{"id":52464,"date":"2020-02-19T14:14:43","date_gmt":"2020-02-19T13:14:43","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quelle-est-la-theorie-du-cycle-de-brayton-moteur-brayton-definition\/"},"modified":"2020-02-19T14:23:44","modified_gmt":"2020-02-19T13:23:44","slug":"quelle-est-la-theorie-du-cycle-de-brayton-moteur-brayton-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-theorie-du-cycle-de-brayton-moteur-brayton-definition\/","title":{"rendered":"Quelle est la th\u00e9orie du cycle de Brayton &#8211; Moteur Brayton &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Th\u00e9orie du cycle de Brayton &#8211; Moteur de Brayton. Le cycle de Brayton comprend deux processus isentropiques et deux processus isobares. Son efficacit\u00e9 thermique d\u00e9pend du taux de pression. G\u00e9nie thermique<\/div>\n<\/div>\n<div><\/div>\n<div><\/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-first\">\n<div class=\"inside-grid-column\">\n<h2><span>Cycle de Brayton &#8211; Turbine Engine<\/span><\/h2>\n<p><span>En 1872, un ing\u00e9nieur am\u00e9ricain,\u00a0<\/span><strong><span>George Bailey Brayton, a fait<\/span><\/strong><span>\u00a0progresser l&#8217;\u00e9tude des\u00a0<\/span><a title=\"Moteurs thermiques\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quun-moteur-thermique-definition\/\"><span>moteurs thermiques<\/span><\/a><span>\u00a0en brevetant un moteur \u00e0 combustion interne \u00e0 pression constante, utilisant initialement du gaz vaporis\u00e9 mais plus tard des combustibles liquides tels que le k\u00e9ros\u00e8ne.\u00a0Ce moteur thermique est connu sous le nom de \u00ab\u00a0<\/span><em><strong><span>Moteur pr\u00eat de Brayton<\/span><\/strong><span>\u00a0\u00bb<\/span><\/em><span>\u00a0.\u00a0Cela signifie que le\u00a0<\/span><strong><span>moteur Brayton d&#8217;origine<\/span><\/strong><span>\u00a0utilisait un\u00a0<\/span><strong><span>compresseur \u00e0\u00a0<\/span><\/strong><strong><span>piston<\/span><\/strong><span>\u00a0et\u00a0<strong>un d\u00e9tendeur \u00e0 piston<\/strong>\u00a0au lieu d&#8217;une turbine \u00e0 gaz et d&#8217;un compresseur \u00e0 gaz.<\/span><\/p>\n<p><span>Aujourd&#8217;hui,\u00a0<\/span><strong><span>les moteurs \u00e0 turbine \u00e0 gaz modernes<\/span><\/strong><span>\u00a0et\u00a0<\/span><strong><span>les moteurs \u00e0 r\u00e9action \u00e0 respiration a\u00e9rodynamique<\/span><\/strong><span>\u00a0sont \u00e9galement des moteurs thermiques \u00e0 pression constante, c&#8217;est pourquoi nous d\u00e9crivons leur thermodynamique par le\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0.\u00a0En g\u00e9n\u00e9ral, le\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0d\u00e9crit le fonctionnement d&#8217;un\u00a0<\/span><strong><span>moteur thermique \u00e0 pression constante<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>C&#8217;est l&#8217;un des\u00a0<\/span><a title=\"Cycles thermodynamiques\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-cycles\/\"><strong><span>cycles thermodynamiques<\/span><\/strong><\/a><span>\u00a0les plus courants\u00a0que l&#8217;on retrouve dans les centrales \u00e0 turbine \u00e0 gaz ou dans les avions.\u00a0Contrairement au\u00a0<\/span><a title=\"Cycle Carnot - Moteur thermique Carnot\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-carnot-cycle-moteur-thermique-carnot-definition\/\"><span>cycle de Carnot<\/span><\/a><span>\u00a0, le\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0n&#8217;ex\u00e9cute pas de\u00a0<\/span><a title=\"Processus isotherme\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quel-est-le-processus-isothermique-definition\/\"><span>processus isothermes<\/span><\/a><span>\u00a0, car ceux-ci doivent \u00eatre effectu\u00e9s tr\u00e8s lentement.\u00a0Dans un\u00a0<\/span><strong><span>cycle de Brayton id\u00e9al<\/span><\/strong><span>\u00a0, le syst\u00e8me ex\u00e9cutant le cycle subit une s\u00e9rie de quatre processus: deux processus isentropiques (adiabatiques r\u00e9versibles) altern\u00e9s avec deux processus isobares.<\/span><\/p>\n<p><span>\u00c9tant donn\u00e9 que\u00a0<\/span><strong><span>le principe de Carnot<\/span><\/strong><span>\u00a0stipule qu&#8217;aucun moteur ne peut \u00eatre plus efficace qu&#8217;un moteur r\u00e9versible (\u00a0<\/span><strong><span>un moteur thermique Carnot<\/span><\/strong><span>\u00a0) fonctionnant entre les m\u00eames r\u00e9servoirs \u00e0 haute et \u00e0 basse temp\u00e9rature, une turbine \u00e0 gaz bas\u00e9e sur le cycle de Brayton doit avoir un rendement inf\u00e9rieur \u00e0 celui de Carnot.<\/span><\/p>\n<p><span>Une grande turbine \u00e0 gaz \u00e0 cycle unique produit g\u00e9n\u00e9ralement par exemple 300 m\u00e9gawatts d&#8217;\u00e9nergie \u00e9lectrique et a une efficacit\u00e9 thermique de 35 \u00e0 40%.\u00a0Les centrales modernes \u00e0 turbine \u00e0 gaz \u00e0 cycle combin\u00e9 (CCGT), dans lesquelles le cycle thermodynamique se compose de deux cycles de centrale \u00e9lectrique (par exemple le cycle de Brayton et le cycle de Rankine), peuvent atteindre une efficacit\u00e9 thermique d&#8217;environ 55%.<\/span><\/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<div class=\"su-youtube su-responsive-media-yes\"><iframe class=\"lazy-loaded\" src=\"https:\/\/www.youtube.com\/embed\/zcWkEKNvqCA?\" width=\"340\" height=\"200\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-lazy-type=\"iframe\" data-src=\"https:\/\/www.youtube.com\/embed\/zcWkEKNvqCA?\"><\/iframe><\/div>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min.png\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-17685 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min-249x300.png\" alt=\"cycle de Brayton ouvert - Turbine \u00e0 gaz\" width=\"249\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min-249x300.png\" \/><\/a><\/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-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Types de cycle de Brayton<\/span><\/h2>\n<p><strong><span>Cycle de Brayton ouvert (mots cl\u00e9s)<\/span><\/strong><\/p>\n<p><span>Comme la plupart des turbines \u00e0 gaz sont bas\u00e9es sur le\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0\u00e0\u00a0<\/span><strong><span>combustion interne<\/span><\/strong><span>\u00a0(par exemple les moteurs \u00e0 r\u00e9action), elles sont bas\u00e9es sur le\u00a0<\/span><strong><span>cycle de Brayton ouvert<\/span><\/strong><span>\u00a0.\u00a0Dans ce cycle, l&#8217;air de l&#8217;atmosph\u00e8re ambiante est comprim\u00e9 \u00e0 une pression et une temp\u00e9rature plus \u00e9lev\u00e9es par le compresseur.\u00a0Dans la chambre de combustion, l&#8217;air est davantage chauff\u00e9 en br\u00fblant le m\u00e9lange carburant-air dans le flux d&#8217;air.\u00a0Les produits de combustion et les gaz se dilatent dans la turbine soit \u00e0 une pression proche de la pression atmosph\u00e9rique (moteurs produisant de l&#8217;\u00e9nergie m\u00e9canique ou \u00e9lectrique) soit \u00e0 une pression requise par les turbor\u00e9acteurs.\u00a0Le cycle ouvert de Brayton signifie que les gaz sont rejet\u00e9s\u00a0<\/span><strong><span>directement dans l&#8217;atmosph\u00e8re<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><strong><span>Cycle de Brayton ferm\u00e9<\/span><\/strong><\/p>\n<p><span>Dans un\u00a0<\/span><strong><span>cycle de Brayton ferm\u00e9,<\/span><\/strong><span>\u00a0un\u00a0milieu de travail (par exemple de l&#8217;h\u00e9lium)\u00a0<\/span><strong><span>recircule dans la boucle<\/span><\/strong><span>\u00a0et le gaz expuls\u00e9 de la turbine est r\u00e9introduit dans le compresseur.\u00a0Dans ces turbines, un\u00a0<\/span><strong><span>\u00e9changeur de chaleur<\/span><\/strong><span>\u00a0(combustion externe) est g\u00e9n\u00e9ralement utilis\u00e9 et seul un fluide propre sans produits de combustion traverse la turbine de puissance.\u00a0Le\u00a0<\/span><strong><span>cycle ferm\u00e9 de Brayton<\/span><\/strong><span>\u00a0est utilis\u00e9, par exemple, dans les turbines \u00e0 gaz \u00e0 cycle ferm\u00e9 et les r\u00e9acteurs refroidis au gaz \u00e0 haute temp\u00e9rature.<\/span><\/p>\n<p><strong><span>Cycle invers\u00e9 de Brayton &#8211; Cycle de r\u00e9frig\u00e9ration de Brayton<\/span><\/strong><\/p>\n<p><span>Un cycle de Brayton entra\u00een\u00e9 en sens inverse est appel\u00e9 cycle de Brayton invers\u00e9.\u00a0Son but est de d\u00e9placer la chaleur d&#8217;un corps plus froid vers un corps plus chaud, plut\u00f4t que de produire du travail.\u00a0Conform\u00e9ment \u00e0 le deuxi\u00e8me principe de la thermodynamique, la\u00a0<\/span><strong><span>chaleur ne peut pas circuler spontan\u00e9ment<\/span><\/strong><span>\u00a0du syst\u00e8me froid au syst\u00e8me chaud sans qu&#8217;un travail externe soit effectu\u00e9 sur le syst\u00e8me.\u00a0La chaleur peut circuler d&#8217;un corps plus froid vers un corps plus chaud, mais\u00a0<\/span><strong><span>uniquement lorsqu&#8217;elle est forc\u00e9e par un travail ext\u00e9rieur<\/span><\/strong><span>.\u00a0C&#8217;est exactement ce que les r\u00e9frig\u00e9rateurs et les pompes \u00e0 chaleur accomplissent.\u00a0Ceux-ci sont entra\u00een\u00e9s par des moteurs \u00e9lectriques n\u00e9cessitant un travail de leur environnement pour fonctionner.\u00a0L&#8217;un des cycles possibles est un cycle de Brayton invers\u00e9, qui est similaire au cycle Brayton ordinaire mais il est entra\u00een\u00e9 en sens inverse, via une entr\u00e9e de travail nette.\u00a0Ce cycle est \u00e9galement connu sous le nom de cycle de r\u00e9frig\u00e9ration au gaz ou cycle de Bell Coleman.\u00a0Ce type de cycle est largement utilis\u00e9 dans les avions \u00e0 r\u00e9action pour les syst\u00e8mes de climatisation utilisant l&#8217;air des compresseurs du moteur.\u00a0Il est \u00e9galement largement utilis\u00e9 dans l&#8217;industrie du GNL o\u00f9 le plus grand cycle invers\u00e9 de Brayton est pour le sous-refroidissement du GNL en utilisant 86 MW de puissance provenant d&#8217;un compresseur entra\u00een\u00e9 par turbine \u00e0 gaz et d&#8217;un r\u00e9frig\u00e9rant \u00e0 l&#8217;azote.<\/span><\/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_17685\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17685\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17685 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min-249x300.png\" alt=\"cycle de Brayton ouvert - Turbine \u00e0 gaz\" width=\"249\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/open-Brayton-cycle-Gas-Turbine-min-249x300.png\" \/><\/a><figcaption id=\"caption-attachment-17685\" class=\"wp-caption-text\"><span>cycle de Brayton ouvert<\/span><\/figcaption><\/figure>\n<figure id=\"attachment_17684\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17684\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17684 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min-247x300.png\" alt=\"cycle de Brayton ferm\u00e9 - Diagramme pV\" width=\"247\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min-247x300.png\" \/><\/a><figcaption id=\"caption-attachment-17684\" class=\"wp-caption-text\"><span>cycle de Brayton ferm\u00e9<\/span><\/figcaption><\/figure>\n<figure id=\"attachment_17683\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17683\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/reverse-Brayton-cycle-cooling-and-heat-pumps-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17683 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/reverse-Brayton-cycle-cooling-and-heat-pumps-min-259x300.png\" alt=\"cycle de Brayton invers\u00e9 - pompes de refroidissement et de chaleur\" width=\"259\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/reverse-Brayton-cycle-cooling-and-heat-pumps-min-259x300.png\" \/><\/a><figcaption id=\"caption-attachment-17683\" class=\"wp-caption-text\"><span>cycle de Brayton invers\u00e9<\/span><\/figcaption><\/figure>\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>Cycle de Brayton &#8211; Processus<\/span><\/h2>\n<p><span>Dans un\u00a0<\/span><strong><span>cycle de Brayton id\u00e9al ferm\u00e9<\/span><\/strong><span>\u00a0, le syst\u00e8me ex\u00e9cutant le cycle subit une s\u00e9rie de quatre processus: deux processus isentropiques (adiabatiques r\u00e9versibles) altern\u00e9s avec deux processus isobares:<\/span><\/p>\n<ul>\n<li>\n<figure id=\"attachment_17684\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17684\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min.png\"><img loading=\"lazy\" class=\"wp-image-17684 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min.png\" alt=\"cycle de Brayton ferm\u00e9 - Diagramme pV\" width=\"370\" height=\"450\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/closed-Brayton-cycle-pV-Diagram-min.png\" \/><\/a><figcaption id=\"caption-attachment-17684\" class=\"wp-caption-text\"><span>cycle de Brayton ferm\u00e9<\/span><\/figcaption><\/figure>\n<p><strong><span>Compression isentropique<\/span><\/strong><span>\u00a0(compression dans un compresseur) &#8211; Le gaz de travail (par exemple l&#8217;h\u00e9lium) est comprim\u00e9 de mani\u00e8re adiabatique de l&#8217;\u00e9tat 1 \u00e0 l&#8217;\u00e9tat 2 par le compresseur (g\u00e9n\u00e9ralement un compresseur \u00e0 flux axial).\u00a0L&#8217;environnement travaille sur le gaz, augmentant son \u00e9nergie interne (temp\u00e9rature) et le compressant (augmentant sa pression).\u00a0En revanche, l&#8217;entropie reste inchang\u00e9e.\u00a0Le travail requis pour le compresseur est donn\u00e9 par\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>C<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0.<\/span><\/strong><\/li>\n<li><strong><span>Apport de chaleur isobare<\/span><\/strong><span>\u00a0(dans un \u00e9changeur de chaleur) &#8211; Dans cette phase (entre l&#8217;\u00e9tat 2 et l&#8217;\u00e9tat 3), il y a un transfert de chaleur \u00e0 pression constante vers le gaz depuis une source externe, car la chambre est ouverte pour entrer et sortir.\u00a0Dans un cycle de Brayton id\u00e9al ouvert, l&#8217;air comprim\u00e9 traverse ensuite une chambre de combustion, o\u00f9 le carburant est br\u00fbl\u00e9 et l&#8217;air ou un autre milieu est chauff\u00e9 (2 \u2192 3).\u00a0Il s&#8217;agit d&#8217;un processus \u00e0 pression constante, car la chambre est ouverte pour entrer et sortir.\u00a0La chaleur nette ajout\u00e9e est donn\u00e9e par\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>add<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><\/li>\n<li><strong><span>Expansion isentropique<\/span><\/strong><span>\u00a0(expansion dans une turbine) &#8211; Le gaz comprim\u00e9 et chauff\u00e9 se d\u00e9tend adiabatiquement de l&#8217;\u00e9tat 3 \u00e0 l&#8217;\u00e9tat 4 dans une turbine.\u00a0Le gaz travaille sur l&#8217;environnement (pales de la turbine) et perd une quantit\u00e9 d&#8217;\u00e9nergie interne \u00e9gale au travail qui quitte le syst\u00e8me.\u00a0Le travail effectu\u00e9 par turbine est donn\u00e9 par\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>T<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0.\u00a0<\/span><\/strong><span>Encore une fois, l&#8217;entropie reste inchang\u00e9e.<\/span><\/li>\n<li><strong><span>Rejet de chaleur isobare (dans un \u00e9changeur de chaleur)<\/span><\/strong><span>\u00a0&#8211; Dans cette phase, le cycle se termine par un processus \u00e0 pression constante dans lequel la chaleur est rejet\u00e9e du gaz.\u00a0La temp\u00e9rature du gaz de travail chute du point 4 au point 1. La chaleur nette rejet\u00e9e est donn\u00e9e par\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>re<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><\/li>\n<\/ul>\n<p><span>Lors d&#8217;un cycle de Brayton, des travaux sont effectu\u00e9s sur le gaz par le compresseur entre les \u00e9tats 1 et 2 (\u00a0<\/span><strong><span>i\u00a0<\/span><\/strong><strong><span>compression sentropique<\/span><\/strong><span>\u00a0).\u00a0Le travail est effectu\u00e9 par le gaz dans la turbine entre les \u00e9tapes 3 et 4 (\u00a0<\/span><strong><span>i\u00a0<\/span><\/strong><strong><span>expansion sentropique<\/span><\/strong><span>\u00a0).\u00a0La diff\u00e9rence entre le travail effectu\u00e9 par le gaz et le travail effectu\u00e9 sur le gaz est le travail net produit par le cycle et il correspond \u00e0 l&#8217;aire d\u00e9limit\u00e9e par la courbe du cycle (en diagramme pV).<\/span><\/p>\n<p><span>Comme on peut le voir, il est commode d&#8217;utiliser l&#8217;\u00a0<\/span><a title=\"Qu'est-ce que l'enthalpie\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><strong><span>enthalpie<\/span><\/strong><\/a><span>\u00a0\u00a0ou l&#8217;\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\/\"><strong>enthalpie\u00a0<\/strong><\/a><\/span><strong><a title=\"Enthalpie sp\u00e9cifique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/specific-enthalpy\/\"><span>sp\u00e9cifique<\/span><\/a><\/strong><span>\u00a0et d&#8217;exprimer la\u00a0<\/span><a title=\"Premi\u00e8re loi en termes d'enthalpie dH = dQ + Vdp\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/first-law-in-terms-of-enthalpy-dh-dq-vdp\/\"><span>premi\u00e8re loi en termes d&#8217;enthalpie<\/span><\/a><span>\u00a0dans l&#8217;analyse de ce cycle thermodynamique.\u00a0Cette forme de loi\u00a0<\/span><strong><span>simplifie la description du transfert d&#8217;\u00e9nergie<\/span><\/strong><span>\u00a0.\u00a0<\/span><strong><span>\u00c0 pression constante<\/span><\/strong><span>\u00a0, le\u00a0<\/span><strong><span>changement d&#8217;enthalpie<\/span><\/strong><span>\u00a0est \u00e9gal \u00e0 l&#8217;\u00a0<\/span><strong><span>\u00e9nergie<\/span><\/strong><span>\u00a0transf\u00e9r\u00e9e de l&#8217;environnement par le chauffage:<\/span><\/p>\n<p><strong><span>Processus isobare (Vdp = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = dQ \u2192 Q = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><\/p>\n<p><strong><span>\u00c0 entropie constante<\/span><\/strong><span>\u00a0, c&#8217;est-\u00e0-dire dans un processus isentropique, le\u00a0<\/span><strong><span>changement d&#8217;enthalpie<\/span><\/strong><span>\u00a0est \u00e9gal au\u00a0<\/span><strong><span>travail de processus d&#8217;\u00e9coulement<\/span><\/strong><span>\u00a0effectu\u00e9 sur ou par le syst\u00e8me:<\/span><\/p>\n<p><strong><span>Processus isentropique (dQ = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = Vdp \u2192 W = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><\/p>\n<p><span>Voir aussi:\u00a0<\/span><a title=\"Premi\u00e8re loi en termes d'enthalpie dH = dQ + Vdp\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/first-law-in-terms-of-enthalpy-dh-dq-vdp\/\"><strong><span>Pourquoi les ing\u00e9nieurs motoristes utilisent l&#8217;enthalpie?\u00a0R\u00e9ponse: dH = dQ + Vdp<\/span><\/strong><\/a><\/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-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Processus isentropique<\/span><\/h2>\n<p><span>Un\u00a0<\/span><a title=\"Processus isentropique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quel-est-le-processus-isentropique-definition\/\"><strong><span>processus isentropique<\/span><\/strong><\/a><span>\u00a0est un\u00a0<\/span><a title=\"Processus thermodynamiques\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quun-processus-thermodynamique-definition\/\"><strong><span>processus thermodynamique<\/span><\/strong><\/a><span>\u00a0, dans lequel l&#8217;\u00a0<\/span><a title=\"Qu'est-ce que l'entropie\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/\"><strong><span>entropie<\/span><\/strong>\u00a0<\/a><span>du fluide ou du gaz reste constante.\u00a0Cela signifie que le\u00a0<\/span><strong><span>processus isentropique<\/span><\/strong><span>\u00a0est un cas particulier d&#8217;un\u00a0<\/span><strong><span>processus adiabatique<\/span><\/strong><span>\u00a0dans lequel il n&#8217;y a pas de transfert de chaleur ou de mati\u00e8re.\u00a0Il s&#8217;agit d&#8217;un\u00a0<\/span><strong><span>processus adiabatique r\u00e9versible<\/span><\/strong><span>\u00a0.\u00a0L&#8217;hypoth\u00e8se d&#8217;absence de transfert de chaleur est tr\u00e8s importante, car nous ne pouvons utiliser l&#8217;approximation adiabatique que dans\u00a0<\/span><strong><span>des processus tr\u00e8s rapides<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><strong><span>Processus isentropique et premi\u00e8re loi<\/span><\/strong><\/p>\n<p><span>Pour un syst\u00e8me ferm\u00e9, on peut \u00e9crire la\u00a0<\/span><strong><a title=\"Premi\u00e8re loi en termes d'enthalpie dH = dQ + Vdp\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/first-law-in-terms-of-enthalpy-dh-dq-vdp\/\"><span>premi\u00e8re loi de la thermodynamique en termes d&#8217;enthalpie<\/span><\/a><\/strong><span>\u00a0:<\/span><\/p>\n<p><strong><span>dH = dQ + Vdp<\/span><\/strong><\/p>\n<p><strong><span>ou<\/span><\/strong><\/p>\n<p><strong><span>dH = TdS + Vdp<\/span><\/strong><\/p>\n<p><strong><span>Processus isentropique (dQ = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = Vdp \u2192 W = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0\u00a0\u00a0\u00a0\u00a0\u2192 H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0=\u00a0<\/span><em><span>C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0(T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0&#8211; T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>1<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0) \u00a0\u00a0\u00a0<\/span><\/em><\/strong><em><span>\u00a0(pour\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>le gaz parfait<\/span><\/a><span>\u00a0)<\/span><\/em><\/p>\n<p><strong><span>Processus isentropique du gaz parfait<\/span><\/strong><\/p>\n<p><span>Le\u00a0<\/span><strong><span>processus isentropique<\/span><\/strong><span>\u00a0(un cas particulier du processus adiabatique) peut \u00eatre exprim\u00e9 avec la\u00a0<\/span><a title=\"Loi du gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><strong><span>loi du gaz parfait<\/span><\/strong><\/a><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=\"Heat Capacity \u2013 Specific Heat Capacity\" 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<\/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<div class=\"su-spacer\"><\/div>\n<h2><span>Processus isobare<\/span><\/h2>\n<p><span>Un\u00a0<\/span><a title=\"Processus isobare\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quel-est-le-processus-isobare-definition\/\"><strong><span>processus isobare<\/span><\/strong><\/a><span>\u00a0est un\u00a0<\/span><a title=\"Processus thermodynamiques\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-quun-processus-thermodynamique-definition\/\"><span>processus thermodynamique<\/span><\/a><span>\u00a0, dans lequel la\u00a0<\/span><a title=\"Qu'est-ce que la pression - Physique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><strong><span>pression<\/span><\/strong><\/a><span>\u00a0du syst\u00e8me\u00a0<\/span><strong><span>reste constante<\/span><\/strong><span>\u00a0(p = const).\u00a0Le transfert de chaleur dans ou hors du syst\u00e8me fonctionne, mais modifie \u00e9galement l&#8217;\u00e9nergie interne du syst\u00e8me.<\/span><\/p>\n<p><span>Puisqu&#8217;il y a des changements d&#8217;\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lenergie-interne-energie-thermique-definition\/\"><span>\u00e9nergie interne<\/span><\/a><span>\u00a0(dU) et des changements de volume du syst\u00e8me (\u2206V), les ing\u00e9nieurs utilisent souvent l&#8217;\u00a0<\/span><a title=\"Qu'est-ce que l'enthalpie\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><strong><span>enthalpie<\/span><\/strong><\/a><span>\u00a0du syst\u00e8me, qui est d\u00e9finie comme:<\/span><\/p>\n<p><em><strong><span>H = U + pV<\/span><\/strong><\/em><\/p>\n<p><strong><span>Processus isobare et premi\u00e8re loi<\/span><\/strong><\/p>\n<p><span>La forme classique de la\u00a0<\/span><a title=\"Premi\u00e8re loi de la thermodynamique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-premiere-loi-de-la-thermodynamique-definition\/\"><span>premi\u00e8re loi de la thermodynamique<\/span><\/a><span>\u00a0est l&#8217;\u00e9quation suivante:<\/span><\/p>\n<p><strong><span>dU = dQ &#8211; dW<\/span><\/strong><\/p>\n<p><span>Dans cette \u00e9quation, dW est \u00e9gal \u00e0\u00a0<\/span><strong><span>dW = pdV<\/span><\/strong><span>\u00a0et est connu comme le\u00a0<\/span><a title=\"Travaux p\u0394V - Travaux aux limites et travaux V\u0394p\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/p%ce%b4v-work-boundary-work-and-v%ce%b4p-work\/\"><span>travail<\/span><\/a><span>\u00a0aux\u00a0<a title=\"Travaux p\u0394V - Travaux aux limites et travaux V\u0394p\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/p%ce%b4v-work-boundary-work-and-v%ce%b4p-work\/\">limites<\/a>\u00a0.\u00a0Dans un proc\u00e9d\u00e9 isobare et le gaz parfait, une\u00a0<\/span><strong><span>partie de la chaleur ajout\u00e9e<\/span><\/strong><span>\u00a0au syst\u00e8me sera utilis\u00e9e pour\u00a0<\/span><strong><span>faire le travail<\/span><\/strong><span>\u00a0et une\u00a0<\/span><strong><span>partie de la chaleur<\/span><\/strong><span>\u00a0ajout\u00e9e augmentera l&#8217;\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lenergie-interne-energie-thermique-definition\/\"><strong><span>\u00e9nergie interne<\/span><\/strong><\/a><span>\u00a0(augmentera la temp\u00e9rature).\u00a0Par cons\u00e9quent, il est commode d&#8217;utiliser l&#8217;\u00a0<\/span><strong><span>enthalpie<\/span><\/strong><span>\u00a0au lieu de l&#8217;\u00e9nergie interne.<\/span><\/p>\n<p><strong><span>Processus isobare (Vdp = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = dQ \u2192 Q = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><\/p>\n<p><strong><span>\u00c0 entropie constante<\/span><\/strong><span>\u00a0, c&#8217;est-\u00e0-dire dans un processus isentropique, le\u00a0<\/span><strong><span>changement d&#8217;enthalpie<\/span><\/strong><span>\u00a0est \u00e9gal au\u00a0<\/span><strong><span>travail de processus d&#8217;\u00e9coulement<\/span><\/strong><span>\u00a0effectu\u00e9 sur ou par le syst\u00e8me.<\/span><\/p>\n<p><strong><span>Processus isobare du gaz parfait<\/span><\/strong><\/p>\n<p><span>Le\u00a0<\/span><strong><span>processus isobare<\/span><\/strong><span>\u00a0peut s&#8217;exprimer avec la\u00a0<\/span><a title=\"Loi du gaz parfait\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><strong><span>loi du gaz parfait<\/span><\/strong><\/a><span>\u00a0comme:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-2.png?a34b7f\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17430 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-2.png?a34b7f\" alt=\"processus isobare - \u00e9quation - 2\" width=\"134\" height=\"63\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-2.png?a34b7f\" \/><\/a><\/p>\n<p><span>ou<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-3.png?a34b7f\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17431 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-3.png?a34b7f\" alt=\"processus isobare - \u00e9quation - 3\" width=\"77\" height=\"67\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isobaric-process-equation-3.png?a34b7f\" \/><\/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 horizontale (appel\u00e9e isobare) qui a l&#8217;\u00e9quation p = constante.<\/span><\/p>\n<p><span>Voir aussi:\u00a0<\/span><a title=\"La loi de Charles\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-loi-de-charles-definition\/\"><span>Charles&#8217;s Law<\/span><\/a><\/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-first\">\n<div class=\"inside-grid-column\">\n<figure id=\"attachment_17280\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17280\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Process-characteristics.png\"><img loading=\"lazy\" class=\"size-full wp-image-17280 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Process-characteristics.png\" alt=\"Processus isentropique - caract\u00e9ristiques\" width=\"386\" height=\"609\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Process-characteristics.png\" \/><\/a><figcaption id=\"caption-attachment-17280\" class=\"wp-caption-text\"><span>Processus isentropique &#8211; principales caract\u00e9ristiques<\/span><\/figcaption><\/figure>\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_17426\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17426\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isobaric-process-main-characteristics.png\"><img loading=\"lazy\" class=\"size-full wp-image-17426 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isobaric-process-main-characteristics.png\" alt=\"Processus isobare - principales caract\u00e9ristiques\" width=\"381\" height=\"717\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isobaric-process-main-characteristics.png\" \/><\/a><figcaption id=\"caption-attachment-17426\" class=\"wp-caption-text\"><span>Processus isobare &#8211; principales caract\u00e9ristiques<\/span><\/figcaption><\/figure>\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>Cycle de Brayton &#8211; diagramme pV, Ts<\/span><\/h2>\n<p><span>Le\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0est souvent trac\u00e9 sur un diagramme pression-volume (diagramme\u00a0<\/span><strong><span>pV<\/span><\/strong><span>\u00a0) et sur un diagramme temp\u00e9rature-entropie (\u00a0<\/span><strong><span>diagramme Ts<\/span><\/strong><span>\u00a0).<\/span><\/p>\n<figure id=\"attachment_17694\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17694\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17694 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram-300x266.png\" alt=\"Cycle de Brayton - Diagramme Ts\" width=\"300\" height=\"266\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram-300x266.png\" \/><\/a><figcaption id=\"caption-attachment-17694\" class=\"wp-caption-text\"><span>Cycle de Brayton &#8211; Diagramme Ts<\/span><\/figcaption><\/figure>\n<p><span>Lorsqu&#8217;ils sont trac\u00e9s sur un\u00a0<\/span><strong><span>diagramme de volume de pression<\/span><\/strong><span>\u00a0, les processus isobares suivent les lignes isobares pour le gaz (les lignes horizontales), les processus adiabatiques se d\u00e9placent entre ces lignes horizontales et la zone d\u00e9limit\u00e9e par la piste cyclable compl\u00e8te repr\u00e9sente le\u00a0<\/span><strong><span>travail total<\/span><\/strong><span>\u00a0qui peut \u00eatre effectu\u00e9 au cours d&#8217;une cycle.<\/span><\/p>\n<p><span>Le\u00a0<\/span><strong><span>diagramme temp\u00e9rature-entropie<\/span><\/strong><span>\u00a0(diagramme Ts) dans laquelle l&#8217;\u00e9tat thermodynamique est d\u00e9fini par un point sur un graphique avec l&#8217;\u00a0<\/span><a title=\"Entropie sp\u00e9cifique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/specific-entropy\/\"><span>entropie d\u00e9termin\u00e9e<\/span><\/a><span>\u00a0(s) en\u00a0tant que l&#8217;axe horizontal et la\u00a0<\/span><a title=\"\u00c9chelle Kelvin - Temp\u00e9rature absolue\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-temperature-physics\/kelvin-scale-absolute-temperature\/\"><span>temp\u00e9rature absolue<\/span><\/a><span>\u00a0(T) comme axe vertical.\u00a0Les diagrammes Ts sont un outil utile et courant, notamment parce qu&#8217;il permet de visualiser le\u00a0<\/span><strong><span>transfert de chaleur au<\/span><\/strong><span>\u00a0cours d&#8217;un processus.\u00a0Pour les processus r\u00e9versibles (id\u00e9aux), l&#8217;aire sous la courbe Ts d&#8217;un processus est la\u00a0<\/span><strong><span>chaleur transf\u00e9r\u00e9e<\/span><\/strong><span>\u00a0au syst\u00e8me pendant ce processus.<\/span><\/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>Efficacit\u00e9 thermique du cycle de Brayton<\/span><\/h2>\n<p><span>En g\u00e9n\u00e9ral ,\u00a0le\u00a0<a title=\"Efficacit\u00e9 thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lefficacite-thermique-definition\/\"><strong>rendement thermique<\/strong><\/a><a title=\"Efficacit\u00e9 thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lefficacite-thermique-definition\/\">\u00a0,\u00a0<\/a><a title=\"Efficacit\u00e9 thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lefficacite-thermique-definition\/\"><strong><em>\u03b7\u00a0<\/em><\/strong><\/a><a title=\"Efficacit\u00e9 thermique\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lefficacite-thermique-definition\/\"><strong><em><sub>e<\/sub><\/em><\/strong><\/a>\u00a0, d&#8217;un moteur thermique est d\u00e9finie comme \u00e9tant le rapport entre le\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-le-travail-en-thermodynamique-definition\/\">travail<\/a>\u00a0qu&#8217;elle fait,\u00a0<strong>W<\/strong>\u00a0, \u00e0 la\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-chaleur-en-physique-chaleur-definition\/\">chaleur<\/a>\u00a0d&#8217; entr\u00e9e \u00e0 la temp\u00e9rature \u00e9lev\u00e9e, Q\u00a0<sub>H<\/sub>\u00a0.<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-1.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-16945 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-1.png\" alt=\"formule d'efficacit\u00e9 thermique - 1\" width=\"125\" height=\"82\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-1.png\" \/><\/a><\/p>\n<p><span>L&#8217;\u00a0<\/span><strong><span>efficacit\u00e9 thermique<\/span><\/strong><span>\u00a0,\u00a0<\/span><strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>th<\/span><\/sub><\/em><\/strong><span>\u00a0, repr\u00e9sente la fraction de\u00a0<\/span><strong><span>chaleur<\/span><\/strong><span>\u00a0,\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>H<\/span><\/sub><\/strong><span>\u00a0, qui est convertie\u00a0<\/span><strong><span>en travail<\/span><\/strong><span>\u00a0.\u00a0Puisque l&#8217;\u00e9nergie est conserv\u00e9e selon la\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-premiere-loi-de-la-thermodynamique-definition\/\"><strong><span>premi\u00e8re loi de la thermodynamique<\/span><\/strong><\/a><span>\u00a0et que l&#8217;\u00e9nergie ne peut pas \u00eatre convertie pour fonctionner compl\u00e8tement, l&#8217;apport de chaleur, Q\u00a0<\/span><sub><span>H<\/span><\/sub><span>\u00a0, doit \u00eatre \u00e9gal au travail effectu\u00e9, W, plus la chaleur qui doit \u00eatre dissip\u00e9e sous forme de\u00a0<\/span><strong><span>chaleur r\u00e9siduelle Q\u00a0<\/span><\/strong><strong><sub><span>C<\/span><\/sub><\/strong><span>\u00a0dans le environnement.\u00a0Par cons\u00e9quent, nous pouvons r\u00e9\u00e9crire la formule de l&#8217;efficacit\u00e9 thermique comme suit:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-2.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-16944 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-2.png\" alt=\"formule d'efficacit\u00e9 thermique - 2\" width=\"352\" height=\"83\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-2.png\" \/><\/a><\/p>\n<figure id=\"attachment_16961\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16961\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-engines-turbines-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16961 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-engines-turbines-min-300x222.png\" alt=\"Takaishi, Tatsuo;  Numata, Akira;  Nakano, Ryouji;  Sakaguchi, Katsuhiko (mars 2008).\" width=\"300\" height=\"222\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-engines-turbines-min-300x222.png\" \/><\/a><figcaption id=\"caption-attachment-16961\" class=\"wp-caption-text\"><span>Takaishi, Tatsuo;\u00a0Numata, Akira;\u00a0Nakano, Ryouji;\u00a0Sakaguchi, Katsuhiko (mars 2008).\u00a0\u00abApproche des moteurs diesel et \u00e0 gaz \u00e0 haut rendement\u00bb (PDF).\u00a0Revue technique Mitsubishi Heavy Industries.\u00a045 (1).\u00a0R\u00e9cup\u00e9r\u00e9 le 04\/02\/2011.<\/span><\/figcaption><\/figure>\n<p><span>C&#8217;est une formule tr\u00e8s utile, mais ici nous exprimons l&#8217;efficacit\u00e9 thermique en utilisant le premi\u00e8re principe en termes d&#8217;\u00a0<\/span><a title=\"Qu'est-ce que l'enthalpie\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><span>enthalpie<\/span><\/a><span>\u00a0.<\/span><\/p>\n<p><span>Pour calculer l&#8217;efficacit\u00e9 thermique du\u00a0<\/span><strong><span>cycle de Brayton<\/span><\/strong><span>\u00a0(compresseur unique et turbine unique), les ing\u00e9nieurs utilisent la\u00a0<\/span><a title=\"Premi\u00e8re loi en termes d'enthalpie dH = dQ + Vdp\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/first-law-in-terms-of-enthalpy-dh-dq-vdp\/\"><span>premi\u00e8re loi de la thermodynamique en termes d&#8217;enthalpie<\/span><\/a><span>\u00a0plut\u00f4t qu&#8217;en termes d&#8217;\u00e9nergie interne.<\/span><\/p>\n<p><span>La premi\u00e8re loi en mati\u00e8re d&#8217;enthalpie est:<\/span><\/p>\n<p><em><strong><span>dH = dQ + Vdp<\/span><\/strong><\/em><\/p>\n<p><span>Dans cette \u00e9quation, le terme\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0est un\u00a0<\/span><strong><span>travail de processus d&#8217;\u00e9coulement.\u00a0<\/span><\/strong><span>Ce travail, \u00a0\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0, est utilis\u00e9 pour\u00a0<\/span><strong><span>des syst\u00e8mes \u00e0 flux ouvert<\/span><\/strong><span>\u00a0comme une\u00a0<\/span><strong><span>turbine<\/span><\/strong><span>\u00a0ou une\u00a0<\/span><strong><span>pompe<\/span><\/strong><span>\u00a0dans lesquels il y a un\u00a0<\/span><strong><span>\u00abdp\u00bb<\/span><\/strong><span>\u00a0, c&#8217;est-\u00e0-dire un changement de pression.\u00a0Il n&#8217;y a aucun changement dans\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/control-volume-control-volume-analysis\/\"><span>le volume de contr\u00f4le<\/span><\/a><span>\u00a0.\u00a0Comme on peut le voir, cette forme de loi\u00a0<\/span><strong><span>simplifie la description du transfert d&#8217;\u00e9nergie<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>Il existe des expressions en termes de variables plus famili\u00e8res telles que la\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-la-temperature-physique-definition\/\"><span>temp\u00e9rature<\/span><\/a><span>\u00a0et la\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><span>pression<\/span><\/a><span>\u00a0:<\/span><\/p>\n<p><strong><em><span>dH = C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0dT + V (1-\u03b1T) dp<\/span><\/em><\/strong><\/p>\n<p><span>O\u00f9\u00a0<\/span><strong><span>C\u00a0<\/span><\/strong><strong><sub><span>p<\/span><\/sub><\/strong><span>\u00a0est la\u00a0<\/span><strong><span>capacit\u00e9 thermique \u00e0 pression constante<\/span><\/strong><span>\u00a0et\u00a0<\/span><strong><em><span>\u03b1<\/span><\/em><\/strong><span>\u00a0est le coefficient de dilatation thermique (cubique).\u00a0Pour\u00a0<\/span><strong><span>un gaz parfait<\/span><\/strong><span>\u00a0\u03b1T = 1 et donc:<\/span><\/p>\n<p><strong><em><span>dH = C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0dT<\/span><\/em><\/strong><\/p>\n<p><strong><span>\u00c0 pression constante<\/span><\/strong><span>\u00a0, le\u00a0<\/span><strong><span>changement d&#8217;enthalpie<\/span><\/strong><span>\u00a0est \u00e9gal \u00e0 l&#8217;\u00a0<\/span><strong><span>\u00e9nergie<\/span><\/strong><span>\u00a0transf\u00e9r\u00e9e de l&#8217;environnement par le chauffage:<\/span><\/p>\n<p><strong><span>Processus isobare (Vdp = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = dQ \u2192 Q = H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0\u00a0\u00a0\u2192 H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0=\u00a0<\/span><em><span>C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0(T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>3<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0&#8211; T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0)<\/span><\/em><\/strong><\/p>\n<p><strong><span>\u00c0 entropie constante<\/span><\/strong><span>\u00a0, c&#8217;est-\u00e0-dire dans un processus isentropique, le\u00a0<\/span><strong><span>changement d&#8217;enthalpie<\/span><\/strong><span>\u00a0est \u00e9gal au\u00a0<\/span><strong><span>travail de processus d&#8217;\u00e9coulement<\/span><\/strong><span>\u00a0effectu\u00e9 sur ou par le syst\u00e8me:<\/span><\/p>\n<p><strong><span>Processus isentropique (dQ = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = Vdp \u2192 W = H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0\u00a0\u00a0\u00a0\u00a0\u2192 H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0=\u00a0<\/span><em><span>C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0(T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>4<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0&#8211; T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>3<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0)<\/span><\/em><\/strong><\/p>\n<p><span>L&#8217;\u00a0<\/span><strong><span>enthalpie<\/span><\/strong><span>\u00a0peut \u00eatre transform\u00e9e en une\u00a0variable\u00a0<\/span><strong><span>intensive<\/span><\/strong><span>\u00a0ou\u00a0<\/span><strong><span>sp\u00e9cifique<\/span><\/strong><span>\u00a0, en la divisant par la\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-mass-and-weight\/what-is-mass\/\"><span>masse<\/span><\/a><span>\u00a0.\u00a0<\/span><strong><span>Les ing\u00e9nieurs utilisent l&#8217;\u00a0<\/span><\/strong><a title=\"Enthalpie sp\u00e9cifique\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/specific-enthalpy\/\"><strong><span>enthalpie sp\u00e9cifique<\/span><\/strong><\/a><span>\u00a0dans l&#8217;analyse thermodynamique plus que l&#8217;enthalpie elle-m\u00eame.<\/span><\/p>\n<p><span>Supposons maintenant le\u00a0<\/span><strong><span>cycle de Brayton id\u00e9al<\/span><\/strong><span>\u00a0qui d\u00e9crit le fonctionnement d&#8217;un moteur thermique \u00e0 pression constante.\u00a0Les moteurs \u00e0 turbine \u00e0 gaz modernes et les moteurs \u00e0 r\u00e9action \u00e0 respiration a\u00e9rodynamique suivent \u00e9galement le cycle de Brayton.\u00a0Ce cycle comprend quatre processus thermodynamiques:<\/span><\/p>\n<ol>\n<li>\n<figure id=\"attachment_17694\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17694\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17694 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram-300x266.png\" alt=\"Cycle de Brayton - Diagramme Ts\" width=\"300\" height=\"266\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-Cycle-Ts-diagram-300x266.png\" \/><\/a><figcaption id=\"caption-attachment-17694\" class=\"wp-caption-text\"><span>Cycle de Brayton &#8211; Diagramme Ts<\/span><\/figcaption><\/figure>\n<p><span>compression isentropique &#8211; l&#8217;air ambiant est aspir\u00e9 dans le compresseur, o\u00f9 il est mis sous pression (1 \u2192 2).\u00a0Le travail requis pour le compresseur est donn\u00e9 par\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>C<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0.<\/span><\/strong><\/li>\n<li><span>addition de chaleur isobare &#8211; l&#8217;air comprim\u00e9 traverse ensuite une chambre de combustion, o\u00f9 le combustible est br\u00fbl\u00e9 et l&#8217;air ou un autre milieu est chauff\u00e9 (2 \u2192 3).\u00a0Il s&#8217;agit d&#8217;un processus \u00e0 pression constante, car la chambre est ouverte pour entrer et sortir.\u00a0La chaleur nette ajout\u00e9e est donn\u00e9e par\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>add<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><\/li>\n<li><span>expansion isentropique &#8211; l&#8217;air chauff\u00e9 sous pression se d\u00e9tend ensuite sur la turbine, c\u00e8de son \u00e9nergie.\u00a0Le travail effectu\u00e9 par turbine est donn\u00e9 par\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>T<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>3<\/span><\/sub><\/strong><\/li>\n<li><span>rejet de chaleur isobare &#8211; la chaleur r\u00e9siduelle doit \u00eatre rejet\u00e9e afin de fermer le cycle.\u00a0La chaleur nette rejet\u00e9e est donn\u00e9e par\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>re<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>4<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><\/li>\n<\/ol>\n<p><span>Comme on peut le voir, nous pouvons d\u00e9crire et calculer compl\u00e8tement ces cycles (de m\u00eame pour le cycle de Rankine) en utilisant des enthalpies.<\/span><\/p>\n<p><span>L&#8217;efficacit\u00e9 thermique d&#8217;un cycle de Brayton aussi simple, pour le gaz parfait et en termes d&#8217;enthalpies sp\u00e9cifiques, peut maintenant \u00eatre exprim\u00e9e en termes de temp\u00e9ratures:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-16963 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\" alt=\"efficacit\u00e9 thermique du cycle de Brayton\" width=\"602\" height=\"60\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\" \/><\/a><\/p>\n<p><span>o\u00f9<\/span><\/p>\n<ul>\n<li><span>W\u00a0<\/span><sub><span>T<\/span><\/sub><span>\u00a0le travail effectu\u00e9 par le gaz dans la turbine<\/span><\/li>\n<li><span>W\u00a0<\/span><sub><span>C<\/span><\/sub><span>\u00a0le travail effectu\u00e9 sur le gaz dans le compresseur<\/span><\/li>\n<li><span>c\u00a0<\/span><sub><span>p<\/span><\/sub><span>\u00a0est le\u00a0<\/span><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><span>rapport de capacit\u00e9 thermique<\/span><\/strong><\/a><\/li>\n<\/ul>\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>Rapport de pression &#8211; Cycle de Brayton &#8211; Turbine \u00e0 gaz<\/span><\/h2>\n<p><span>L&#8217;\u00a0<\/span><strong><span>efficacit\u00e9 thermique<\/span><\/strong><span>\u00a0en termes de\u00a0<\/span><strong><span>rapport de pression<\/span><\/strong><span>\u00a0du compresseur\u00a0(PR = p\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0\/ p\u00a0<\/span><sub><span>1<\/span><\/sub><span>\u00a0), qui est le param\u00e8tre couramment utilis\u00e9:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio-equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17696 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio-equation.png\" alt=\"efficacit\u00e9 thermique - cycle de Brayton - rapport de pression - \u00e9quation\" width=\"187\" height=\"66\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio-equation.png\" \/><\/a><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17700 alignright lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio-300x239.png\" alt=\"efficacit\u00e9 thermique - cycle de Brayton - rapport de pression\" width=\"300\" height=\"239\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-pressure-ratio-300x239.png\" \/><\/a><span>En g\u00e9n\u00e9ral, l&#8217;\u00a0<\/span><strong><span>augmentation du rapport de pression<\/span><\/strong><span>\u00a0est le moyen le plus direct d&#8217;augmenter l&#8217;efficacit\u00e9 thermique globale d&#8217;un cycle de Brayton, car le cycle se rapproche du cycle de Carnot.<\/span><\/p>\n<p><span>Selon\u00a0<\/span><a title=\"Principe de Carnot - La r\u00e8gle de Carnot\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnots-principle-carnots-rule\/\"><span>le principe de Carnot,<\/span><\/a><span>\u00a0des rendements plus \u00e9lev\u00e9s peuvent \u00eatre atteints en augmentant la temp\u00e9rature du gaz.<\/span><\/p>\n<p><span>Mais il y a aussi des\u00a0<\/span><strong><span>limites sur les rapports de pression<\/span><\/strong><span>\u00a0qui peuvent \u00eatre utilis\u00e9s dans le cycle.\u00a0La temp\u00e9rature la plus \u00e9lev\u00e9e du cycle se produit \u00e0 la fin du processus de combustion et elle est limit\u00e9e par la\u00a0<\/span><strong><span>temp\u00e9rature maximale \u00e0<\/span><\/strong><span>\u00a0laquelle les\u00a0<\/span><strong><span>aubes de turbine<\/span><\/strong><span>\u00a0peuvent r\u00e9sister.\u00a0Comme d&#8217;habitude, les consid\u00e9rations m\u00e9tallurgiques (environ 1700 K) imposent des limites sup\u00e9rieures \u00e0 l&#8217;efficacit\u00e9 thermique.<\/span><\/p>\n<figure id=\"attachment_17698\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17698\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Gas-Turbine-Pressure-Ratio-Thermal-Efficiency.png\"><img loading=\"lazy\" class=\"wp-image-17698 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Gas-Turbine-Pressure-Ratio-Thermal-Efficiency.png\" alt=\"Turbine \u00e0 gaz - Rapport de pression - Efficacit\u00e9 thermique\" width=\"450\" height=\"346\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Gas-Turbine-Pressure-Ratio-Thermal-Efficiency.png\" \/><\/a><figcaption id=\"caption-attachment-17698\" class=\"wp-caption-text\"><span>Cycles de Brayton id\u00e9aux avec diff\u00e9rents rapports de pression et la m\u00eame temp\u00e9rature d&#8217;entr\u00e9e de turbine.<\/span><\/figcaption><\/figure>\n<p><span>Tenez compte de l&#8217;effet du rapport de pression du compresseur sur l&#8217;efficacit\u00e9 thermique lorsque la temp\u00e9rature d&#8217;entr\u00e9e de la turbine est limit\u00e9e \u00e0 la temp\u00e9rature maximale autoris\u00e9e.\u00a0Il y a deux diagrammes Ts des cycles de Brayton ayant la m\u00eame temp\u00e9rature d&#8217;entr\u00e9e de turbine mais diff\u00e9rents rapports de pression de compresseur sur l&#8217;image.\u00a0Comme on peut le voir pour une temp\u00e9rature d&#8217;entr\u00e9e de turbine fixe, la production nette de travail par cycle (W\u00a0<\/span><sub><span>net<\/span><\/sub><span>\u00a0= W\u00a0<\/span><sub><span>T<\/span><\/sub><span>\u00a0&#8211; W\u00a0<\/span><sub><span>C<\/span><\/sub><span>\u00a0) diminue avec le rapport de pression (\u00a0<\/span><strong><span>cycle A<\/span><\/strong><span>\u00a0).\u00a0Mais le cycle A a la plus grande efficacit\u00e9.<\/span><\/p>\n<p><span>D&#8217;un autre c\u00f4t\u00e9, le\u00a0<\/span><strong><span>cycle B<\/span><\/strong><span>\u00a0a une production nette de travail plus importante par cycle (zone ferm\u00e9e dans le diagramme) et donc une plus grande production nette d\u00e9velopp\u00e9e par unit\u00e9 de d\u00e9bit massique.\u00a0Le travail produit par le cycle multiplie un d\u00e9bit massique par le cycle est \u00e9gal \u00e0 la puissance de sortie produite par la turbine \u00e0 gaz.<\/span><\/p>\n<p><span>Par cons\u00e9quent, avec moins de puissance de travail par cycle (cycle A), un d\u00e9bit massique plus important (donc un\u00a0<\/span><strong><span>syst\u00e8me plus grand<\/span><\/strong><span>\u00a0) est n\u00e9cessaire pour maintenir la m\u00eame puissance de sortie, ce qui peut ne pas \u00eatre \u00e9conomique.\u00a0C&#8217;est la consid\u00e9ration cl\u00e9 dans la conception d&#8217;une turbine \u00e0 gaz, car ici les ing\u00e9nieurs doivent \u00e9quilibrer l&#8217;efficacit\u00e9 thermique et la compacit\u00e9.\u00a0Dans la plupart des conceptions courantes, le rapport de pression d&#8217;une turbine \u00e0 gaz varie d&#8217;environ 11 \u00e0 16.<\/span><\/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>Am\u00e9lioration de l&#8217;efficacit\u00e9 thermique &#8211; cycle de Brayton<\/span><\/h2>\n<p><span>Il existe plusieurs m\u00e9thodes, comment am\u00e9liorer l&#8217;efficacit\u00e9 thermique du cycle de Brayton.\u00a0En supposant que la temp\u00e9rature maximale est limit\u00e9e par des consid\u00e9rations m\u00e9tallurgiques, ces m\u00e9thodes sont les suivantes:<\/span><\/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-accordion\">\n<div class=\"su-spoiler su-spoiler-style-default su-spoiler-icon-plus su-spoiler-closed\">\n<div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">\n<ul>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">Augmentation du rapport de pression<\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">R\u00e9g\u00e9n\u00e9ration de chaleur<\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">R\u00e9chauffer &#8211; R\u00e9chauffeurs<\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">Compression avec refroidissement interm\u00e9diaire<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-spoiler-content su-clearfix\"><\/div>\n<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<figure id=\"attachment_17709\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17709\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-cycle-reheat-intercooling-regeneration.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17709 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-cycle-reheat-intercooling-regeneration-300x256.png\" alt=\"Cycle de Brayton - r\u00e9chauffage - refroidissement interm\u00e9diaire - r\u00e9g\u00e9n\u00e9ration\" width=\"300\" height=\"256\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Brayton-cycle-reheat-intercooling-regeneration-300x256.png\" \/><\/a><figcaption id=\"caption-attachment-17709\" class=\"wp-caption-text\"><span>Diagramme Ts du cycle de Brayton avec r\u00e9chauffage, refroidissement interm\u00e9diaire et r\u00e9g\u00e9n\u00e9ration thermique<\/span><\/figcaption><\/figure>\n<p><strong><span>R\u00e9chauffage, refroidissement interm\u00e9diaire et r\u00e9g\u00e9n\u00e9ration dans le cycle de Brayton<\/span><\/strong><\/p>\n<p><span>Comme cela a \u00e9t\u00e9 discut\u00e9, le\u00a0<\/span><strong><span>r\u00e9chauffage et le refroidissement interm\u00e9diaire<\/span><\/strong><span>\u00a0sont compl\u00e9mentaires de\u00a0<\/span><strong><span>la r\u00e9g\u00e9n\u00e9ration thermique<\/span><\/strong><span>\u00a0.\u00a0En soi, ils n&#8217;augmenteraient pas n\u00e9cessairement l&#8217;efficacit\u00e9 thermique.Cependant, lorsque le refroidissement interm\u00e9diaire ou le r\u00e9chauffage est utilis\u00e9 en conjonction avec la r\u00e9g\u00e9n\u00e9ration thermique, une augmentation significative de l&#8217;efficacit\u00e9 thermique peut \u00eatre obtenue et la puissance de travail nette est \u00e9galement augment\u00e9e.\u00a0Cela n\u00e9cessite une turbine \u00e0 gaz \u00e0 deux \u00e9tages de compression et deux \u00e9tages de turbine.<\/span><\/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-accordion\">\n<div class=\"su-spoiler su-spoiler-style-default su-spoiler-icon-plus su-spoiler-closed\">\n<div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><\/div>\n<div class=\"su-spoiler-content su-clearfix\"><\/div>\n<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-60 lgc-tablet-grid-60 lgc-mobile-grid-100 lgc-equal-heights  lgc-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Efficacit\u00e9 isentropique &#8211; Turbine, compresseur<\/span><\/h2>\n<p><span>La plupart\u00a0<\/span><strong><span>des appareils \u00e0 d\u00e9bit constant<\/span><\/strong><span>\u00a0(turbines, compresseurs, buses) fonctionnent dans\u00a0<\/span><strong><span>des conditions adiabatiques<\/span><\/strong><span>\u00a0, mais ils ne sont pas vraiment\u00a0<\/span><strong><span>isentropiques<\/span><\/strong><span>\u00a0mais sont plut\u00f4t id\u00e9alis\u00e9s comme isentropiques \u00e0 des fins de calcul.\u00a0Nous d\u00e9finissons les param\u00e8tres\u00a0<\/span><strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>T<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0,\u00a0<\/span><\/em><\/strong>\u00a0<strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>C<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0, \u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>N<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0,<\/span><\/em><\/strong><span>\u00a0comme un\u00a0<\/span><strong><span>rapport<\/span><\/strong><span>\u00a0entre\u00a0<\/span><strong><span>le travail r\u00e9el effectu\u00e9<\/span><\/strong><span>\u00a0par appareil et le\u00a0<\/span><strong><span>travail par appareil lorsqu&#8217;il est utilis\u00e9 dans des conditions isentropiques<\/span><\/strong><span>\u00a0(dans le cas d&#8217;une turbine).\u00a0Ce rapport est connu sous le nom d&#8217;\u00a0<\/span><a title=\"Efficacit\u00e9 isentropique - Turbine \/ compresseur \/ buse\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-processes\/isentropic-process\/isentropic-efficiency-turbinecompressornozzle\/\"><strong><span>efficacit\u00e9 turbine isentropique \/ compresseur \/ buse<\/span><\/strong><\/a><span>\u00a0.<\/span><\/p>\n<p><span>Voir aussi:\u00a0<\/span><a title=\"Irr\u00e9versibilit\u00e9 des processus naturels\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/irreversibility-of-natural-processes\/\"><span>Irr\u00e9versibilit\u00e9 des processus naturels<\/span><\/a><\/p>\n<p><span>Ces param\u00e8tres d\u00e9crivent l&#8217;efficacit\u00e9 avec laquelle une turbine, un compresseur ou une buse se rapproche d&#8217;un dispositif isentropique correspondant.\u00a0Ce param\u00e8tre r\u00e9duit l&#8217;efficacit\u00e9 globale et le rendement de travail.\u00a0Pour les turbines, la valeur de\u00a0<\/span><strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>T<\/span><\/sub><\/em><\/strong><span>\u00a0est g\u00e9n\u00e9ralement de 0,7 \u00e0 0,9 (70\u201390%).<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-equations.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17298 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-equations.png\" alt=\"Efficacit\u00e9 isentropique - \u00e9quations\" width=\"532\" height=\"357\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-equations.png\" \/><\/a><\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-40 lgc-tablet-grid-40 lgc-mobile-grid-100 lgc-equal-heights  lgc-last\">\n<div class=\"inside-grid-column\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-compression.png\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-17268 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-compression-274x300.png\" alt=\"Compression isentropique vs adiabatique\" width=\"274\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-compression-274x300.png\" \/><\/a><\/p>\n<figure id=\"attachment_17267\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17267\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-expansion.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17267 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-expansion-276x300.png\" alt=\"Expansion isentropique vs adiabatique\" width=\"276\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-vs.-adiabatic-expansion-276x300.png\" \/><\/a><figcaption id=\"caption-attachment-17267\" class=\"wp-caption-text\"><span>Le processus isentropique est un cas particulier des processus adiabatiques.\u00a0Il s&#8217;agit d&#8217;un processus adiabatique r\u00e9versible.\u00a0Un processus isentropique peut \u00e9galement \u00eatre appel\u00e9 un processus d&#8217;entropie constante.<br \/>\n<\/span><\/figcaption><\/figure>\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","protected":false},"excerpt":{"rendered":"<p>Th\u00e9orie du cycle de Brayton &#8211; Moteur de Brayton. Le cycle de Brayton comprend deux processus isentropiques et deux processus isobares. Son efficacit\u00e9 thermique d\u00e9pend du taux de pression. G\u00e9nie thermique Cycle de Brayton &#8211; Turbine Engine En 1872, un ing\u00e9nieur am\u00e9ricain,\u00a0George Bailey Brayton, a fait\u00a0progresser l&#8217;\u00e9tude des\u00a0moteurs thermiques\u00a0en brevetant un moteur \u00e0 combustion interne &#8230; <a title=\"Quelle est la th\u00e9orie du cycle de Brayton &#8211; Moteur Brayton &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-la-theorie-du-cycle-de-brayton-moteur-brayton-definition\/\" aria-label=\"En savoir plus sur Quelle est la th\u00e9orie du cycle de Brayton &#8211; Moteur Brayton &#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>Quelle est la th\u00e9orie du cycle de Brayton - Moteur Brayton - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Th\u00e9orie du cycle de Brayton - Moteur de Brayton. 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