{"id":44072,"date":"2019-10-14T17:28:14","date_gmt":"2019-10-14T16:28:14","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-que-la-distribution-de-la-temperature-dans-une-gaine-de-combustible-definition\/"},"modified":"2020-03-05T12:45:36","modified_gmt":"2020-03-05T11:45:36","slug":"quest-ce-que-la-distribution-de-la-temperature-dans-une-gaine-de-combustible-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-distribution-de-la-temperature-dans-une-gaine-de-combustible-definition\/","title":{"rendered":"Qu&#8217;est-ce que la distribution de la temp\u00e9rature dans une gaine de combustible &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Distribution de la temp\u00e9rature dans le rev\u00eatement de carburant.\u00a0La gaine est la couche ext\u00e9rieure des barres de combustible, entre le fluide de refroidissement du r\u00e9acteur et le combustible nucl\u00e9aire (c&#8217;est-\u00e0-dire les pastilles de combustible)<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Distribution de la temp\u00e9rature dans le rev\u00eatement de carburant<\/h2>\n<p><strong>La gaine<\/strong>\u00a0est la couche externe des barres de combustible, situ\u00e9e entre le\u00a0<strong>fluide de refroidissement<\/strong>\u00a0du\u00a0<strong>r\u00e9acteur<\/strong>\u00a0et le\u00a0<strong>combustible nucl\u00e9aire<\/strong>\u00a0(c&#8217;est-\u00e0-dire\u00a0<strong>les pastilles de combustible<\/strong>\u00a0).\u00a0Il est fabriqu\u00e9 dans un mat\u00e9riau r\u00e9sistant \u00e0 la corrosion avec une section efficace d&#8217;absorption faible pour les neutrons thermiques, g\u00e9n\u00e9ralement un\u00a0<strong>alliage de zirconium<\/strong>\u00a0.\u00a0<strong>Le rev\u00eatement<\/strong>\u00a0emp\u00eache les produits de fission radioactifs de s&#8217;\u00e9chapper de la matrice de combustible dans le liquide de refroidissement du r\u00e9acteur et de le contaminer.\u00a0Le rev\u00eatement constitue l&#8217;un des obstacles \u00e0\u00a0l&#8217;approche de\u00a0\u00ab\u00a0<strong>d\u00e9fense en profondeur<\/strong>\u00a0\u00bb.<\/p>\n<p>Consid\u00e9rons la gaine de combustible de rayon int\u00e9rieur\u00a0<strong>r\u00a0<sub>Zr, 2<\/sub>\u00a0= 0,408 cm<\/strong>\u00a0et de rayon ext\u00e9rieur\u00a0<strong>r\u00a0<sub>Zr, 1<\/sub>\u00a0= 0,465 cm<\/strong>\u00a0.\u00a0En comparaison avec les pastilles de combustible, la gaine de combustible ne g\u00e9n\u00e8re presque pas de chaleur (la gaine est\u00a0<a title=\"Lib\u00e9ration d'\u00e9nergie de la fission\" href=\"https:\/\/www.nuclear-power.com\/nuclear-power\/fission\/energy-release-from-fission\/\">l\u00e9g\u00e8rement chauff\u00e9e par rayonnement<\/a>\u00a0).\u00a0Toute la chaleur g\u00e9n\u00e9r\u00e9e dans le carburant doit \u00eatre transf\u00e9r\u00e9e par\u00a0<strong>conduction \u00e0<\/strong>\u00a0travers la gaine et la surface interne est donc plus chaude que la surface externe.<\/p>\n<p>Pour trouver la r\u00e9partition de la temp\u00e9rature \u00e0 travers la gaine, nous devons r\u00e9soudre l&#8217;\u00a0<strong>\u00e9quation de la conduction thermique<\/strong>\u00a0.\u00a0En raison de la sym\u00e9trie dans la direction z et dans la direction azimutale, nous pouvons s\u00e9parer les variables et simplifier ce probl\u00e8me en probl\u00e8me \u00e0 une dimension.\u00a0Ainsi, nous allons r\u00e9soudre pour la temp\u00e9rature en fonction du rayon, T (r), seulement.\u00a0Dans cet exemple, nous supposerons qu&#8217;il n&#8217;y a strictement aucune g\u00e9n\u00e9ration de chaleur dans la gaine.\u00a0Pour une conductivit\u00e9 thermique constante, k, la forme appropri\u00e9e de l&#8217;\u00e9quation de chaleur cylindrique est la suivante:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20241 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding.png\" alt=\"\u00e9quation de la chaleur - rev\u00eatement\" width=\"190\" height=\"72\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding.png\" \/><\/a><\/p>\n<p>La solution g\u00e9n\u00e9rale de cette \u00e9quation est la suivante:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-general-solution.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20242 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-general-solution.png\" alt=\"\u00e9quation de la chaleur - rev\u00eatement - solution g\u00e9n\u00e9rale\" width=\"245\" height=\"133\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-general-solution.png\" \/><\/a><\/p>\n<p>o\u00f9 C\u00a0<sub>1<\/sub>\u00a0et C\u00a0<sub>2<\/sub>\u00a0sont les constantes d&#8217;int\u00e9gration.<\/p>\n<p>1)<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermal-conduction-fuel-pellet.png\"><img loading=\"lazy\" class=\"alignright size-medium wp-image-20223 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermal-conduction-fuel-pellet-244x300.png\" alt=\"Conduction thermique - pastille de combustible\" width=\"244\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermal-conduction-fuel-pellet-244x300.png\" \/><\/a><\/p>\n<p>Calculez la distribution de temp\u00e9rature, T (r), dans ce rev\u00eatement de combustible, si:<\/p>\n<ul>\n<li>la temp\u00e9rature \u00e0 la surface int\u00e9rieure du rev\u00eatement est T\u00a0<sub>Zr, 2<\/sub>\u00a0= 360 \u00b0 C<\/li>\n<li>la temp\u00e9rature du liquide de refroidissement du r\u00e9acteur \u00e0 cette coordonn\u00e9e axiale est T\u00a0<sub>bulk<\/sub>\u00a0= 300 \u00b0 C<\/li>\n<li>le coefficient de transfert de chaleur (convection; \u00e9coulement turbulent) est h = 41 kW \/ m\u00a0<sup>2<\/sup>\u00a0.K.<\/li>\n<li>la conductivit\u00e9 moyenne du mat\u00e9riau est k = 18 W \/ mK<\/li>\n<li>le taux de chaleur lin\u00e9aire du combustible est q\u00a0<sub>L<\/sub>\u00a0= 300 W \/ cm et donc le taux de chaleur volum\u00e9trique est q\u00a0<sub>V<\/sub>\u00a0= 597 x 10\u00a0<sup>6<\/sup>\u00a0W \/ m\u00a0<sup>3<\/sup><\/li>\n<\/ul>\n<p>\u00c0 partir de la relation de base pour le transfert de chaleur par convection, nous pouvons calculer la surface ext\u00e9rieure du rev\u00eatement comme:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/newtons-law-cladding.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20269 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/newtons-law-cladding.png\" alt=\"loi newtons - bardage\" width=\"423\" height=\"299\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/newtons-law-cladding.png\" \/><\/a><\/p>\n<p>Comme on peut le voir, dans ce cas \u00e9galement, nous avons donn\u00e9 des temp\u00e9ratures de surface T\u00a0<sub>Zr, 1<\/sub>\u00a0et T\u00a0<sub>Zr, 2<\/sub>\u00a0.\u00a0Cela correspond \u00e0 la condition aux limites de Dirichlet.\u00a0Les constantes peuvent \u00eatre \u00e9valu\u00e9es en utilisant la substitution dans la solution g\u00e9n\u00e9rale et sont de la forme:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-general-solution-cladding.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20264 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-general-solution-cladding.png\" alt=\"\u00e9quation de chaleur - solution g\u00e9n\u00e9rale - bardage\" width=\"352\" height=\"53\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-general-solution-cladding.png\" \/><\/a><\/p>\n<p>En r\u00e9solvant C\u00a0<sub>1<\/sub>\u00a0et C\u00a0<sub>2<\/sub>\u00a0et en rempla\u00e7ant dans la solution g\u00e9n\u00e9rale, on obtient alors:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-solution.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20265 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-solution.png\" alt=\"\u00e9quation de chaleur - rev\u00eatement - solution\" width=\"381\" height=\"84\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-cladding-solution.png\" \/><\/a><\/p>\n<p><strong>\u2206T &#8211; surface de rev\u00eatement &#8211; liquide de refroidissement<\/strong><\/p>\n<p>Une connaissance d\u00e9taill\u00e9e de la g\u00e9om\u00e9trie, du rayon ext\u00e9rieur du rev\u00eatement, du taux de chaleur lin\u00e9aire, du coefficient de transfert de chaleur par convection et de la temp\u00e9rature du liquide de refroidissement d\u00e9termine\u00a0<strong>\u2206T<\/strong>\u00a0entre le liquide de refroidissement (T en\u00a0<sub>vrac<\/sub>\u00a0) et la surface du rev\u00eatement (T\u00a0<sub>Zr, 1<\/sub>\u00a0).\u00a0Par cons\u00e9quent, nous pouvons calculer la temp\u00e9rature de surface de la gaine (T\u00a0<sub>Zr, 1<\/sub>\u00a0) simplement en utilisant la\u00a0<strong>loi de Newton<\/strong>\u00a0:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/%E2%88%86T-cladding-surface-coolant-newtons-law.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20266 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/%E2%88%86T-cladding-surface-coolant-newtons-law.png\" alt=\"\u2206T - rev\u00eatement - liquide de refroidissement - loi de newtons\" width=\"425\" height=\"306\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/\u2206T-cladding-surface-coolant-newtons-law.png\" \/><\/a><\/p>\n<p><strong>\u2206T dans la gaine de combustible<\/strong><\/p>\n<p>Une connaissance d\u00e9taill\u00e9e de la g\u00e9om\u00e9trie, du rayon ext\u00e9rieur et int\u00e9rieur du rev\u00eatement, du taux de chaleur lin\u00e9aire et de la temp\u00e9rature de surface du rev\u00eatement (T\u00a0<sub>Zr, 1<\/sub>\u00a0) d\u00e9termine\u00a0<strong>\u2206T<\/strong>\u00a0entre les surfaces ext\u00e9rieure et int\u00e9rieure du rev\u00eatement.\u00a0Par cons\u00e9quent, nous pouvons calculer la temp\u00e9rature de surface du rev\u00eatement int\u00e9rieur (T\u00a0<sub>Zr, 2<\/sub>\u00a0) simplement en utilisant la\u00a0<strong>loi de Fourier<\/strong>\u00a0:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/%E2%88%86T-in-fuel-cladding-fouriers-law.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20267 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/%E2%88%86T-in-fuel-cladding-fouriers-law.png\" alt=\"\u2206T dans la gaine combustible - loi de Fouriers\" width=\"370\" height=\"460\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/\u2206T-in-fuel-cladding-fouriers-law.png\" \/><\/a><\/p>\n<\/div>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>Cet article est bas\u00e9 sur la traduction automatique de l&#8217;article original en anglais. Pour plus d&#8217;informations, voir l&#8217;article en anglais. Pouvez vous nous aider Si vous souhaitez corriger la traduction, envoyez-la \u00e0 l&#8217;adresse: translations@nuclear-power.com ou remplissez le formulaire de traduction en ligne. Nous appr\u00e9cions votre aide, nous mettrons \u00e0 jour la traduction le plus rapidement possible. Merci<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Distribution de la temp\u00e9rature dans le rev\u00eatement de carburant.\u00a0La gaine est la couche ext\u00e9rieure des barres de combustible, entre le fluide de refroidissement du r\u00e9acteur et le combustible nucl\u00e9aire (c&#8217;est-\u00e0-dire les pastilles de combustible) Distribution de la temp\u00e9rature dans le rev\u00eatement de carburant La gaine\u00a0est la couche externe des barres de combustible, situ\u00e9e entre le\u00a0fluide &#8230; <a title=\"Qu&#8217;est-ce que la distribution de la temp\u00e9rature dans une gaine de combustible &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-distribution-de-la-temperature-dans-une-gaine-de-combustible-definition\/\" aria-label=\"En savoir plus sur Qu&#8217;est-ce que la distribution de la temp\u00e9rature dans une gaine de combustible &#8211; D\u00e9finition\">Lire la suite<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[8],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Qu&#039;est-ce que la distribution de la temp\u00e9rature dans une gaine de combustible - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Distribution de la temp\u00e9rature dans le rev\u00eatement de carburant. 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