{"id":45231,"date":"2019-10-17T19:42:49","date_gmt":"2019-10-17T18:42:49","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-que-lexpansion-adiabatique-compression-adiabatique-definition\/"},"modified":"2020-02-23T15:54:11","modified_gmt":"2020-02-23T14:54:11","slug":"quest-ce-que-lexpansion-adiabatique-compression-adiabatique-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lexpansion-adiabatique-compression-adiabatique-definition\/","title":{"rendered":"Qu&#8217;est-ce que l&#8217;expansion adiabatique &#8211; Compression adiabatique &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Expansion Adiabatique &#8211; Compression Adiabatique.\u00a0La compression et la dilatation adiabatiques sont des processus tr\u00e8s importants dans l&#8217;analyse thermique des centrales thermiques.\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-50 lgc-tablet-grid-50 lgc-mobile-grid-100 lgc-equal-heights lgc-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Processus adiabatique<\/h2>\n<p>Un\u00a0<strong>processus adiabatique<\/strong>\u00a0est un\u00a0<a title=\"Processus thermodynamiques\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quun-processus-thermodynamique-definition\/\">processus thermodynamique<\/a>\u00a0dans lequel il n&#8217;y a\u00a0<strong>pas de transfert de chaleur<\/strong>\u00a0dans ou hors du syst\u00e8me (Q = 0).\u00a0Le syst\u00e8me peut \u00eatre consid\u00e9r\u00e9 comme\u00a0<strong>parfaitement isol\u00e9<\/strong>\u00a0.\u00a0Dans un processus adiabatique, l\u2019\u00e9nergie n\u2019est transf\u00e9r\u00e9e qu\u2019en tant que travail.\u00a0L&#8217;hypoth\u00e8se d&#8217;absence de transfert de chaleur est tr\u00e8s importante, car l&#8217;approximation adiabatique ne peut \u00eatre utilis\u00e9e que dans\u00a0<strong>des processus tr\u00e8s rapides<\/strong>\u00a0.\u00a0Dans ces processus rapides, le transfert d&#8217;\u00e9nergie sous forme de chaleur vers ou depuis le syst\u00e8me est insuffisant.<\/p>\n<p>Dans les appareils r\u00e9els (comme les turbines, les pompes et les compresseurs),\u00a0<strong>des pertes de chaleur<\/strong>\u00a0et des pertes dans le processus de combustion se produisent, mais ces pertes sont g\u00e9n\u00e9ralement faibles par rapport au flux \u00e9nerg\u00e9tique global et nous pouvons approcher certains processus thermodynamiques par le processus adiabatique.<\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-50 lgc-tablet-grid-50 lgc-mobile-grid-100 lgc-equal-heights lgc-last\">\n<div class=\"inside-grid-column\">\n<figure id=\"attachment_17354\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17354\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\"><img loading=\"lazy\" class=\"size-full wp-image-17354 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\" alt=\"Principales caract\u00e9ristiques du processus adiabatique\" width=\"380\" height=\"564\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\" \/><\/a><figcaption id=\"caption-attachment-17354\" class=\"wp-caption-text\">Principales caract\u00e9ristiques du processus adiabatique<\/figcaption><\/figure>\n<p>Voir aussi:\u00a0<a title=\"Premi\u00e8re loi de la thermodynamique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-premiere-loi-de-la-thermodynamique-definition\/\">Premi\u00e8re loi de la thermodynamique<\/a><\/p>\n<p>Voir aussi:\u00a0<a title=\"Loi sur le gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\">Loi sur les gaz parfaits<\/a><\/p>\n<p>Voir aussi:\u00a0<a title=\"Qu'est-ce que l'enthalpie?\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\">Qu&#8217;est-ce que l&#8217;enthalpie?<\/a><\/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>Expansion adiabatique &#8211; Compression adiabatique<\/h2>\n<p>Voir aussi:\u00a0<a title=\"Quel est le gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/what-is-ideal-gas\/\">Qu&#8217;est-ce qu&#8217;un gaz parfait?<\/a><\/p>\n<p>Dans un\u00a0<a title=\"Quel est le gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/what-is-ideal-gas\/\">gaz parfait<\/a>\u00a0, les mol\u00e9cules n&#8217;ont pas de volume et n&#8217;interagissent pas.\u00a0Selon la\u00a0<a title=\"Loi sur le gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\">loi des gaz parfaits<\/a>\u00a0, la\u00a0<a title=\"Qu'est-ce que la pression - Physique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\">pression<\/a>\u00a0varie lin\u00e9airement avec la\u00a0<a title=\"Quelle est la temp\u00e9rature - Physique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-temperature-physique-definition\/\">temp\u00e9rature<\/a>\u00a0et la quantit\u00e9, et inversement avec le\u00a0<a title=\"Qu'est-ce que le volume - Physique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-volume-physics\/\">volume<\/a>\u00a0.<\/p>\n<p><strong><em>pV = nRT<\/em><\/strong><\/p>\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<p><span>o\u00f9:<\/span><\/p>\n<ul>\n<li><em><span>p<\/span><\/em><span>\u00a0est la pression absolue du gaz<\/span><\/li>\n<li><em><span>n<\/span><\/em><span>\u00a0est la quantit\u00e9 de substance<\/span><\/li>\n<li><em><span>T<\/span><\/em><span>\u00a0est la temp\u00e9rature absolue<\/span><\/li>\n<li><em><span>V<\/span><\/em><span>\u00a0est le volume<\/span><\/li>\n<li><em><span>R<\/span><\/em><span>\u00a0\u00a0est la constante de gaz parfaite ou universelle, \u00e9gale au produit de la constante de Boltzmann et de la constante d&#8217;Avogadro,<\/span><\/li>\n<\/ul>\n<p><span>Dans cette \u00e9quation, le symbole R est une constante appel\u00e9e constante de\u00a0<\/span><strong><span>gaz universelle<\/span><\/strong><span>\u00a0qui a la m\u00eame valeur pour tous les gaz, \u00e0 savoir R = 8,31 J \/ mol K.<\/span><\/p>\n<p><span>Le\u00a0<\/span><strong><span>processus adiabatique<\/span><\/strong><span>\u00a0\u00a0peut s&#8217;exprimer avec la\u00a0<\/span><strong><span>loi du gaz parfait<\/span><\/strong><span>\u00a0comme:<\/span><\/p>\n<p><strong><em><span>pV\u00a0<\/span><sup><span>\u03ba<\/span><\/sup><span>\u00a0= constant<\/span><\/em><\/strong><\/p>\n<p><span>ou<\/span><\/p>\n<p><em><strong><span>p\u00a0<\/span><sub><span>1<\/span><\/sub><span>\u00a0V\u00a0<\/span><sub><span>1\u00a0<\/span><\/sub><sup><span>\u03ba<\/span><\/sup><span>\u00a0= p\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0V\u00a0<\/span><sub><span>2\u00a0<\/span><\/sub><sup><span>\u03ba<\/span><\/sup><\/strong><\/em><\/p>\n<p><span>dans laquelle\u00a0<\/span><strong><span>\u03ba = c\u00a0<\/span><sub><span>p<\/span><\/sub><span>\u00a0\/ c\u00a0<\/span><sub><span>v<\/span><\/sub><\/strong><span>\u00a0est le rapport des\u00a0<a title=\"Capacit\u00e9 calorifique - Capacit\u00e9 calorifique sp\u00e9cifique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/heat-capacity\/\"><strong>chaleurs sp\u00e9cifiques<\/strong><\/a>\u00a0(ou\u00a0<strong>capacit\u00e9s calorifiques<\/strong>\u00a0) pour le gaz.\u00a0Un pour\u00a0<strong>une pression constante (c\u00a0<\/strong><strong><sub>p<\/sub><\/strong><strong>\u00a0)<\/strong>\u00a0et un pour\u00a0<strong>un volume constant (c\u00a0<\/strong><strong><sub>v<\/sub><\/strong><strong>\u00a0)<\/strong>\u00a0.\u00a0Notez que ce rapport\u00a0<strong>\u03ba\u00a0\u00a0<\/strong><strong>= c\u00a0<\/strong><strong><sub>p<\/sub><\/strong><strong>\u00a0\/ c\u00a0<\/strong><strong><sub>v<\/sub><\/strong>\u00a0est un facteur d\u00e9terminant la vitesse du son dans un gaz et d&#8217;autres processus adiabatiques.<\/span><\/p>\n<p><strong><span>Autre relation p, V, T<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17281 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" alt=\"Relation p, V, T - processus isentropique\" width=\"209\" height=\"72\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" \/><\/a><\/p>\n<p><span>Sur un\u00a0<\/span><strong><span>diagramme pV<\/span><\/strong><span>\u00a0, le processus se produit le long d&#8217;une ligne (appel\u00e9e\u00a0<\/span><strong><span>adiabat<\/span><\/strong><span>\u00a0) qui a l&#8217;\u00e9quation\u00a0<\/span><strong><span>p = constante \/ V\u00a0<\/span><sup><span>\u03ba<\/span><\/sup><\/strong><span>\u00a0.\u00a0<\/span><strong><span>Pour un gaz parfait et un processus polytropique, le cas\u00a0<\/span><i><span>n = \u03ba\u00a0<\/span><\/i><\/strong><span><strong>correspond \u00e0 un processus adiabatique.<\/strong><\/span><i>\u00a0\u00a0<\/i><\/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><span>Exemple d&#8217;expansion adiabatique<\/span><\/h2>\n<figure id=\"attachment_17362\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17362\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17362 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process-300x251.png\" alt=\"Diagramme PV - processus adiabatique\" width=\"300\" height=\"251\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process-300x251.png\" \/><\/a><figcaption id=\"caption-attachment-17362\" class=\"wp-caption-text\"><span>Supposons une expansion adiabatique de l&#8217;h\u00e9lium (3 \u2192 4) dans une turbine \u00e0 gaz (cycle de Brayton).<\/span><\/figcaption><\/figure>\n<p><span>Supposons une\u00a0<\/span><strong><span>expansion adiabatique<\/span><\/strong><span>\u00a0d&#8217;h\u00e9lium (\u00a0<\/span><strong><span>3 \u2192 4<\/span><\/strong><span>\u00a0) dans une\u00a0<\/span><strong><span>turbine \u00e0 gaz<\/span><\/strong><span>\u00a0.\u00a0L&#8217;h\u00e9lium se comportant presque comme un\u00a0<\/span><a title=\"Qu'est-ce que le gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/what-is-ideal-gas\/\"><span>gaz parfait<\/span><\/a><span>\u00a0, utilisez la\u00a0<\/span><a title=\"Loi du gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><span>loi du gaz parfait<\/span><\/a><span>\u00a0pour calculer la\u00a0<\/span><strong><span>temp\u00e9rature<\/span><\/strong><span>\u00a0de\u00a0<strong>sortie<\/strong>\u00a0du gaz (\u00a0<\/span><strong><span>T\u00a0<\/span><sub><span>4, r\u00e9el<\/span><\/sub><\/strong><span>\u00a0).\u00a0Dans ces turbines, l&#8217;\u00e9tage haute pression re\u00e7oit du gaz (point 3 sur la figure; p\u00a0<\/span><sub><span>3<\/span><\/sub><span>\u00a0=\u00a0<\/span><strong><span>6,7 MPa<\/span><\/strong><span>\u00a0;\u00a0<\/span><strong><span>T\u00a0<\/span><sub><span>3<\/span><\/sub><span>\u00a0= 1190 K<\/span><\/strong><span>\u00a0(917 \u00b0 C)) d&#8217;un \u00e9changeur de chaleur et l&#8217;\u00e9vacue vers un autre \u00e9changeur de chaleur, o\u00f9 la pression de sortie est p\u00a0<\/span><sub><span>4<\/span><\/sub><span>\u00a0=\u00a0<\/span><strong><span>2,78 MPa<\/span><\/strong><span>\u00a0(point 4)\u00a0<\/span><strong><span>.<\/span><\/strong><\/p>\n<p><strong><span>Solution:<\/span><\/strong><\/p>\n<p><span>La temp\u00e9rature de sortie du gaz, T\u00a0<\/span><sub><span>4, r\u00e9el<\/span><\/sub><span>\u00a0, peut \u00eatre calcul\u00e9e en utilisant la\u00a0<\/span><strong><span>relation p, V, T<\/span><\/strong><span>\u00a0pour le processus adiabatique.\u00a0Notez que, c&#8217;est la m\u00eame relation que pour le\u00a0<\/span><a title=\"Processus isentropique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quel-est-le-processus-isentropique-definition\/\"><span>processus isentropique<\/span><\/a><span>\u00a0, donc les r\u00e9sultats doivent \u00eatre identiques.\u00a0Dans ce cas, nous calculons l&#8217;expansion pour diff\u00e9rentes turbines \u00e0 gaz (moins efficaces) comme dans le cas d&#8217;une\u00a0<\/span><strong><span>expansion isentropique dans une turbine \u00e0 gaz.<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17281 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" alt=\"Relation p, V, T - processus isentropique\" width=\"209\" height=\"72\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" \/><\/a><\/p>\n<p><span>Dans cette \u00e9quation, le facteur pour l&#8217;h\u00e9lium est \u00e9gal \u00e0\u00a0<\/span><strong><span>\u03ba\u00a0<\/span><\/strong><strong><span>= c\u00a0<\/span><sub><span>p<\/span><\/sub><span>\u00a0\/ c\u00a0<\/span><sub><span>v<\/span><\/sub><span>\u00a0= 1,66<\/span><\/strong><span>\u00a0.\u00a0Il r\u00e9sulte de l&#8217;\u00e9quation pr\u00e9c\u00e9dente que la temp\u00e9rature de sortie du gaz,\u00a0<\/span><strong><span>T\u00a0<\/span><sub><span>4, r\u00e9el<\/span><\/sub><\/strong><span>\u00a0, est:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17307 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\" alt=\"processus adiabatique - exemple\" width=\"518\" height=\"80\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\" \/><\/a><\/p>\n<p><span>Voir aussi:\u00a0\u00a0<\/span><a title=\"La relation de Mayer - La formule de Mayer\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/mayers-relation-mayers-formula\/\"><strong><span>la relation de Mayer<\/span><\/strong><\/a><\/p>\n<\/div>\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<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Expansion Adiabatique &#8211; Compression Adiabatique.\u00a0La compression et la dilatation adiabatiques sont des processus tr\u00e8s importants dans l&#8217;analyse thermique des centrales thermiques.\u00a0G\u00e9nie thermique Processus adiabatique Un\u00a0processus adiabatique\u00a0est un\u00a0processus thermodynamique\u00a0dans lequel il n&#8217;y a\u00a0pas de transfert de chaleur\u00a0dans ou hors du syst\u00e8me (Q = 0).\u00a0Le syst\u00e8me peut \u00eatre consid\u00e9r\u00e9 comme\u00a0parfaitement isol\u00e9\u00a0.\u00a0Dans un processus adiabatique, l\u2019\u00e9nergie n\u2019est transf\u00e9r\u00e9e &#8230; <a title=\"Qu&#8217;est-ce que l&#8217;expansion adiabatique &#8211; Compression adiabatique &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lexpansion-adiabatique-compression-adiabatique-definition\/\" aria-label=\"En savoir plus sur Qu&#8217;est-ce que l&#8217;expansion adiabatique &#8211; Compression adiabatique &#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 l&#039;expansion adiabatique - Compression adiabatique - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Expansion Adiabatique - Compression Adiabatique. 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