Abstract
The packing used for the transport of highly radioactive materials such as in-pile irradiated rods; have to comply to fairly strict safety standards. They should in particular resist to fire without the radioactive protection being seriously affected. The heating of a transport cask placed in a fire has been calculated by normal automatic computation methods assuming that only thermal radiation is responsible for the heating and that this obeys STEFAN'S law. Simultaneously, a purely analytical treatment has been attempted as follows. The existence of a simple solution, of the Laguerre function type, to the heat equation has been demonstrated. By superposing an infinite number of simple solutions, it is possible to produce a fairly general solution, depending on parameters, which satisfies the initial state and the limiting conditions. The parameters can be adjusted so that the temperature and the flux produced on the shell by this solution satisfy approximately STEFAN'S relationship. (authors) [French] Les emballages qui servent au transport de produits fortement radioactifs, tels que des barreaux irradies dans les piles, doivent satisfaire a des normes de securite assez strictes. Ils doivent, en particulier, resister au feu sans que la protection contre le rayonnement soit sensiblement entamee. L'echauffement, par seul
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Formery, Ph;
Gilles, A
[1]
- Commissariat a l'Energie Atomique, Dir. des Productions, Fontenay-aux-Roses (France). Centre d'Etudes Nucleaires
Citation Formats
Formery, Ph, and Gilles, A.
Heating of leads casks. An analytical solution to the heat equation made up of a series of Laguerre functions; Echauffement des chateaux de plomb. Une solution analytique a l'equation de la chaleur constituee par une serie de fonctions de Laguerre.
France: N. p.,
1968.
Web.
Formery, Ph, & Gilles, A.
Heating of leads casks. An analytical solution to the heat equation made up of a series of Laguerre functions; Echauffement des chateaux de plomb. Une solution analytique a l'equation de la chaleur constituee par une serie de fonctions de Laguerre.
France.
Formery, Ph, and Gilles, A.
1968.
"Heating of leads casks. An analytical solution to the heat equation made up of a series of Laguerre functions; Echauffement des chateaux de plomb. Une solution analytique a l'equation de la chaleur constituee par une serie de fonctions de Laguerre."
France.
@misc{etde_20729357,
title = {Heating of leads casks. An analytical solution to the heat equation made up of a series of Laguerre functions; Echauffement des chateaux de plomb. Une solution analytique a l'equation de la chaleur constituee par une serie de fonctions de Laguerre}
author = {Formery, Ph, and Gilles, A}
abstractNote = {The packing used for the transport of highly radioactive materials such as in-pile irradiated rods; have to comply to fairly strict safety standards. They should in particular resist to fire without the radioactive protection being seriously affected. The heating of a transport cask placed in a fire has been calculated by normal automatic computation methods assuming that only thermal radiation is responsible for the heating and that this obeys STEFAN'S law. Simultaneously, a purely analytical treatment has been attempted as follows. The existence of a simple solution, of the Laguerre function type, to the heat equation has been demonstrated. By superposing an infinite number of simple solutions, it is possible to produce a fairly general solution, depending on parameters, which satisfies the initial state and the limiting conditions. The parameters can be adjusted so that the temperature and the flux produced on the shell by this solution satisfy approximately STEFAN'S relationship. (authors) [French] Les emballages qui servent au transport de produits fortement radioactifs, tels que des barreaux irradies dans les piles, doivent satisfaire a des normes de securite assez strictes. Ils doivent, en particulier, resister au feu sans que la protection contre le rayonnement soit sensiblement entamee. L'echauffement, par seul rayonnement thermique suppose obeir a la loi de STEFAN, d'un chateau de transport plonge dans un feu a ete calcule par les methodes habituelles du calcul automatique. Parallelement a ete tentee l'approche purement analytique que voici: Une solution simple, du type fonction de LAGUERRE, a l'equation de la chaleur est mise en evidence. La superposition, en nombre infini, de solutions simples, permet de fabriquer une solution assez generale dependant de parametres, satisfaisant a l'etat initial et aux conditions aux limites. Les parametres peuvent etre ajustes de facon que la temperature et le flux engendres sur la coque par cette solution, satisfassent de facon approchee a la relation de STEFAN. (auteurs)}
place = {France}
year = {1968}
month = {Jul}
}
title = {Heating of leads casks. An analytical solution to the heat equation made up of a series of Laguerre functions; Echauffement des chateaux de plomb. Une solution analytique a l'equation de la chaleur constituee par une serie de fonctions de Laguerre}
author = {Formery, Ph, and Gilles, A}
abstractNote = {The packing used for the transport of highly radioactive materials such as in-pile irradiated rods; have to comply to fairly strict safety standards. They should in particular resist to fire without the radioactive protection being seriously affected. The heating of a transport cask placed in a fire has been calculated by normal automatic computation methods assuming that only thermal radiation is responsible for the heating and that this obeys STEFAN'S law. Simultaneously, a purely analytical treatment has been attempted as follows. The existence of a simple solution, of the Laguerre function type, to the heat equation has been demonstrated. By superposing an infinite number of simple solutions, it is possible to produce a fairly general solution, depending on parameters, which satisfies the initial state and the limiting conditions. The parameters can be adjusted so that the temperature and the flux produced on the shell by this solution satisfy approximately STEFAN'S relationship. (authors) [French] Les emballages qui servent au transport de produits fortement radioactifs, tels que des barreaux irradies dans les piles, doivent satisfaire a des normes de securite assez strictes. Ils doivent, en particulier, resister au feu sans que la protection contre le rayonnement soit sensiblement entamee. L'echauffement, par seul rayonnement thermique suppose obeir a la loi de STEFAN, d'un chateau de transport plonge dans un feu a ete calcule par les methodes habituelles du calcul automatique. Parallelement a ete tentee l'approche purement analytique que voici: Une solution simple, du type fonction de LAGUERRE, a l'equation de la chaleur est mise en evidence. La superposition, en nombre infini, de solutions simples, permet de fabriquer une solution assez generale dependant de parametres, satisfaisant a l'etat initial et aux conditions aux limites. Les parametres peuvent etre ajustes de facon que la temperature et le flux engendres sur la coque par cette solution, satisfassent de facon approchee a la relation de STEFAN. (auteurs)}
place = {France}
year = {1968}
month = {Jul}
}