formulation and the search for the dependence of the parameters on the buckling of the finite medium. As a result of this, the finite medium parameters are in the first place expressed in terms of the corresponding infinite medium ones through the buckling and the anisotropic migration areas, and in the second place all the parameters are expressed as integrals only over an unit cell instead of over the whole pile. A preliminary less detailed study is first made in order to distinguish clearly between what are called 'dynamic parameters' and 'static parameters', and to define the meanings given in this report to these two terms. In the appendices are given approximate one-group treatments for the study of the dynamic fine structure, the time constant in infinite lattices, and the anisotropic
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Deniz, V
[1]
- Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Citation Formats
Deniz, V.
Kinetics of heterogeneous systems; La cinetique des milieux heterogenes.
France: N. p.,
1967.
Web.
Deniz, V.
Kinetics of heterogeneous systems; La cinetique des milieux heterogenes.
France.
Deniz, V.
1967.
"Kinetics of heterogeneous systems; La cinetique des milieux heterogenes."
France.
@misc{etde_20622008,
title = {Kinetics of heterogeneous systems; La cinetique des milieux heterogenes}
author = {Deniz, V}
abstractNote = {In this report, a general transport theory treatment is presented for the kinetics study as applied to finite heterogeneous systems. The theory is applicable to experiments near the critical point as well as to pulsed neutron experiments on multiplying or non-multiplying lattices. The general method is also applied to exponential experiments on infinite non-diverging lattices. The particularity of the present study is the explicit introduction of heterogeneity in the formulation and the search for the dependence of the parameters on the buckling of the finite medium. As a result of this, the finite medium parameters are in the first place expressed in terms of the corresponding infinite medium ones through the buckling and the anisotropic migration areas, and in the second place all the parameters are expressed as integrals only over an unit cell instead of over the whole pile. A preliminary less detailed study is first made in order to distinguish clearly between what are called 'dynamic parameters' and 'static parameters', and to define the meanings given in this report to these two terms. In the appendices are given approximate one-group treatments for the study of the dynamic fine structure, the time constant in infinite lattices, and the anisotropic diffusion coefficients in non-multiplying lattices. (author) [French] On presente dans ce rapport une methode generale, utilisant la theorie du transport pour l'etude de la cinetique des milieux finis heterogenes. La theorie est applicable aussi bien aux experiences pres de la criticite qu'aux experiences par sources pulsees de neutrons sur des reseaux multiplicateurs ou non-multiplicateurs. La methode generale est aussi appliquee aux experiences exponentielles sur des reseaux infinis non-divergents. La particularite de l'etude est l'introduction explicite de l'heterogeneite dans la formulation et la recherche de la dependance des parametres par rapport au laplacien du reseau fini. Il en resulte d'une part que les parametres en milieu fini sont exprimes en fonction des parametres correspondants en milieu infini par l'intermediaire du laplacien et des aires de migration anisotropes, et d'autre part que tous ces parametres sont exprimes en fonction des integrales sur une seule cellule et non sur toute la pile. Une etude preliminaire moins detaillee est d'abord faite pour bien distinguer entre ce qu'on appelle 'parametres dynamiques' et 'parametres statiques' et pour preciser le sens que l'on donne aux deux termes dans ce rapport. On donne en annexe des traitements approximatifs a un groupe pour l'etude de la structure fine dynamique, de la constante de temps en milieu infini, et des coefficients de diffusion anisotrope dans des reseaux non-multiplicateurs. (auteur)}
place = {France}
year = {1967}
month = {Jul}
}
title = {Kinetics of heterogeneous systems; La cinetique des milieux heterogenes}
author = {Deniz, V}
abstractNote = {In this report, a general transport theory treatment is presented for the kinetics study as applied to finite heterogeneous systems. The theory is applicable to experiments near the critical point as well as to pulsed neutron experiments on multiplying or non-multiplying lattices. The general method is also applied to exponential experiments on infinite non-diverging lattices. The particularity of the present study is the explicit introduction of heterogeneity in the formulation and the search for the dependence of the parameters on the buckling of the finite medium. As a result of this, the finite medium parameters are in the first place expressed in terms of the corresponding infinite medium ones through the buckling and the anisotropic migration areas, and in the second place all the parameters are expressed as integrals only over an unit cell instead of over the whole pile. A preliminary less detailed study is first made in order to distinguish clearly between what are called 'dynamic parameters' and 'static parameters', and to define the meanings given in this report to these two terms. In the appendices are given approximate one-group treatments for the study of the dynamic fine structure, the time constant in infinite lattices, and the anisotropic diffusion coefficients in non-multiplying lattices. (author) [French] On presente dans ce rapport une methode generale, utilisant la theorie du transport pour l'etude de la cinetique des milieux finis heterogenes. La theorie est applicable aussi bien aux experiences pres de la criticite qu'aux experiences par sources pulsees de neutrons sur des reseaux multiplicateurs ou non-multiplicateurs. La methode generale est aussi appliquee aux experiences exponentielles sur des reseaux infinis non-divergents. La particularite de l'etude est l'introduction explicite de l'heterogeneite dans la formulation et la recherche de la dependance des parametres par rapport au laplacien du reseau fini. Il en resulte d'une part que les parametres en milieu fini sont exprimes en fonction des parametres correspondants en milieu infini par l'intermediaire du laplacien et des aires de migration anisotropes, et d'autre part que tous ces parametres sont exprimes en fonction des integrales sur une seule cellule et non sur toute la pile. Une etude preliminaire moins detaillee est d'abord faite pour bien distinguer entre ce qu'on appelle 'parametres dynamiques' et 'parametres statiques' et pour preciser le sens que l'on donne aux deux termes dans ce rapport. On donne en annexe des traitements approximatifs a un groupe pour l'etude de la structure fine dynamique, de la constante de temps en milieu infini, et des coefficients de diffusion anisotrope dans des reseaux non-multiplicateurs. (auteur)}
place = {France}
year = {1967}
month = {Jul}
}