{"id":44048,"date":"2019-10-14T15:11:56","date_gmt":"2019-10-14T14:11:56","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-quune-condition-de-frontiere-dinterface-definition\/"},"modified":"2020-02-17T17:20:26","modified_gmt":"2020-02-17T16:20:26","slug":"quest-ce-quune-condition-de-frontiere-dinterface-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quune-condition-de-frontiere-dinterface-definition\/","title":{"rendered":"Qu&#8217;est-ce qu&#8217;une condition de fronti\u00e8re d&#8217;interface &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Dans les probl\u00e8mes de transfert de chaleur, la condition limite de l&#8217;interface peut \u00eatre utilis\u00e9e lorsque le mat\u00e9riau est constitu\u00e9 de couches de mat\u00e9riaux diff\u00e9rents.\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>Condition de fronti\u00e8re d&#8217;interface<\/h2>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/interface-boundary-condition-figure.png\"><img loading=\"lazy\" class=\"alignright size-full wp-image-20185 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/interface-boundary-condition-figure.png\" alt=\"condition aux limites de l'interface\" width=\"387\" height=\"738\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/interface-boundary-condition-figure.png\" \/><\/a>Dans les probl\u00e8mes de transfert de chaleur, la\u00a0<strong>condition limite de<\/strong>\u00a0l&#8217;\u00a0<strong>interface<\/strong>\u00a0peut \u00eatre utilis\u00e9e lorsque le mat\u00e9riau est constitu\u00e9 de couches de mat\u00e9riaux diff\u00e9rents.\u00a0La solution d&#8217;un probl\u00e8me de transfert de chaleur dans un tel milieu n\u00e9cessite la r\u00e9solution du probl\u00e8me de transfert de chaleur dans chaque couche et il faut sp\u00e9cifier une condition d&#8217;interface \u00e0 chaque interface.\u00a0Les\u00a0<strong>conditions<\/strong>\u00a0aux\u00a0<strong>limites d&#8217;interface<\/strong>\u00a0au niveau d&#8217;une interface sont bas\u00e9es sur les deux exigences suivantes:<\/p>\n<ul>\n<li>deux corps en contact doivent avoir la m\u00eame temp\u00e9rature au niveau de la zone de contact (c&#8217;est-\u00e0-dire un contact id\u00e9al sans r\u00e9sistance de contact)<\/li>\n<li>une interface ne peut stocker aucune \u00e9nergie, et par cons\u00e9quent, la conduction thermique \u00e0 la surface du premier mat\u00e9riau est \u00e9gale \u00e0 la conduction thermique \u00e0 la surface du deuxi\u00e8me mat\u00e9riau<\/li>\n<\/ul>\n<p>Il est \u00e0 noter que lorsque les composants sont boulonn\u00e9s ou press\u00e9s d\u2019une autre mani\u00e8re, il est \u00e9galement n\u00e9cessaire de conna\u00eetre les performances thermiques de tels joints.\u00a0Dans ces syst\u00e8mes composites, la chute de temp\u00e9rature \u00e0 l&#8217;interface entre les mat\u00e9riaux peut \u00eatre appr\u00e9ciable.\u00a0Cette chute de temp\u00e9rature est caract\u00e9ris\u00e9e par le\u00a0<a title=\"R\u00e9sistance de contact thermique - Conductance de contact thermique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/heat-transfer\/thermal-conduction\/thermal-resistance-thermal-resistivity\/thermal-contact-resistance-thermal-contact-conductance\/\"><strong>coefficient de conductance de contact thermique<\/strong><\/a>\u00a0,\u00a0<strong><em>h\u00a0<\/em><\/strong><strong><em><sub>c<\/sub><\/em><\/strong>\u00a0, qui est une propri\u00e9t\u00e9 indiquant la conductivit\u00e9 thermique, ou capacit\u00e9 \u00e0 conduire la chaleur, entre deux corps en contact.<\/p>\n<p>La condition aux limites de l&#8217;interface peut \u00eatre exprim\u00e9e math\u00e9matiquement de la mani\u00e8re d\u00e9crite dans la figure.<\/p>\n<\/div>\n<\/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>\u00c9quation g\u00e9n\u00e9rale de conduction thermique<\/h2>\n<p>L&#8217;\u00a0<strong>\u00e9quation de conduction thermique<\/strong>\u00a0est une \u00e9quation diff\u00e9rentielle partielle qui d\u00e9crit la r\u00e9partition de la\u00a0<strong>chaleur<\/strong>\u00a0(ou du\u00a0<strong>champ de temp\u00e9rature<\/strong>\u00a0) dans un corps donn\u00e9 dans le temps.\u00a0Une connaissance d\u00e9taill\u00e9e du champ de temp\u00e9rature est tr\u00e8s importante dans la conduction thermique \u00e0 travers les mat\u00e9riaux.\u00a0Une fois cette distribution de temp\u00e9rature connue, le\u00a0<strong>flux thermique de conduction<\/strong>\u00a0en un point quelconque du mat\u00e9riau ou \u00e0 sa surface peut \u00eatre calcul\u00e9 \u00e0 partir de\u00a0<a title=\"Loi de Fourier sur la conduction thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-loi-de-fourier-sur-la-conduction-thermique-definition\/\">la loi<\/a>\u00a0de\u00a0<a title=\"Loi de Fourier sur la conduction thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-loi-de-fourier-sur-la-conduction-thermique-definition\/\">Fourier<\/a>\u00a0.<\/p>\n<p>L&#8217;\u00e9quation de la chaleur est\u00a0<strong>d\u00e9riv\u00e9e<\/strong>\u00a0de\u00a0<strong>la loi<\/strong>\u00a0de\u00a0<strong>Fourier<\/strong>\u00a0et de la\u00a0<a title=\"Loi de conservation de l'\u00e9nergie\" href=\"https:\/\/www.nuclear-power.com\/laws-of-conservation\/law-of-conservation-of-energy\/\"><strong>conservation de l&#8217;\u00e9nergie<\/strong><\/a>\u00a0.\u00a0La loi de Fourier stipule que le temps\u00a0<strong>de transfert de chaleur \u00e0<\/strong>\u00a0travers un mat\u00e9riau est\u00a0<strong>proportionnel au\u00a0<\/strong><strong>gradient<\/strong>\u00a0n\u00e9gatif\u00a0<strong>de la temp\u00e9rature<\/strong>\u00a0et \u00e0 la surface, perpendiculairement \u00e0 ce gradient, \u00e0 travers lequel la chaleur s&#8217;\u00e9coule.<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Fourier%E2%80%99s-law-of-Thermal-Conduction-equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20040 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Fourier%E2%80%99s-law-of-Thermal-Conduction-equation.png\" alt=\"Loi de Fourier sur la conduction thermique\" width=\"335\" height=\"152\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Fourier\u2019s-law-of-Thermal-Conduction-equation.png\" \/><\/a><\/p>\n<p>Un changement d&#8217;\u00e9nergie interne par unit\u00e9 de volume dans le mat\u00e9riau, \u0394Q, est proportionnel au changement de temp\u00e9rature, \u0394u.\u00a0C&#8217;est:<\/p>\n<p><strong>Q = \u03c1.c\u00a0<\/strong><strong><sub>p<\/sub><\/strong><strong>\u00a0.\u2206T<\/strong><\/p>\n<p><strong><span>Forme g\u00e9n\u00e9rale<\/span><\/strong><\/p>\n<p><span>En utilisant ces deux \u00e9quations, nous pouvons d\u00e9river l&#8217;\u00e9quation g\u00e9n\u00e9rale de conduction thermique:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-general-form.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-20166 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-general-form.png\" alt=\"\u00c9quation de conduction thermique - \u00c9quation de Fourier-Biot\" width=\"543\" height=\"233\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/heat-conduction-equation-general-form.png\" \/><\/a><\/p>\n<p><span>Cette \u00e9quation est \u00e9galement connue sous le nom d&#8217;\u00a0<\/span><strong><span>\u00e9quation de Fourier-Biot<\/span><\/strong><span>\u00a0et fournit l&#8217;outil de base pour l&#8217;analyse de conduction thermique.\u00a0A partir de sa solution, on peut obtenir le champ de temp\u00e9rature en fonction du temps.<\/span><\/p>\n<p><span>En d&#8217;autres termes, l&#8217;\u00a0<\/span><strong><span>\u00e9quation de conduction thermique<\/span><\/strong><span>\u00a0indique que:<\/span><\/p>\n<p><em><span>En tout point du milieu, le taux net de transfert d&#8217;\u00e9nergie par conduction dans un volume unitaire plus le taux volum\u00e9trique de g\u00e9n\u00e9ration d&#8217;\u00e9nergie thermique doit \u00eatre \u00e9gal au taux de variation de l&#8217;\u00e9nergie thermique stock\u00e9e dans le volume.<\/span><\/em><\/p>\n<\/div>\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","protected":false},"excerpt":{"rendered":"<p>Dans les probl\u00e8mes de transfert de chaleur, la condition limite de l&#8217;interface peut \u00eatre utilis\u00e9e lorsque le mat\u00e9riau est constitu\u00e9 de couches de mat\u00e9riaux diff\u00e9rents.\u00a0G\u00e9nie thermique Condition de fronti\u00e8re d&#8217;interface Dans les probl\u00e8mes de transfert de chaleur, la\u00a0condition limite de\u00a0l&#8217;\u00a0interface\u00a0peut \u00eatre utilis\u00e9e lorsque le mat\u00e9riau est constitu\u00e9 de couches de mat\u00e9riaux diff\u00e9rents.\u00a0La solution d&#8217;un probl\u00e8me &#8230; <a title=\"Qu&#8217;est-ce qu&#8217;une condition de fronti\u00e8re d&#8217;interface &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quune-condition-de-frontiere-dinterface-definition\/\" aria-label=\"En savoir plus sur Qu&#8217;est-ce qu&#8217;une condition de fronti\u00e8re d&#8217;interface &#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 qu&#039;une condition de fronti\u00e8re d&#039;interface - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Dans les probl\u00e8mes de transfert de chaleur, la condition limite de l&#039;interface peut \u00eatre utilis\u00e9e lorsque le mat\u00e9riau est constitu\u00e9 de couches de mat\u00e9riaux diff\u00e9rents. 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