{"id":44068,"date":"2019-10-14T17:06:12","date_gmt":"2019-10-14T16:06:12","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-que-la-conduction-thermique-dans-un-grand-mur-plan-definition\/"},"modified":"2020-02-18T09:59:51","modified_gmt":"2020-02-18T08:59:51","slug":"quest-ce-que-la-conduction-thermique-dans-un-grand-mur-plan-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-conduction-thermique-dans-un-grand-mur-plan-definition\/","title":{"rendered":"Qu&#8217;est-ce que la conduction thermique dans un grand mur plan? &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Conduction de la chaleur dans un grand mur plan.\u00a0Consid\u00e9rons la paroi plane de l\u2019\u00e9paisseur 2L, dans laquelle il existe une g\u00e9n\u00e9ration de chaleur uniforme et constante par unit\u00e9 de volume, qV [W \/ m3].\u00a0G\u00e9nie thermique<\/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>Conduction thermique dans un grand mur plan<\/h2>\n<p><strong><b>Conduction thermique dans un grand mur plan<\/b><\/strong><\/p>\n<p>Consid\u00e9rons la paroi plane d&#8217;\u00e9paisseur 2L, dans laquelle il existe\u00a0<strong>une g\u00e9n\u00e9ration de chaleur uniforme et constante<\/strong>\u00a0par unit\u00e9 de volume,\u00a0<strong>q\u00a0<sub>V<\/sub>\u00a0[W \/ m\u00a0<sup>3<\/sup>\u00a0]<\/strong>\u00a0.\u00a0Le plan central est pris comme origine pour x et la dalle s&#8217;\u00e9tend de + L \u00e0 droite et &#8211; L de gauche.\u00a0Pour une\u00a0<a title=\"Conductivit\u00e9 thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-conductivite-thermique-definition\/\">conductivit\u00e9 thermique<\/a>\u00a0constante\u00a0k, la forme appropri\u00e9e de l&#8217;\u00e9quation de la chaleur est la suivante:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-heat-generation-equation.png\"><img loading=\"lazy\" class=\"size-medium wp-image-20229 aligncenter lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-heat-generation-equation-300x96.png\" alt=\"\u00e9quation de chaleur - g\u00e9n\u00e9ration de chaleur - \u00e9quation\" width=\"300\" height=\"96\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-equation-heat-generation-equation-300x96.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-conduction-equation-general-solution.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20230 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-general-solution.png\" alt=\"\u00e9quation de conduction thermique - solution g\u00e9n\u00e9rale\" width=\"290\" height=\"150\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-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\/Heat-Conduction-in-a-Large-Plane-Wall-figure.png\"><img loading=\"lazy\" class=\"alignright size-medium wp-image-20228 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Heat-Conduction-in-a-Large-Plane-Wall-figure-300x276.png\" alt=\"Conduction thermique dans un grand mur plan\" width=\"300\" height=\"276\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Heat-Conduction-in-a-Large-Plane-Wall-figure-300x276.png\" \/><\/a><\/p>\n<p><span>Calculez la distribution de temp\u00e9rature, T (x), \u00e0 travers cette \u00e9paisse paroi plane, si:<\/span><\/p>\n<ul>\n<li><span>les temp\u00e9ratures sur les deux surfaces sont de 15,0 \u00b0 C<\/span><\/li>\n<li><span>l&#8217;\u00e9paisseur de cette paroi est de 2L = 10 mm.<\/span><\/li>\n<li><span>la conductivit\u00e9 des mat\u00e9riaux est k = 2,8 W \/ mK (correspond au dioxyde d&#8217;uranium \u00e0 1000 \u00b0 C)<\/span><\/li>\n<li><span>le taux de chaleur volum\u00e9trique est q\u00a0<\/span><sub><span>V<\/span><\/sub><span>\u00a0= 10\u00a0<\/span><sup><span>6<\/span><\/sup><span>\u00a0W \/ m\u00a0<\/span><sup><span>3<\/span><\/sup><\/li>\n<\/ul>\n<p><span>Dans ce cas, les surfaces sont maintenues \u00e0 des temp\u00e9ratures donn\u00e9es T\u00a0<\/span><sub><span>s, 1<\/span><\/sub><span>\u00a0et T\u00a0<\/span><sub><span>s, 2<\/span><\/sub><span>\u00a0.\u00a0Cela correspond \u00e0 la\u00a0<\/span><a title=\"Conditions aux limites de Dirichlet - Conditions aux limites de type I\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/heat-transfer\/thermal-conduction\/heat-conduction-equation\/dirichlet-boundary-condition-type-i-boundary-condition\/\"><span>condition aux limites de Dirichlet<\/span><\/a><span>\u00a0.\u00a0De plus, ce probl\u00e8me est thermiquement sym\u00e9trique et, par cons\u00e9quent, nous pouvons \u00e9galement utiliser\u00a0<\/span><a title=\"Limite adiabatique - Sym\u00e9trie thermique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/heat-transfer\/thermal-conduction\/heat-conduction-equation\/adiabatic-boundary-thermal-symmetry\/\"><span>la condition aux limites de sym\u00e9trie thermique<\/span><\/a><span>\u00a0.\u00a0Les constantes peuvent \u00eatre \u00e9valu\u00e9es en utilisant la substitution dans la solution g\u00e9n\u00e9rale et sont de la forme:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-boundary-conditions.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20231 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-boundary-conditions.png\" alt=\"\u00e9quation de conduction thermique - conditions aux limites\" width=\"428\" height=\"110\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-boundary-conditions.png\" \/><\/a><\/p>\n<p><span>La distribution de temp\u00e9rature r\u00e9sultante et la temp\u00e9rature de la ligne centrale (x = 0) (maximale) dans cette paroi plane \u00e0 ces conditions aux limites sp\u00e9cifiques seront:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-solution.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20232 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-solution.png\" alt=\"\u00e9quation de conduction thermique - solution\" width=\"608\" height=\"210\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-solution.png\" \/><\/a><\/p>\n<p><span>Le\u00a0<\/span><a title=\"Densit\u00e9 de flux thermique - Flux thermique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/heat-transfer\/introduction-to-heat-transfer\/heat-flux-density-thermal-flux\/\"><span>flux de chaleur<\/span><\/a><span>\u00a0en tout point, q\u00a0<\/span><sub><span>x<\/span><\/sub><span>\u00a0[Wm\u00a0<\/span><sup><span>-2<\/span><\/sup><span>\u00a0], dans la paroi peut, bien s\u00fbr, \u00eatre d\u00e9termin\u00e9 en utilisant la distribution de temp\u00e9rature et avec la\u00a0<\/span><a title=\"Loi de Fourier de la conduction thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-loi-de-fourier-sur-la-conduction-thermique-definition\/\"><strong><span>loi de Fourier<\/span><\/strong><\/a><span>\u00a0.\u00a0Notez qu&#8217;avec la g\u00e9n\u00e9ration de chaleur, le flux de chaleur n&#8217;est plus ind\u00e9pendant de x, donc:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-condution-through-wall.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20233 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-condution-through-wall.png\" alt=\"conduction de chaleur \u00e0 travers le mur\" width=\"315\" height=\"178\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-condution-through-wall.png\" \/><\/a><\/p>\n<p><strong><span>Exemple d&#8217;\u00e9quation de chaleur &#8211; probl\u00e8me avec la solution<\/span><\/strong><\/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>Conduction de la chaleur dans un grand mur plan.\u00a0Consid\u00e9rons la paroi plane de l\u2019\u00e9paisseur 2L, dans laquelle il existe une g\u00e9n\u00e9ration de chaleur uniforme et constante par unit\u00e9 de volume, qV [W \/ m3].\u00a0G\u00e9nie thermique Conduction thermique dans un grand mur plan Conduction thermique dans un grand mur plan Consid\u00e9rons la paroi plane d&#8217;\u00e9paisseur 2L, &#8230; <a title=\"Qu&#8217;est-ce que la conduction thermique dans un grand mur plan? &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-conduction-thermique-dans-un-grand-mur-plan-definition\/\" aria-label=\"En savoir plus sur Qu&#8217;est-ce que la conduction thermique dans un grand mur plan? &#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 conduction thermique dans un grand mur plan? - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Conduction de la chaleur dans un grand mur plan. 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