{"id":48215,"date":"2019-11-08T16:35:02","date_gmt":"2019-11-08T15:35:02","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-eficiencia-termica-do-ciclo-de-brayton-definicao\/"},"modified":"2020-01-28T08:26:30","modified_gmt":"2020-01-28T07:26:30","slug":"o-que-e-eficiencia-termica-do-ciclo-de-brayton-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-do-ciclo-de-brayton-definicao\/","title":{"rendered":"O que \u00e9 efici\u00eancia t\u00e9rmica do ciclo de Brayton &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Os modernos motores de turbina a g\u00e1s e os motores a jato de respira\u00e7\u00e3o tamb\u00e9m seguem o ciclo de Brayton.\u00a0A efici\u00eancia t\u00e9rmica do ciclo de Brayton pode ser expressa em termos de temperaturas.\u00a0Engenharia T\u00e9rmica<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Efici\u00eancia t\u00e9rmica do ciclo de Brayton<\/h2>\n<p>Vamos assumir o\u00a0<strong>ciclo de Brayton ideal<\/strong>\u00a0que descreve o funcionamento de um\u00a0<strong>motor de calor com\u00a0<\/strong><strong>press\u00e3o constante<\/strong>\u00a0.\u00a0<strong>Os modernos<\/strong>\u00a0motores de\u00a0<strong>turbina a g\u00e1s<\/strong>\u00a0e os motores a\u00a0<strong>jato de respira\u00e7\u00e3o<\/strong>\u00a0tamb\u00e9m seguem o ciclo de Brayton.\u00a0Esse ciclo consiste em quatro processos termodin\u00e2micos:<\/p>\n<ol>\n<li>\n<figure id=\"attachment_16843\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16843\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16843 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" alt=\"primeira lei - exemplo - ciclo de brayton\" width=\"300\" height=\"244\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" \/><\/a><figcaption id=\"caption-attachment-16843\" class=\"wp-caption-text\">O ciclo ideal de Brayton consiste em quatro processos termodin\u00e2micos.\u00a0Dois processos isentr\u00f3picos e dois processos isob\u00e1ricos.<\/figcaption><\/figure>\n<p><strong>compress\u00e3o isentr\u00f3pica<\/strong>\u00a0&#8211; o ar ambiente \u00e9 aspirado para o compressor, onde \u00e9 pressurizado (1 \u2192 2).\u00a0O trabalho necess\u00e1rio para o compressor \u00e9 dado por\u00a0<strong>W\u00a0<\/strong><strong><sub>C<\/sub><\/strong><strong>\u00a0= H\u00a0<\/strong><strong><sub>2<\/sub><\/strong><strong>\u00a0&#8211; H\u00a0<\/strong><strong><sub>1<\/sub><\/strong><strong>\u00a0.<\/strong><\/li>\n<li><strong>adi\u00e7\u00e3o de calor isob\u00e1rico<\/strong>\u00a0&#8211; o ar comprimido passa por uma c\u00e2mara de combust\u00e3o, onde o combust\u00edvel \u00e9 queimado e o ar ou outro meio \u00e9 aquecido (2 \u2192 3).\u00a0\u00c9 um processo de press\u00e3o constante, pois a c\u00e2mara est\u00e1 aberta para entrar e sair.\u00a0O calor l\u00edquido adicionado \u00e9 dado por\u00a0<strong>Q\u00a0<\/strong><strong><sub>add<\/sub><\/strong><strong>\u00a0= H\u00a0<\/strong><strong><sub>3<\/sub><\/strong><strong>\u00a0&#8211; H\u00a0<\/strong><strong><sub>2<\/sub><\/strong><\/li>\n<li><strong>expans\u00e3o isentr\u00f3pica<\/strong>\u00a0&#8211; o ar aquecido e pressurizado se expande na turbina, gasta sua energia.\u00a0O trabalho realizado pela turbina \u00e9 dado por\u00a0<strong>W\u00a0<\/strong><strong><sub>T<\/sub><\/strong><strong>\u00a0= H\u00a0<\/strong><strong><sub>4<\/sub><\/strong><strong>\u00a0&#8211; H\u00a0<\/strong><strong><sub>3<\/sub><\/strong><\/li>\n<li><strong>rejei\u00e7\u00e3o de calor isob\u00e1rica<\/strong>\u00a0&#8211; o calor residual deve ser rejeitado para fechar o ciclo.\u00a0O calor l\u00edquido rejeitado \u00e9 dado por\u00a0<strong>Q\u00a0<\/strong><strong><sub>re<\/sub><\/strong><strong>\u00a0= H\u00a0<\/strong><strong><sub>4<\/sub><\/strong><strong>\u00a0&#8211; H\u00a0<\/strong><strong><sub>1<\/sub><\/strong><\/li>\n<\/ol>\n<p>Como pode ser visto, podemos descrever e calcular (por exemplo, efici\u00eancia termodin\u00e2mica) esses ciclos (da mesma forma para o\u00a0<strong>ciclo de Rankine<\/strong>\u00a0) usando\u00a0<a title=\"O que \u00e9 entalpia\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\">entalpias<\/a>\u00a0.<\/p>\n<p>Para calcular a\u00a0<strong>efici\u00eancia t\u00e9rmica<\/strong>\u00a0do\u00a0<strong>ciclo de Brayton<\/strong>\u00a0(compressor \u00fanico e turbina \u00fanica), os engenheiros usam a\u00a0<strong>primeira lei da termodin\u00e2mica<\/strong>\u00a0em termos de entalpia e n\u00e3o em energia interna.<\/p>\n<p>A\u00a0<a title=\"Primeira lei em termos de entalpia 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\/\">primeira lei em termos de entalpia<\/a>\u00a0\u00e9:<\/p>\n<p><em><strong>dH = dQ + Vdp<\/strong><\/em><\/p>\n<p>Nesta equa\u00e7\u00e3o, o termo\u00a0<strong><em>Vdp<\/em><\/strong>\u00a0\u00e9 um\u00a0<strong>trabalho de processo de fluxo.\u00a0<\/strong>Este trabalho, \u00a0\u00a0<strong><em>Vdp<\/em><\/strong>\u00a0, \u00e9 usado para\u00a0<strong>sistemas de fluxo aberto<\/strong>\u00a0como uma\u00a0<strong>turbina<\/strong>\u00a0ou uma\u00a0<strong>bomba<\/strong>\u00a0na qual existe um\u00a0<strong>&#8220;dp&#8221;<\/strong>\u00a0, ou seja, mudan\u00e7a de press\u00e3o.\u00a0N\u00e3o h\u00e1 altera\u00e7\u00f5es no\u00a0<a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/control-volume-control-volume-analysis\/\">volume de controle<\/a>\u00a0.\u00a0Como pode ser visto, essa forma de lei\u00a0<strong>simplifica a descri\u00e7\u00e3o da transfer\u00eancia de energia<\/strong>\u00a0.<\/p>\n<p><span>Existem express\u00f5es em termos de vari\u00e1veis \u200b\u200bmais familiares, como\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-temperatura-fisica-definicao\/\"><span>temperatura<\/span><\/a><span>\u00a0e\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><span>press\u00e3o<\/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-aT) dp<\/span><\/em><\/strong><\/p>\n<p><span>Onde\u00a0<\/span><strong><span>C\u00a0<\/span><\/strong><strong><sub><span>p<\/span><\/sub><\/strong><span>\u00a0\u00e9 a\u00a0<\/span><strong><a title=\"Capacidade t\u00e9rmica - Capacidade t\u00e9rmica espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/heat-capacity\/\"><span>capacidade de calor<\/span><\/a><span>\u00a0a uma press\u00e3o constante<\/span><\/strong><span>\u00a0e\u00a0<\/span><strong><em><span>\u03b1<\/span><\/em><\/strong><span>\u00a0\u00e9 o coeficiente de expans\u00e3o t\u00e9rmica (c\u00fabico).\u00a0Para\u00a0<\/span><strong><span>o g\u00e1s ideal<\/span><\/strong><span>\u00a0\u03b1T = 1 e, portanto:<\/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>A press\u00e3o constante<\/span><\/strong><span>\u00a0, a\u00a0<\/span><strong><span>mudan\u00e7a de entalpia<\/span><\/strong><span>\u00a0\u00e9 igual \u00e0\u00a0<\/span><strong><span>energia<\/span><\/strong><span>\u00a0transferida do ambiente atrav\u00e9s do aquecimento:<\/span><\/p>\n<p><strong><span>Processo isob\u00e1rico (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><strong><span>\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)<\/span><\/em><\/strong><\/p>\n<p><strong><span>Na entropia constante<\/span><\/strong><span>\u00a0, ou seja, no processo isentr\u00f3pico, a\u00a0<\/span><strong><span>mudan\u00e7a de entalpia<\/span><\/strong><span>\u00a0\u00e9 igual ao\u00a0<\/span><strong><span>trabalho do processo de fluxo<\/span><\/strong><span>\u00a0realizado no ou pelo sistema:<\/span><\/p>\n<p><strong><span>Processo isentr\u00f3pico (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)<\/span><\/em><\/strong><\/p>\n<figure id=\"attachment_16843\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16843\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16843 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" alt=\"primeira lei - exemplo - ciclo de brayton\" width=\"300\" height=\"244\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" \/><\/a><figcaption id=\"caption-attachment-16843\" class=\"wp-caption-text\"><span>O ciclo ideal de Brayton consiste em quatro processos termodin\u00e2micos.\u00a0Dois processos isentr\u00f3picos e dois processos isob\u00e1ricos.<\/span><\/figcaption><\/figure>\n<p><span>A\u00a0<\/span><strong><span>entalpia<\/span><\/strong><span>\u00a0pode ser transformada em uma\u00a0vari\u00e1vel\u00a0<\/span><strong><span>intensiva<\/span><\/strong><span>\u00a0ou\u00a0<\/span><strong><span>espec\u00edfica<\/span><\/strong><span>\u00a0dividindo-se pela\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-mass-and-weight\/what-is-mass\/\"><span>massa<\/span><\/a><span>\u00a0.\u00a0<\/span><strong><span>Os engenheiros usam mais a\u00a0<\/span><\/strong><strong><span>entalpia espec\u00edfica<\/span><\/strong><span>\u00a0na an\u00e1lise termodin\u00e2mica do que a pr\u00f3pria entalpia.\u00a0A efici\u00eancia t\u00e9rmica desse ciclo simples de Brayton, para o g\u00e1s ideal e em termos de entalpias espec\u00edficas, agora pode ser expressa em termos de temperatura:<\/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=\"efici\u00eancia t\u00e9rmica do ciclo 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<\/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>Este artigo \u00e9 baseado na tradu\u00e7\u00e3o autom\u00e1tica do artigo original em ingl\u00eas. Para mais informa\u00e7\u00f5es, consulte o artigo em ingl\u00eas. Voc\u00ea pode nos ajudar. Se voc\u00ea deseja corrigir a tradu\u00e7\u00e3o, envie-a para: translations@nuclear-power.com ou preencha o formul\u00e1rio de tradu\u00e7\u00e3o on-line. Agradecemos sua ajuda, atualizaremos a tradu\u00e7\u00e3o o mais r\u00e1pido poss\u00edvel. Obrigado.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Os modernos motores de turbina a g\u00e1s e os motores a jato de respira\u00e7\u00e3o tamb\u00e9m seguem o ciclo de Brayton.\u00a0A efici\u00eancia t\u00e9rmica do ciclo de Brayton pode ser expressa em termos de temperaturas.\u00a0Engenharia T\u00e9rmica Efici\u00eancia t\u00e9rmica do ciclo de Brayton Vamos assumir o\u00a0ciclo de Brayton ideal\u00a0que descreve o funcionamento de um\u00a0motor de calor com\u00a0press\u00e3o constante\u00a0.\u00a0Os &#8230; <a title=\"O que \u00e9 efici\u00eancia t\u00e9rmica do ciclo de Brayton &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-do-ciclo-de-brayton-definicao\/\" aria-label=\"More on O que \u00e9 efici\u00eancia t\u00e9rmica do ciclo de Brayton &#8211; Defini\u00e7\u00e3o\">Ler mais<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 efici\u00eancia t\u00e9rmica do ciclo de Brayton - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"Os modernos motores de turbina a g\u00e1s e os motores a jato de respira\u00e7\u00e3o tamb\u00e9m seguem o ciclo de Brayton. 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A efici\\u00eancia t\\u00e9rmica do ciclo de Brayton pode ser expressa em termos de temperaturas. 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