{"id":44056,"date":"2019-10-14T15:45:28","date_gmt":"2019-10-14T14:45:28","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-que-lequation-thermique-en-coordonnees-cylindriques-et-spheriques-definition\/"},"modified":"2020-02-17T17:21:36","modified_gmt":"2020-02-17T16:21:36","slug":"quest-ce-que-lequation-thermique-en-coordonnees-cylindriques-et-spheriques-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-thermique-en-coordonnees-cylindriques-et-spheriques-definition\/","title":{"rendered":"Qu’est-ce que l’\u00e9quation thermique en coordonn\u00e9es cylindriques et sph\u00e9riques – D\u00e9finition"},"content":{"rendered":"
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L’\u00e9quation g\u00e9n\u00e9rale de la conduction thermique en coordonn\u00e9es cylindriques peut \u00eatre obtenue \u00e0 partir d’un bilan \u00e9nerg\u00e9tique d’un \u00e9l\u00e9ment de volume en coordonn\u00e9es cylindriques.\u00a0G\u00e9nie thermique<\/div>\n<\/div>\n
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Equation de chaleur en coordonn\u00e9es cylindriques et sph\u00e9riques<\/h2>\n

En ing\u00e9nierie, il y a beaucoup de probl\u00e8mes, qui ne peuvent pas \u00eatre r\u00e9solus en coordonn\u00e9es cart\u00e9siennes.\u00a0Les\u00a0<\/strong>syst\u00e8mes\u00a0<\/strong>cylindriques<\/strong>\u00a0et\u00a0sph\u00e9riques<\/strong>\u00a0sont tr\u00e8s courants en thermique et en particulier en g\u00e9nie \u00e9lectrique.\u00a0L’\u00e9quation de la chaleur peut \u00e9galement \u00eatre exprim\u00e9e en coordonn\u00e9es cylindriques et sph\u00e9riques.\u00a0L’\u00a0\u00e9quation\u00a0g\u00e9n\u00e9rale de la conduction thermique<\/strong>\u00a0en\u00a0coordonn\u00e9es cylindriques<\/strong>\u00a0peut \u00eatre obtenue \u00e0 partir d’un bilan \u00e9nerg\u00e9tique d’un \u00e9l\u00e9ment de volume en coordonn\u00e9es cylindriques et \u00e0 l’aide de l’\u00a0op\u00e9rateur de Laplace, \u0394, sous forme cylindrique et sph\u00e9rique<\/strong>\u00a0.<\/p>\n

Coordonn\u00e9es cylindriques:<\/strong><\/p>\n

\"\u00e9quation<\/a><\/p>\n

Coordonn\u00e9es sph\u00e9riques:<\/strong><\/p>\n

\"\u00e9quation<\/a><\/p>\n

Obtenir des solutions analytiques \u00e0 ces \u00e9quations diff\u00e9rentielles n\u00e9cessite une connaissance des techniques de r\u00e9solution des \u00e9quations diff\u00e9rentielles partielles, ce qui d\u00e9passe le cadre de ce texte.\u00a0Par ailleurs, de nombreuses simplifications et hypoth\u00e8ses pouvant \u00eatre appliqu\u00e9es \u00e0 ces \u00e9quations donnent lieu \u00e0 des r\u00e9sultats tr\u00e8s importants.\u00a0Dans la section suivante, nous limiterons notre examen aux cas unidimensionnels \u00e0 l’\u00e9tat stable \u00e0 conductivit\u00e9 thermique constante, car ils conduisent \u00e0 des \u00e9quations diff\u00e9rentielles ordinaires.<\/p>\n<\/div>\n<\/div>\n

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Cet article est bas\u00e9 sur la traduction automatique de l’article original en anglais. Pour plus d’informations, voir l’article en anglais. Pouvez vous nous aider Si vous souhaitez corriger la traduction, envoyez-la \u00e0 l’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<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

L’\u00e9quation g\u00e9n\u00e9rale de la conduction thermique en coordonn\u00e9es cylindriques peut \u00eatre obtenue \u00e0 partir d’un bilan \u00e9nerg\u00e9tique d’un \u00e9l\u00e9ment de volume en coordonn\u00e9es cylindriques.\u00a0G\u00e9nie thermique Equation de chaleur en coordonn\u00e9es cylindriques et sph\u00e9riques En ing\u00e9nierie, il y a beaucoup de probl\u00e8mes, qui ne peuvent pas \u00eatre r\u00e9solus en coordonn\u00e9es cart\u00e9siennes.\u00a0Les\u00a0syst\u00e8mes\u00a0cylindriques\u00a0et\u00a0sph\u00e9riques\u00a0sont tr\u00e8s courants en thermique et … 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":"\nQu'est-ce que l'\u00e9quation thermique en coordonn\u00e9es cylindriques et sph\u00e9riques - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"L'\u00e9quation g\u00e9n\u00e9rale de la conduction thermique en coordonn\u00e9es cylindriques peut \u00eatre obtenue \u00e0 partir d'un bilan \u00e9nerg\u00e9tique d'un \u00e9l\u00e9ment de volume en coordonn\u00e9es cylindriques. 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