{"id":51359,"date":"2020-01-26T13:27:30","date_gmt":"2020-01-26T12:27:30","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-o-ciclo-rankine-ciclo-da-turbina-a-vapor-definicao\/"},"modified":"2020-01-26T13:40:43","modified_gmt":"2020-01-26T12:40:43","slug":"o-que-e-o-ciclo-rankine-ciclo-da-turbina-a-vapor-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-ciclo-rankine-ciclo-da-turbina-a-vapor-definicao\/","title":{"rendered":"O que \u00e9 o Ciclo Rankine &#8211; Ciclo da Turbina a Vapor &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">O ciclo Rankine descreve o desempenho dos sistemas de turbinas a vapor.\u00a0Hoje, o ciclo Rankine \u00e9 o ciclo operacional fundamental de todas as usinas termel\u00e9tricas.\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-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>Ciclo Rankine &#8211; Ciclo da turbina a vapor<\/h2>\n<p>Em 1859, um engenheiro escoc\u00eas,\u00a0<strong>William John Macquorn Rankine,<\/strong>\u00a0avan\u00e7ou no estudo de motores t\u00e9rmicos publicando o &#8221;\u00a0<em>Manual do motor a vapor e outros motores principais<\/em>\u00a0&#8220;.\u00a0Rankine desenvolveu uma teoria completa do\u00a0<strong>motor<\/strong>\u00a0a\u00a0<strong>vapor<\/strong>\u00a0e, de fato, de todos os motores t\u00e9rmicos.\u00a0Juntamente com\u00a0<strong>Rudolf Clausius<\/strong>\u00a0e\u00a0<strong>William Thomson<\/strong>\u00a0(Lord Kelvin), ele contribuiu para a termodin\u00e2mica, concentrando-se particularmente na primeira das tr\u00eas leis termodin\u00e2micas.<\/p>\n<p>O\u00a0<strong>ciclo Rankine<\/strong>\u00a0recebeu seu nome e descreve o desempenho de\u00a0<strong>sistemas de turbinas a vapor<\/strong>\u00a0, embora o princ\u00edpio te\u00f3rico tamb\u00e9m se aplique a motores alternativos, como locomotivas a vapor.\u00a0Em geral, o\u00a0<strong>ciclo Rankine<\/strong>\u00a0\u00e9 um ciclo termodin\u00e2mico idealizado de um motor t\u00e9rmico de press\u00e3o constante que converte parte do calor em trabalho mec\u00e2nico.\u00a0Nesse ciclo, o calor \u00e9 fornecido externamente a um circuito fechado, que geralmente usa \u00e1gua (na fase l\u00edquida e de vapor) como fluido de trabalho.\u00a0Em contraste com o\u00a0<a title=\"Ciclo de Brayton - Motor de turbina a g\u00e1s\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-ciclo-de-brayton-motor-de-turbina-a-gas-definicao\/\">ciclo de Brayton<\/a>\u00a0, o fluido de trabalho no\u00a0<strong>ciclo Rankine<\/strong>\u00a0\u00a0passa pela\u00a0<strong>mudan\u00e7a de fase<\/strong>\u00a0\u00a0de uma fase l\u00edquida para vapor e vice-versa.<\/p>\n<p>Embora muitas subst\u00e2ncias possam ser usadas como fluido de trabalho no ciclo Rankine (inorg\u00e2nico ou mesmo org\u00e2nico), a\u00a0<a title=\"Propriedades da \u00c1gua\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/materials-nuclear-engineering\/properties-of-water\/\"><strong>\u00e1gua<\/strong><\/a>\u00a0\u00e9 geralmente o fluido de escolha devido \u00e0s suas propriedades favor\u00e1veis, como qu\u00edmica n\u00e3o t\u00f3xica e n\u00e3o reativa, abund\u00e2ncia e baixo custo, bem como suas propriedades termodin\u00e2micas.\u00a0Por exemplo, a\u00a0<strong>\u00e1gua<\/strong>\u00a0possui o\u00a0<strong>calor espec\u00edfico mais alto<\/strong>\u00a0de qualquer subst\u00e2ncia comum &#8211; 4,19 kJ \/ kg K. Al\u00e9m disso, possui um\u00a0<a title=\"Calor latente de vaporiza\u00e7\u00e3o\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/latent-heat-of-vaporization\/\"><strong>calor de vaporiza\u00e7\u00e3o<\/strong><\/a>\u00a0muito alto\u00a0, o que a torna um\u00a0<strong>fluido de arrefecimento eficaz<\/strong>\u00a0e\u00a0<strong>m\u00e9dio<\/strong>\u00a0em usinas termel\u00e9tricas e outras ind\u00fastrias de energia.\u00a0No caso do ciclo Rankine, a\u00a0<a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\">Lei do G\u00e1s Ideal<\/a>quase n\u00e3o pode ser usado (o vapor n\u00e3o segue pV = nRT), portanto, todos os par\u00e2metros importantes de \u00e1gua e vapor s\u00e3o tabulados nas chamadas &#8221;\u00a0<strong><a title=\"Tabelas de Vapor - Propriedades Espec\u00edficas da \u00c1gua e Vapor\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/steam-tables\/\">Tabelas de Vapor<\/a><\/strong>\u00a0&#8220;.<\/p>\n<p>Uma das principais\u00a0<strong>vantagens<\/strong>\u00a0do\u00a0<strong>ciclo Rankine<\/strong>\u00a0\u00e9 que o\u00a0processo de\u00a0<strong>compress\u00e3o<\/strong>\u00a0na bomba ocorre\u00a0<strong>em um l\u00edquido<\/strong>\u00a0.\u00a0Ao condensar o vapor de trabalho em um l\u00edquido (dentro de um condensador), a press\u00e3o na sa\u00edda da turbina \u00e9 reduzida e a energia requerida pela bomba de alimenta\u00e7\u00e3o consome apenas 1% a 3% da pot\u00eancia de sa\u00edda da turbina e esses fatores contribuem para uma maior efici\u00eancia para o ciclo.<\/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\/SPg7hOxFItI?\" width=\"340\" height=\"200\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-lazy-type=\"iframe\" data-src=\"https:\/\/www.youtube.com\/embed\/SPg7hOxFItI?\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17771 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\" alt=\"Ciclo Rankine\" width=\"591\" height=\"897\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\" \/><\/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<p>Hoje, o\u00a0<strong>ciclo Rankine<\/strong>\u00a0\u00e9 o ciclo operacional fundamental de\u00a0<strong>todas as usinas termel\u00e9tricas,<\/strong>\u00a0onde um fluido operacional \u00e9 continuamente evaporado e condensado.\u00a0\u00c9 um dos\u00a0<strong>ciclos termodin\u00e2micos<\/strong>\u00a0mais comuns\u00a0<strong>,<\/strong>\u00a0porque na maioria dos lugares do mundo a turbina \u00e9 movida a vapor.Ao contr\u00e1rio do ciclo de Carnot, o ciclo de Rankine n\u00e3o executa processos isot\u00e9rmicos, porque estes devem ser realizados muito lentamente.\u00a0Em um ciclo Rankine ideal, o sistema que executa o ciclo passa por uma s\u00e9rie de quatro processos: dois processos isentr\u00f3picos (adiab\u00e1ticos revers\u00edveis) alternados com dois processos isob\u00e1ricos.<\/p>\n<p>Como\u00a0<a title=\"Princ\u00edpio de Carnot - regra de Carnot\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnots-principle-carnots-rule\/\"><strong>o princ\u00edpio de Carnot<\/strong><\/a>\u00a0afirma que nenhum motor pode ser mais eficiente do que um motor revers\u00edvel (\u00a0<strong>um motor a quente Carnot<\/strong>\u00a0) operando entre os mesmos reservat\u00f3rios de alta temperatura e baixa temperatura, uma turbina a vapor baseada no ciclo Rankine deve ter uma efici\u00eancia mais baixa que a efici\u00eancia de Carnot.<\/p>\n<p>Nas modernas\u00a0<a href=\"https:\/\/www.nuclear-power.com\/nuclear-power-plant\/\"><strong>usinas nucleares,<\/strong><\/a>\u00a0a efici\u00eancia t\u00e9rmica geral \u00e9 de cerca de\u00a0<strong>um ter\u00e7o<\/strong>\u00a0(33%), de modo que s\u00e3o necess\u00e1rios\u00a0<strong>3000 MWth<\/strong>\u00a0de energia t\u00e9rmica da rea\u00e7\u00e3o de fiss\u00e3o para gerar\u00a0<strong>1000 MWe<\/strong>\u00a0de energia el\u00e9trica.\u00a0Efici\u00eancias mais altas podem ser alcan\u00e7adas aumentando a\u00a0<strong>temperatura<\/strong>\u00a0do\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-steam-propriedades-do-steam-definicao\/\">vapor<\/a>\u00a0.\u00a0Mas isso requer um aumento nas press\u00f5es dentro de caldeiras ou\u00a0<a href=\"https:\/\/www.nuclear-power.com\/steam-generator\/\">geradores de vapor<\/a>.\u00a0No entanto, considera\u00e7\u00f5es metal\u00fargicas imp\u00f5em limites superiores a essas press\u00f5es.\u00a0Em compara\u00e7\u00e3o com outras fontes de energia, a efici\u00eancia t\u00e9rmica de 33% n\u00e3o \u00e9 grande.\u00a0Mas deve-se notar que as usinas nucleares s\u00e3o muito mais complexas que as usinas de combust\u00edveis f\u00f3sseis e \u00e9 muito mais f\u00e1cil queimar combust\u00edveis f\u00f3sseis do que gerar energia a partir\u00a0<a href=\"https:\/\/www.nuclear-power.com\/nuclear-power-plant\/nuclear-fuel\/\">de combust\u00edveis nucleares<\/a> .<\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/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<h2><span>Ciclo Rankine &#8211; Processos<\/span><\/h2>\n<p><span>Em um ciclo Rankine ideal, o sistema que executa o ciclo passa por uma s\u00e9rie de quatro processos: dois processos isentr\u00f3picos (adiab\u00e1ticos revers\u00edveis) alternados com dois processos isob\u00e1ricos:<\/span><\/p>\n<ul>\n<li>\n<figure id=\"attachment_17766\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17766\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-Diagram-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17766 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-Diagram-min-300x300.png\" alt=\"Ciclo de Rankine - Diagrama Ts\" width=\"300\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-Diagram-min-300x300.png\" \/><\/a><figcaption id=\"caption-attachment-17766\" class=\"wp-caption-text\"><span>Ciclo de Rankine &#8211; Diagrama Ts<\/span><\/figcaption><\/figure>\n<p><strong><span>Compress\u00e3o isentr\u00f3pica<\/span><\/strong><span>\u00a0(compress\u00e3o em bombas centr\u00edfugas) &#8211; O condensado l\u00edquido \u00e9 comprimido adiabaticamente do estado 1 ao estado 2 por bombas centr\u00edfugas (geralmente por bombas de condensa\u00e7\u00e3o e depois por bombas de \u00e1gua de alimenta\u00e7\u00e3o).\u00a0Os condensados \u200b\u200bl\u00edquidos s\u00e3o bombeados do condensador para a caldeira de alta press\u00e3o.\u00a0Nesse processo, o ambiente trabalha com o fluido, aumentando sua entalpia (h = u + pv) e comprimindo-o (aumentando sua press\u00e3o).\u00a0Por outro lado, a entropia permanece inalterada.\u00a0O trabalho necess\u00e1rio para o compressor \u00e9 dado por\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>Pumps<\/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>Adi\u00e7\u00e3o de calor isob\u00e1rico<\/span><\/strong><span>\u00a0(em um trocador de calor &#8211; caldeira) &#8211; Nesta fase (entre o estado 2 e o estado 3), h\u00e1 uma transfer\u00eancia de calor de press\u00e3o constante para o condensado l\u00edquido de uma fonte externa, uma vez que a c\u00e2mara est\u00e1 aberta para entrar e sair .\u00a0A \u00e1gua de alimenta\u00e7\u00e3o (circuito secund\u00e1rio) \u00e9 aquecida at\u00e9 o ponto de ebuli\u00e7\u00e3o (2 \u2192 3a) desse fluido e depois evaporada na caldeira (3a \u2192 3).\u00a0O calor l\u00edquido adicionado \u00e9 dado por\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>Expans\u00e3o isentr\u00f3pica<\/span><\/strong><span>\u00a0(expans\u00e3o em uma turbina a vapor) &#8211; O vapor da caldeira se expande adiabaticamente do estado 3 para o estado 4 em uma turbina a vapor para produzir trabalho e depois \u00e9 descarregado no condensador (parcialmente condensado).\u00a0O vapor trabalha nos arredores (p\u00e1s da turbina) e perde uma quantidade de entalpia igual ao trabalho que sai do sistema.\u00a0O trabalho realizado pela turbina \u00e9 dado por\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>Novamente a entropia permanece inalterada.<\/span><\/li>\n<li><strong><span>Rejei\u00e7\u00e3o de calor isob\u00e1rica (em um trocador de calor)<\/span><\/strong><span>\u00a0&#8211; Nesta fase, o ciclo \u00e9 conclu\u00eddo por um processo de press\u00e3o constante, no qual o calor \u00e9 rejeitado pelo vapor parcialmente condensado.\u00a0H\u00e1 transfer\u00eancia de calor do vapor para a \u00e1gua de resfriamento que flui em um circuito de resfriamento.\u00a0O vapor condensa e a temperatura da \u00e1gua de resfriamento aumenta.\u00a0O calor l\u00edquido rejeitado \u00e9 dado por\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>Durante um ciclo de Rankine, o trabalho \u00e9 realizado no fluido pelas bombas entre os estados 1 e 2 (\u00a0<\/span><strong><span>i\u00a0<\/span><\/strong><strong><span>compress\u00e3o sentropic<\/span><\/strong><span>\u00a0).\u00a0O trabalho \u00e9 feito pelo fluido na turbina entre as fases 3 e 4 (\u00a0<\/span><strong><span>i\u00a0<\/span><\/strong><strong><span>expans\u00e3o sentropic<\/span><\/strong><span>\u00a0).\u00a0A diferen\u00e7a entre o trabalho realizado pelo fluido e o trabalho realizado no fluido \u00e9 o trabalho l\u00edquido produzido pelo ciclo e corresponde \u00e0 \u00e1rea delimitada pela curva do ciclo (no diagrama pV).\u00a0O fluido de trabalho em um ciclo Rankine segue um circuito fechado e \u00e9 reutilizado constantemente.<\/span><\/p>\n<p><span>Como pode ser visto, \u00e9 conveniente usar a entalpia e a primeira lei em termos de entalpia na an\u00e1lise desse ciclo termodin\u00e2mico.\u00a0Esta forma da lei\u00a0<\/span><strong><span>simplifica a descri\u00e7\u00e3o da transfer\u00eancia de energia<\/span><\/strong><span>\u00a0.\u00a0<\/span><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><\/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><\/p>\n<p><span>Veja tamb\u00e9m:\u00a0<\/span><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\/\"><span>Por que os engenheiros de energia usam entalpia?\u00a0Resposta: dH = dQ + Vdp<\/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<div class=\"su-spacer\"><\/div>\n<h2><span>Processo isentr\u00f3pico<\/span><\/h2>\n<p><span>Um\u00a0<\/span><a title=\"Processo isentr\u00f3pico\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-isentropico-definicao\/\"><strong><span>processo isentr\u00f3pico<\/span><\/strong><\/a><span>\u00a0\u00e9 um\u00a0<\/span><a title=\"Processos termodin\u00e2micos\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-termodinamico-definicao\/\"><strong><span>processo termodin\u00e2mico<\/span><\/strong><\/a><span>\u00a0, no qual a\u00a0<\/span><a title=\"O que \u00e9 entropia\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/\"><strong><span>entropia<\/span><\/strong>\u00a0<\/a><span>do fluido ou g\u00e1s permanece constante.\u00a0Isso significa que o\u00a0<\/span><strong><span>processo isentr\u00f3pico<\/span><\/strong><span>\u00a0\u00e9 um caso especial de um\u00a0<\/span><strong><span>processo adiab\u00e1tico<\/span><\/strong><span>\u00a0no qual n\u00e3o h\u00e1 transfer\u00eancia de calor ou mat\u00e9ria.\u00a0\u00c9 um\u00a0<\/span><strong><span>processo adiab\u00e1tico revers\u00edvel<\/span><\/strong><span>\u00a0.\u00a0A suposi\u00e7\u00e3o de que n\u00e3o h\u00e1 transfer\u00eancia de calor \u00e9 muito importante, pois podemos usar a aproxima\u00e7\u00e3o adiab\u00e1tica apenas em\u00a0<\/span><strong><span>processos muito r\u00e1pidos<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><strong><span>Processo isentr\u00f3pico e a primeira lei<\/span><\/strong><\/p>\n<p><span>Para um sistema fechado, podemos escrever a\u00a0<\/span><strong><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\/\"><span>primeira lei da termodin\u00e2mica em termos de entalpia<\/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>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>\u00a0 \u00a0\u00a0<\/strong><\/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>Processo isob\u00e1rico<\/span><\/h2>\n<p><span>Um\u00a0<\/span><a title=\"Processo isob\u00e1rico\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-processo-isobarico-definicao\/\"><strong><span>processo isob\u00e1rico<\/span><\/strong><\/a><span>\u00a0\u00e9 um\u00a0<\/span><a title=\"Processos termodin\u00e2micos\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-termodinamico-definicao\/\"><span>processo termodin\u00e2mico<\/span><\/a><span>\u00a0, no qual a\u00a0<\/span><a title=\"O que \u00e9 press\u00e3o - F\u00edsica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><strong><span>press\u00e3o<\/span><\/strong><\/a><span>\u00a0do sistema\u00a0<\/span><strong><span>permanece constante<\/span><\/strong><span>\u00a0(p = const).\u00a0A transfer\u00eancia de calor para dentro ou para fora do sistema funciona, mas tamb\u00e9m altera a energia interna do sistema.<\/span><\/p>\n<p><span>Como existem mudan\u00e7as na\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-energia-interna-energia-termica-definicao\/\"><span>energia interna<\/span><\/a><span>\u00a0(dU) e no volume do sistema (\u2206V), os engenheiros costumam usar a\u00a0<\/span><a title=\"O que \u00e9 entalpia\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><strong><span>entalpia<\/span><\/strong><\/a><span>\u00a0do sistema, que \u00e9 definida como:<\/span><\/p>\n<p><em><strong><span>H = U + pV<\/span><\/strong><\/em><\/p>\n<p><strong><span>Processo isob\u00e1rico e a primeira lei<\/span><\/strong><\/p>\n<p><span>A forma cl\u00e1ssica da\u00a0<\/span><a title=\"Primeira Lei da Termodin\u00e2mica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-primeira-lei-da-termodinamica-definicao\/\"><span>primeira lei da termodin\u00e2mica<\/span><\/a><span>\u00a0\u00e9 a seguinte equa\u00e7\u00e3o:<\/span><\/p>\n<p><strong><span>dU = dQ &#8211; dW<\/span><\/strong><\/p>\n<p><span>Nesta equa\u00e7\u00e3o, dW \u00e9 igual a\u00a0<\/span><strong><span>dW = pdV<\/span><\/strong><span>\u00a0e \u00e9 conhecido como\u00a0<\/span><a title=\"Trabalho p\u0394V - Trabalho de Fronteira e Trabalho 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>trabalho de fronteira<\/span><\/a><span>\u00a0.\u00a0Em um processo isob\u00e1rico e no g\u00e1s ideal,\u00a0<\/span><strong><span>parte do calor adicionado<\/span><\/strong><span>\u00a0ao sistema ser\u00e1 usada para\u00a0<\/span><strong><span>realizar o trabalho<\/span><\/strong><span>\u00a0e\u00a0<\/span><strong><span>parte do calor<\/span><\/strong><span>\u00a0adicionado aumentar\u00e1 a\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-energia-interna-energia-termica-definicao\/\"><strong><span>energia interna<\/span><\/strong><\/a><span>\u00a0(aumentar\u00e1 a temperatura).\u00a0Portanto, \u00e9 conveniente usar a\u00a0<\/span><strong><span>entalpia em<\/span><\/strong><span>\u00a0vez da energia interna.<\/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><\/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 sistema ou pelo mesmo.<\/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>Ciclo de Rankine &#8211; diagrama pV, Ts<\/span><\/h2>\n<figure id=\"attachment_17781\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17781\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram.png\"><img loading=\"lazy\" class=\"wp-image-17781 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram.png\" alt=\"Ciclo de Rankine - diagrama de Ts\" width=\"450\" height=\"415\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram.png\" \/><\/a><figcaption id=\"caption-attachment-17781\" class=\"wp-caption-text\"><span>Ciclo de Rankine &#8211; diagrama de Ts<\/span><\/figcaption><\/figure>\n<p><span>O\u00a0<\/span><strong><span>ciclo Rankine<\/span><\/strong><span>\u00a0\u00e9 frequentemente plotado em um diagrama de volume de press\u00e3o (\u00a0<\/span><strong><span>diagrama pV<\/span><\/strong><span>\u00a0) e em um diagrama de temperatura-entropia (\u00a0<\/span><strong><span>diagrama Ts<\/span><\/strong><span>\u00a0).<\/span><\/p>\n<p><span>Quando plotados em um\u00a0<\/span><strong><span>diagrama de volume de press\u00e3o<\/span><\/strong><span>\u00a0, os processos isob\u00e1ricos seguem as linhas isob\u00e1ricas do g\u00e1s (as linhas horizontais), os processos adiab\u00e1ticos se movem entre essas linhas horizontais e a \u00e1rea delimitada pelo caminho completo do ciclo representa o\u00a0<\/span><strong><span>trabalho total<\/span><\/strong><span>\u00a0que pode ser feito durante um ciclo.<\/span><\/p>\n<p><span>O\u00a0<\/span><strong><span>diagrama de temperatura-entropia<\/span><\/strong><span>\u00a0(\u00a0<strong>diagrama<\/strong>\u00a0Ts) no qual o estado termodin\u00e2mico \u00e9 especificado por um ponto em um gr\u00e1fico com\u00a0<\/span><a title=\"Entropia espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/specific-entropy\/\"><span>entropia<\/span><\/a><span>\u00a0(s)\u00a0<a title=\"Entropia espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/specific-entropy\/\">espec\u00edfica<\/a>\u00a0(s) como eixo horizontal e\u00a0<\/span><a title=\"Escala Kelvin - Temperatura Absoluta\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-temperature-physics\/kelvin-scale-absolute-temperature\/\"><span>temperatura absoluta<\/span><\/a><span>\u00a0(T) como eixo vertical.\u00a0Os diagramas Ts s\u00e3o uma ferramenta \u00fatil e comum, principalmente porque ajuda a visualizar a\u00a0<\/span><strong><span>transfer\u00eancia de calor<\/span><\/strong><span>\u00a0durante um processo.\u00a0Para processos revers\u00edveis (ideais), a \u00e1rea sob a curva Ts de um processo \u00e9 o\u00a0<\/span><strong><span>calor transferido<\/span><\/strong><span>\u00a0para o sistema durante esse processo.<\/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>Efici\u00eancia t\u00e9rmica do ciclo Rankine<\/span><\/h2>\n<p><span>Em geral, a\u00a0<a title=\"Efici\u00eancia t\u00e9rmica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-definicao\/\"><strong>efici\u00eancia t\u00e9rmica<\/strong><\/a><a title=\"Efici\u00eancia t\u00e9rmica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-definicao\/\">\u00a0,\u00a0<\/a><a title=\"Efici\u00eancia t\u00e9rmica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-definicao\/\"><strong><em>\u03b7\u00a0<\/em><\/strong><\/a><a title=\"Efici\u00eancia t\u00e9rmica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-eficiencia-termica-definicao\/\"><strong><em><sub>th<\/sub><\/em><\/strong><\/a>\u00a0, de qualquer motor de calor \u00e9 definida como a raz\u00e3o entre o\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-trabalho-em-termodinamica-definicao\/\">trabalho<\/a>\u00a0que faz,\u00a0<strong>W<\/strong>\u00a0, para o\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-calor-na-fisica-calor-definicao\/\">calor<\/a>\u00a0de entrada a uma temperatura elevada, 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=\"f\u00f3rmula de efici\u00eancia t\u00e9rmica - 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>A\u00a0<\/span><strong><span>efici\u00eancia t\u00e9rmica<\/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, representa a fra\u00e7\u00e3o de\u00a0<\/span><strong><span>calor<\/span><\/strong><span>\u00a0,\u00a0<\/span><strong><span>Q\u00a0<\/span><\/strong><strong><sub><span>H<\/span><\/sub><\/strong><span>\u00a0, que \u00e9 convertida\u00a0<\/span><strong><span>em trabalho<\/span><\/strong><span>\u00a0.\u00a0Como a energia \u00e9 conservada de acordo com a\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-primeira-lei-da-termodinamica-definicao\/\"><strong><span>primeira lei da termodin\u00e2mica<\/span><\/strong><\/a><span>\u00a0e a energia n\u00e3o pode ser convertida para funcionar completamente, a entrada de calor, Q\u00a0<\/span><sub><span>H<\/span><\/sub><span>\u00a0, deve ser igual ao trabalho realizado, W, mais o calor que deve ser dissipado como\u00a0<\/span><strong><span>calor residual Q\u00a0<\/span><\/strong><strong><sub><span>C<\/span><\/sub><\/strong><span>\u00a0no meio Ambiente.\u00a0Portanto, podemos reescrever a f\u00f3rmula da efici\u00eancia t\u00e9rmica como:<\/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=\"f\u00f3rmula de efici\u00eancia t\u00e9rmica - 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<p><span>Essa \u00e9 uma f\u00f3rmula muito \u00fatil, mas aqui expressamos a efici\u00eancia t\u00e9rmica usando a primeira lei em termos de\u00a0<\/span><a title=\"O que \u00e9 entalpia\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><span>entalpia<\/span><\/a><span>\u00a0.<\/span><\/p>\n<figure id=\"attachment_17781\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17781\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17781 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram-300x276.png\" alt=\"Ciclo de Rankine - diagrama de Ts\" width=\"300\" height=\"276\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-Ts-diagram-300x276.png\" \/><\/a><figcaption id=\"caption-attachment-17781\" class=\"wp-caption-text\"><span>Ciclo de Rankine &#8211; diagrama de Ts<\/span><\/figcaption><\/figure>\n<p><span>Normalmente, a maioria das\u00a0<\/span><strong><span>usinas nucleares<\/span><\/strong><span>\u00a0opera\u00a0<\/span><strong><span>turbinas a vapor de condensa\u00e7\u00e3o de v\u00e1rios est\u00e1gios<\/span><\/strong><span>\u00a0.\u00a0Nessas turbinas, o est\u00e1gio de alta press\u00e3o recebe\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-steam-propriedades-do-steam-definicao\/\"><span>vapor<\/span><\/a><span>\u00a0(esse vapor \u00e9 quase o vapor saturado &#8211; x = 0,995 &#8211; ponto C na figura;\u00a0<\/span><strong><span>6 MPa<\/span><\/strong><span>\u00a0; 275,6 \u00b0 C) de um gerador de vapor e o esgota no separador-reaquecedor de umidade (ponto D )\u00a0O vapor deve ser reaquecido para evitar danos que possam ser causados \u200b\u200b\u00e0s p\u00e1s da turbina a vapor por vapor de\u00a0<\/span><a title=\"Qualidade de Vapor - Fra\u00e7\u00e3o de Secura\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/materials-nuclear-engineering\/properties-steam-what-is-steam\/vapor-quality-dryness-fraction\/\"><span>baixa qualidade<\/span><\/a><span>\u00a0.\u00a0O reaquecedor aquece o vapor (ponto D) e, em seguida, o vapor \u00e9 direcionado para o est\u00e1gio de baixa press\u00e3o da turbina a vapor, onde se expande (pontos E a F).\u00a0O vapor exaurido condensa no condensador e est\u00e1 a uma press\u00e3o bem abaixo da atmosf\u00e9rica (press\u00e3o absoluta de<\/span><strong><span>0,008 MPa<\/span><\/strong><span>\u00a0) e est\u00e1 em um estado parcialmente condensado (ponto F), tipicamente com uma qualidade pr\u00f3xima a 90%.<\/span><\/p>\n<p><span>Nesse caso, geradores de vapor, turbinas a vapor, condensadores e bombas de \u00e1gua de alimenta\u00e7\u00e3o constituem um motor t\u00e9rmico, sujeito \u00e0s limita\u00e7\u00f5es de efici\u00eancia impostas pela\u00a0<a title=\"Segunda Lei da Termodin\u00e2mica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-segunda-lei-da-termodinamica-definicao\/\"><strong>segunda lei da termodin\u00e2mica<\/strong><\/a>\u00a0.\u00a0No caso ideal (sem atrito, processos revers\u00edveis, design perfeito), este motor t\u00e9rmico teria uma\u00a0<a title=\"Efici\u00eancia de Carnot - Efici\u00eancia do mecanismo de calor de Carnot\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnot-efficiency-efficiency-of-carnot-heat-engine\/\">efici\u00eancia<\/a>\u00a0de\u00a0<a title=\"Efici\u00eancia de Carnot - Efici\u00eancia do mecanismo de calor de Carnot\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnot-efficiency-efficiency-of-carnot-heat-engine\/\">Carnot<\/a>\u00a0de<\/span><\/p>\n<p><span>= 1 &#8211; T\u00a0<\/span><sub><span>frio<\/span><\/sub><span>\u00a0\/ T\u00a0<\/span><sub><span>quente<\/span><\/sub><span>\u00a0= 1 &#8211; 315\/549 = 42,6%<\/span><\/p>\n<p><span>onde a temperatura do reservat\u00f3rio quente \u00e9 de 275,6 \u00b0 C (548,7 K), a temperatura do reservat\u00f3rio frio \u00e9 de 41,5 \u00b0 C (314,7 K).\u00a0Mas a usina nuclear \u00e9 o\u00a0<\/span><strong><span>verdadeiro motor t\u00e9rmico<\/span><\/strong><span>\u00a0, no qual os processos termodin\u00e2micos s\u00e3o de alguma forma irrevers\u00edveis.\u00a0Eles n\u00e3o s\u00e3o feitos infinitamente devagar.\u00a0Em dispositivos reais (como turbinas, bombas e compressores), um atrito mec\u00e2nico e perdas de calor causam mais perdas de efici\u00eancia.<\/span><\/p>\n<p><span>Para calcular a\u00a0<\/span><strong><span>efici\u00eancia t\u00e9rmica<\/span><\/strong><span>\u00a0do\u00a0<\/span><strong><span>ciclo Rankine<\/span><\/strong><span>\u00a0mais simples\u00a0(sem reaquecer), os engenheiros usam a\u00a0<\/span><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\/\"><strong><span>primeira lei da termodin\u00e2mica em termos de entalpia<\/span><\/strong><\/a><span>\u00a0e n\u00e3o em energia interna.<\/span><\/p>\n<p><span>A primeira lei em termos de entalpia \u00e9:<\/span><\/p>\n<p><em><strong><span>dH = dQ + Vdp<\/span><\/strong><\/em><\/p>\n<p><span>Nesta equa\u00e7\u00e3o, o termo\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0\u00e9 um\u00a0<\/span><strong><span>trabalho de processo de fluxo.\u00a0<\/span><\/strong><span>Este trabalho, \u00a0\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0, \u00e9 usado para\u00a0<\/span><strong><span>sistemas de fluxo aberto<\/span><\/strong><span>\u00a0como uma\u00a0<\/span><strong><span>turbina<\/span><\/strong><span>\u00a0ou uma\u00a0<\/span><strong><span>bomba<\/span><\/strong><span>\u00a0na qual existe um\u00a0<\/span><strong><span>&#8220;dp&#8221;<\/span><\/strong><span>\u00a0, ou seja, mudan\u00e7a de press\u00e3o.\u00a0N\u00e3o h\u00e1 altera\u00e7\u00f5es no\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/control-volume-control-volume-analysis\/\"><span>volume de controle<\/span><\/a><span>\u00a0.\u00a0Como pode ser visto, essa forma de lei\u00a0<\/span><strong><span>simplifica a descri\u00e7\u00e3o da transfer\u00eancia de energia<\/span><\/strong><span>\u00a0.\u00a0<\/span><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><\/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><\/p>\n<p><span>\u00c9 \u00f3bvio que ser\u00e1 muito \u00fatil na an\u00e1lise de ambos os ciclos termodin\u00e2micos usados \u200b\u200bna engenharia de energia, ou seja, no ciclo de Brayton e no ciclo de Rankine.<\/span><\/p>\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.\u00a0Ele \u00e9 tabulado nas\u00a0<\/span><a title=\"Tabelas de Vapor - Propriedades Espec\u00edficas da \u00c1gua e Vapor\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/steam-tables\/\"><strong><span>tabelas de vapor,<\/span><\/strong><\/a><span>\u00a0juntamente com o\u00a0<\/span><a title=\"O que \u00e9 volume espec\u00edfico\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-specific-volume\/\"><span>volume\u00a0<\/span><\/a><a title=\"Energia interna espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/internal-energy-thermal-energy\/specific-internal-energy\/\"><span>espec\u00edfico<\/span><\/a><span>\u00a0e\u00a0<a title=\"Energia interna espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/internal-energy-thermal-energy\/specific-internal-energy\/\">a energia interna espec\u00edfica<\/a>\u00a0.\u00a0A efici\u00eancia t\u00e9rmica desse ciclo simples de Rankine e em termos de entalpias espec\u00edficas seria:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-rankine-cycle-equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-16962 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-rankine-cycle-equation.png\" alt=\"efici\u00eancia t\u00e9rmica do ciclo Rankine\" width=\"535\" height=\"68\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-rankine-cycle-equation.png\" \/><\/a><\/p>\n<p><span>\u00c9 uma equa\u00e7\u00e3o muito simples e, para determinar a efici\u00eancia t\u00e9rmica, voc\u00ea pode usar os dados das\u00a0<\/span><strong><span>tabelas de vapor<\/span><\/strong><span>\u00a0.<\/span><\/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=\"wp-image-16961 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-engines-turbines-min.png\" alt=\"Takaishi, Tatsuo;  Numata, Akira;  Nakano, Ryouji;  Sakaguchi, Katsuhiko (mar\u00e7o de 2008).\" width=\"452\" height=\"334\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-engines-turbines-min.png\" \/><\/a><figcaption id=\"caption-attachment-16961\" class=\"wp-caption-text\"><span>Takaishi, Tatsuo;\u00a0Numata, Akira;\u00a0Nakano, Ryouji;\u00a0Sakaguchi, Katsuhiko (mar\u00e7o de 2008).\u00a0\u201cAbordagem para motores a diesel e g\u00e1s de alta efici\u00eancia\u201d (PDF).\u00a0Revis\u00e3o t\u00e9cnica Mitsubishi Heavy Industries.\u00a045 (1).\u00a0P\u00e1gina visitada em 2011-02-04.<\/span><\/figcaption><\/figure>\n<p><span>Nas modernas usinas nucleares, a efici\u00eancia t\u00e9rmica geral \u00e9 de cerca de\u00a0<\/span><strong><span>um ter\u00e7o<\/span><\/strong><span>\u00a0(33%); portanto, s\u00e3o necess\u00e1rios\u00a0<\/span><strong><span>3000 MWth<\/span><\/strong><span>\u00a0de energia t\u00e9rmica da rea\u00e7\u00e3o de fiss\u00e3o para gerar\u00a0<\/span><strong><span>1000 MWe<\/span><\/strong><span>\u00a0de energia el\u00e9trica.\u00a0O motivo est\u00e1 na temperatura do vapor relativamente baixa (\u00a0<\/span><strong><span>6 MPa<\/span><\/strong><span>\u00a0; 275,6 \u00b0 C).\u00a0Efici\u00eancias mais altas podem ser alcan\u00e7adas aumentando a\u00a0<\/span><strong><span>temperatura<\/span><\/strong><span>do vapor.\u00a0Mas isso requer um aumento nas press\u00f5es dentro de caldeiras ou geradores de vapor.\u00a0No entanto, considera\u00e7\u00f5es metal\u00fargicas imp\u00f5em limites superiores a essas press\u00f5es.\u00a0Em compara\u00e7\u00e3o com outras fontes de energia, a efici\u00eancia t\u00e9rmica de 33% n\u00e3o \u00e9 grande.\u00a0Mas deve-se notar que as usinas nucleares s\u00e3o muito mais complexas que as usinas de combust\u00edveis f\u00f3sseis e \u00e9 muito mais f\u00e1cil queimar combust\u00edveis f\u00f3sseis do que gerar energia a partir de combust\u00edveis nucleares.\u00a0As usinas subcr\u00edticas de combust\u00edveis f\u00f3sseis, que s\u00e3o operadas sob\u00a0<\/span><a title=\"Press\u00e3o cr\u00edtica da \u00e1gua\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/critical-pressure-of-water\/\"><strong><span>press\u00e3o cr\u00edtica<\/span><\/strong>\u00a0<\/a><span>(ou seja, inferiores a 22,1 MPa), podem atingir uma efici\u00eancia de 36 a 40%.<\/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>Causas de inefici\u00eancia<\/span><\/h2>\n<p><span>Como foi discutido, uma efici\u00eancia pode variar entre 0 e 1. Cada mecanismo t\u00e9rmico \u00e9 de alguma forma ineficiente.\u00a0Essa inefici\u00eancia pode ser atribu\u00edda a tr\u00eas causas.<\/span><\/p>\n<ul>\n<li><strong><span>Irreversibilidade de processos<\/span><\/strong><span>\u00a0.\u00a0Existe um limite superior te\u00f3rico geral para a efici\u00eancia da convers\u00e3o de calor em trabalho em qualquer motor t\u00e9rmico.\u00a0Esse limite superior \u00e9 chamado de\u00a0<\/span><strong><span>efici\u00eancia de Carnot<\/span><\/strong><span>\u00a0.\u00a0De acordo com o\u00a0<\/span><strong><span>princ\u00edpio Carnot<\/span><\/strong><span>\u00a0, nenhum motor pode ser mais eficiente que um motor revers\u00edvel (\u00a0<\/span><strong><span>um motor t\u00e9rmico Carnot<\/span><\/strong><span>\u00a0) operando entre os mesmos reservat\u00f3rios de alta temperatura e baixa temperatura.\u00a0Por exemplo, quando o reservat\u00f3rio quente tiver T\u00a0<\/span><sub><span>quente<\/span><\/sub><span>\u00a0de 400 \u00b0 C (673K) e T\u00a0<\/span><sub><span>frio<\/span><\/sub><span>\u00a0de cerca de 20 \u00b0 C (293K), a efici\u00eancia m\u00e1xima (ideal) ser\u00e1: = 1 &#8211; T\u00a0<\/span><sub><span>frio<\/span><\/sub><span>\u00a0\/ T\u00a0<\/span><sub><span>quente<\/span><\/sub><span>\u00a0= 1 &#8211; 293 \/ 673 = 56%.\u00a0Mas todos os processos termodin\u00e2micos reais s\u00e3o de alguma forma\u00a0<\/span><strong><span>irrevers\u00edveis<\/span><\/strong><span>.\u00a0Eles n\u00e3o s\u00e3o feitos infinitamente devagar.\u00a0Portanto, os motores t\u00e9rmicos devem ter efici\u00eancias mais baixas do que os limites de efici\u00eancia devido \u00e0 irreversibilidade inerente ao ciclo dos motores t\u00e9rmicos que utilizam.<\/span><\/li>\n<li><strong><span>Presen\u00e7a de fric\u00e7\u00e3o e perdas de calor.\u00a0<\/span><\/strong><span>Em sistemas termodin\u00e2micos reais ou em motores t\u00e9rmicos reais, uma parte da inefici\u00eancia geral do ciclo \u00e9 devida \u00e0s perdas dos componentes individuais.\u00a0Em dispositivos reais (como turbinas, bombas e compressores), um\u00a0<\/span><strong><span>atrito mec\u00e2nico<\/span><\/strong><span>\u00a0,\u00a0<\/span><strong><span>perdas de calor<\/span><\/strong><span>\u00a0e perdas no processo de combust\u00e3o causam mais perdas de efici\u00eancia.<\/span><\/li>\n<li><strong><span>Inefici\u00eancia do projeto<\/span><\/strong><span>\u00a0.\u00a0Finalmente, a \u00faltima e tamb\u00e9m importante fonte de inefici\u00eancias prov\u00e9m dos\u00a0<\/span><strong><span>compromissos<\/span><\/strong><span>\u00a0assumidos pelos\u00a0<\/span><strong><span>engenheiros<\/span><\/strong><span>\u00a0ao projetar um motor t\u00e9rmico (por exemplo, usina).\u00a0Eles devem considerar o custo e outros fatores no design e opera\u00e7\u00e3o do ciclo.\u00a0Como exemplo, considere um projeto do\u00a0<\/span><strong><span>condensador<\/span><\/strong><span>\u00a0nas usinas termel\u00e9tricas.\u00a0Idealmente, o vapor descarregado no condensador n\u00e3o teria\u00a0<\/span><strong><span>sub-resfriamento<\/span><\/strong><span>\u00a0.\u00a0Mas os condensadores reais s\u00e3o projetados para sub-resfriar o l\u00edquido em alguns graus Celsius, a fim de evitar a\u00a0<\/span><a title=\"Cavita\u00e7\u00e3o por suc\u00e7\u00e3o\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/centrifugal-pumps\/cavitation\/suction-cavitation\/\"><strong><span>cavita\u00e7\u00e3o de suc\u00e7\u00e3o<\/span><\/strong><\/a><span>\u00a0nas bombas de condensado.\u00a0Por\u00e9m, esse sub-resfriamento aumenta a inefici\u00eancia do ciclo, porque \u00e9 necess\u00e1ria mais energia para reaquecer a \u00e1gua.<\/span><\/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>Melhoria da efici\u00eancia t\u00e9rmica &#8211; ciclo Rankine<\/span><\/h2>\n<p><span>Existem v\u00e1rios m\u00e9todos, como pode ser melhorada a efici\u00eancia t\u00e9rmica do ciclo Rankine.\u00a0Assumindo que a temperatura m\u00e1xima seja limitada pela press\u00e3o dentro do vaso de press\u00e3o do reator, esses m\u00e9todos s\u00e3o:<\/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<ul>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span>Press\u00f5es de caldeira e condensador<\/span><\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">Superaquecimento e reaquecimento<\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">Regenera\u00e7\u00e3o de calor<\/li>\n<li class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\">Ciclo Rankine supercr\u00edtico<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-spoiler su-spoiler-style-default su-spoiler-icon-plus su-spoiler-closed\">\n<div class=\"su-spoiler-content su-clearfix\"><\/div>\n<\/div>\n<\/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<h2><span>Efici\u00eancia isentr\u00f3pica &#8211; turbina, bomba<\/span><\/h2>\n<p><span>Nos cap\u00edtulos anteriores assumiu-se que a expans\u00e3o do vapor \u00e9 isentr\u00f3pica e, portanto, utilizou-se o t\u00a0<\/span><sub><span>4, \u00e9<\/span><\/sub><span>\u00a0\u00a0como a temperatura de sa\u00edda do g\u00e1s.\u00a0Essas premissas s\u00e3o aplic\u00e1veis \u200b\u200bapenas aos ciclos ideais.<\/span><\/p>\n<p><span>A maioria dos dispositivos de fluxo constante (turbinas, compressores, bicos) opera em condi\u00e7\u00f5es adiab\u00e1ticas, mas n\u00e3o s\u00e3o verdadeiramente isentr\u00f3picos, mas s\u00e3o idealizados como isentr\u00f3picos para fins de c\u00e1lculo.\u00a0Definimos os par\u00e2metros\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>P<\/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>\u00a0como uma raz\u00e3o entre o trabalho real realizado pelo dispositivo e o trabalho por dispositivo quando operado em condi\u00e7\u00f5es isentr\u00f3picas (no caso de turbinas).\u00a0Essa rela\u00e7\u00e3o \u00e9 conhecida como\u00a0<\/span><a title=\"Efici\u00eancia isentr\u00f3pica - Turbina \/ Compressor \/ Bocal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-processes\/isentropic-process\/isentropic-efficiency-turbinecompressornozzle\/\"><strong><span>Efici\u00eancia de turbina isentr\u00f3pica \/ bomba \/ bico<\/span><\/strong><\/a><span>\u00a0.\u00a0Esses par\u00e2metros descrevem com que efici\u00eancia uma turbina, compressor ou bico se aproxima de um dispositivo isentr\u00f3pico correspondente.\u00a0Este par\u00e2metro reduz a efici\u00eancia geral e a produ\u00e7\u00e3o do trabalho.\u00a0Para turbinas, o valor de\u00a0<\/span><strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>T<\/span><\/sub><\/em><\/strong><span>\u00a0\u00e9 tipicamente de 0,7 a 0,9 (70-90%).<\/span><\/p>\n<p><span>Veja tamb\u00e9m:\u00a0<\/span><a title=\"Processo isentr\u00f3pico\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-isentropico-definicao\/\"><span>Processo isentr\u00f3pico<\/span><\/a><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-turbine-pump.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17790 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-turbine-pump.png\" alt=\"Efici\u00eancia isentr\u00f3pica - turbina - bomba\" width=\"567\" height=\"365\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Isentropic-Efficiency-turbine-pump.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=\"Compress\u00e3o isentr\u00f3pica vs. adiab\u00e1tica\" 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=\"Expans\u00e3o isentr\u00f3pica vs. adiab\u00e1tica\" 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>O processo isentr\u00f3pico \u00e9 um caso especial de processos adiab\u00e1ticos.\u00a0\u00c9 um processo adiab\u00e1tico revers\u00edvel.\u00a0Um processo isentr\u00f3pico tamb\u00e9m pode ser chamado de processo de entropia constante.<\/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>Ciclo de Rankine &#8211; Problema com Solu\u00e7\u00e3o<\/span><\/h2>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\"><img loading=\"lazy\" class=\"alignright size-full wp-image-17771 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\" alt=\"Ciclo Rankine\" width=\"300\" height=\"450\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-Cycle-scheme.png\" \/><\/a><span>Vamos assumir o\u00a0<\/span><strong><span>ciclo Rankine<\/span><\/strong><span>\u00a0, que \u00e9 um dos\u00a0<\/span><strong><span>ciclos termodin\u00e2micos<\/span><\/strong><span>\u00a0mais comuns\u00a0em usinas termel\u00e9tricas.\u00a0Nesse caso, assuma um ciclo simples, sem reaquecimento e sem a turbina a vapor de condensa\u00e7\u00e3o funcionando com\u00a0<\/span><a title=\"Vapor seco\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/materials-nuclear-engineering\/properties-steam-what-is-steam\/dry-steam\/\"><span>vapor saturado<\/span><\/a><span>\u00a0\u00a0(vapor seco).\u00a0Nesse caso, a turbina opera em estado estacion\u00e1rio com condi\u00e7\u00f5es de entrada de 6 MPa, t = 275,6 \u00b0 C, x = 1 (ponto 3).\u00a0O vapor sai deste est\u00e1gio da turbina a uma press\u00e3o de 0,008 MPa, 41,5 \u00b0 C e x = ???\u00a0(ponto 4)<\/span><\/p>\n<p><span>Calcular:<\/span><\/p>\n<ol>\n<li><span>a qualidade do vapor do vapor de sa\u00edda<\/span><\/li>\n<li><span>a diferen\u00e7a de entalpia entre estes dois estados (3 \u2192 4), a qual corresponde ao trabalho realizado pelo vapor, W\u00a0<\/span><sub><span>t<\/span><\/sub><span>\u00a0.<\/span><\/li>\n<li><span>a diferen\u00e7a de entalpia entre estes dois estados (1 \u2192 2), que corresponde ao trabalho feito por bombas, W\u00a0<\/span><sub><span>P<\/span><\/sub><span>\u00a0.<\/span><\/li>\n<li><span>a diferen\u00e7a de entalpia entre esses dois estados (2 \u2192 3), que corresponde ao calor l\u00edquido adicionado no gerador de vapor<\/span><\/li>\n<li><span>a efici\u00eancia termodin\u00e2mica deste ciclo e compare esse valor com a efici\u00eancia de Carnot<\/span><\/li>\n<\/ol>\n<p><span>1)<\/span><\/p>\n<p><span>Como n\u00e3o sabemos a qualidade exata do vapor de sa\u00edda, precisamos determinar esse par\u00e2metro.\u00a0O estado 4 \u00e9 fixado pela press\u00e3o\u00a0<\/span><strong><span>p\u00a0<\/span><sub><span>4<\/span><\/sub><span>\u00a0= 0,008 MPa<\/span><\/strong><span>\u00a0e o fato de que a\u00a0<\/span><a title=\"Entropia espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-entropy\/specific-entropy\/\"><span>entropia espec\u00edfica<\/span><\/a><span>\u00a0\u00e9 constante para a expans\u00e3o isentr\u00f3pica (s\u00a0<\/span><sub><span>3<\/span><\/sub><span>\u00a0= s\u00a0<\/span><sub><span>4<\/span><\/sub><span>\u00a0= 5,89\u00a0<\/span><em><span>kJ \/ kgK para 6 MPa<\/span><\/em><span>\u00a0).\u00a0A entropia espec\u00edfica da \u00e1gua l\u00edquida saturada (x = 0) e do vapor seco (x = 1) pode ser selecionada nas\u00a0<\/span><a title=\"Tabelas de Vapor - Propriedades Espec\u00edficas da \u00c1gua e Vapor\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/steam-tables\/\"><span>tabelas de vapor<\/span><\/a><span>\u00a0.\u00a0No caso de vapor \u00famido, a entropia real pode ser calculada com a qualidade do vapor,\u00a0<\/span><em><span>x,<\/span><\/em><span>\u00a0e as entropias espec\u00edficas de \u00e1gua l\u00edquida saturada e vapor seco:<\/span><\/p>\n<p><em><span>s\u00a0<\/span><\/em><em><sub><span>4<\/span><\/sub><\/em><em><span>\u00a0= s\u00a0<\/span><\/em><em><sub><span>v<\/span><\/sub><\/em><em><span>\u00a0x + (1 &#8211; x) s\u00a0<\/span><\/em><em><sub><span>l<\/span><\/sub><\/em><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/em><\/p>\n<p><em><span>Onde<\/span><\/em><\/p>\n<p><em><span>s\u00a0<\/span><\/em><em><sub><span>4<\/span><\/sub><\/em><em><span>\u00a0= entropia de vapor \u00famido (J \/ kg K) =<\/span><\/em><span>\u00a05,89\u00a0<\/span><em><span>kJ \/ kgK<\/span><\/em><\/p>\n<p><em><span>s\u00a0<\/span><\/em><em><sub><span>v<\/span><\/sub><\/em><em><span>\u00a0= entropia do vapor &#8220;seco&#8221; (J \/ kg K) = 8,227 kJ \/ kgK (para 0,008 MPa)<\/span><\/em><\/p>\n<p><em><span>s\u00a0<\/span><\/em><em><sub><span>l<\/span><\/sub><\/em><em><span>\u00a0= entropia de \u00e1gua l\u00edquida saturada (J \/ kg K) = 0,592 kJ \/ kgK (para 0,008 MPa)<\/span><\/em><\/p>\n<p><span>A partir desta equa\u00e7\u00e3o, a qualidade do vapor \u00e9:<\/span><\/p>\n<p><span>x\u00a0<\/span><sub><span>4<\/span><\/sub><span>\u00a0= (\u00a0<\/span><em><span>s\u00a0<\/span><\/em><em><sub><span>4<\/span><\/sub><\/em><em><span>\u00a0&#8211; s\u00a0<\/span><\/em><em><sub><span>l<\/span><\/sub><\/em><span>\u00a0) \/ (\u00a0<\/span><em><span>s\u00a0<\/span><\/em><em><sub><span>v<\/span><\/sub><\/em><em><span>\u00a0&#8211; s\u00a0<\/span><\/em><em><sub><span>l<\/span><\/sub><\/em><span>\u00a0) = (5,89 &#8211; 0,592) \/ (8,227 &#8211; 0,592) = 0,694 = 69,4%<\/span><\/p>\n<p><span>2)<\/span><\/p>\n<p><span>A entalpia para o estado 3 pode ser coletada diretamente das tabelas de vapor, enquanto a entalpia para o estado 4 deve ser calculada usando a qualidade do vapor:<\/span><\/p>\n<p><em><span>h\u00a0<\/span><\/em><em><sub><span>3, v<\/span><\/sub><\/em><em><span>\u00a0=<\/span><\/em><span>\u00a02785 kJ \/ kg<\/span><\/p>\n<p><em><span>h\u00a0<\/span><\/em><em><sub><span>4, molhado<\/span><\/sub><\/em><em><span>\u00a0= h\u00a0<\/span><\/em><em><sub><span>4, v<\/span><\/sub><\/em><em><span>\u00a0x + (1 &#8211; x) h\u00a0<\/span><\/em><em><sub><span>4, l<\/span><\/sub><\/em><span>\u00a0\u00a0= 2576.\u00a00,694 + (1 &#8211; 0,694).\u00a0174 = 1787 + 53,2 = 1840 kJ \/ kg<\/span><\/p>\n<p><span>Ent\u00e3o o trabalho realizado pelo vapor, W\u00a0<\/span><sub><span>T,<\/span><\/sub><span>\u00a0\u00e9<\/span><\/p>\n<p><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>T<\/span><\/sub><\/strong><span>\u00a0= \u0394h =\u00a0<\/span><strong><span>945 kJ \/ kg<\/span><\/strong><\/p>\n<p><strong><span>3)<\/span><\/strong><\/p>\n<p><span>A entalpia para o estado 1 pode ser obtida diretamente das tabelas de vapor:<\/span><\/p>\n<p><em><span>h\u00a0<\/span><\/em><em><sub><span>1, l<\/span><\/sub><\/em><em><span>\u00a0=<\/span><\/em><span>\u00a0174 kJ \/ kg<\/span><\/p>\n<p><span>O estado 2 \u00e9 fixado pela press\u00e3o p\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0= 6,0 MPa e pelo fato de a entropia espec\u00edfica ser constante para a compress\u00e3o isentr\u00f3pica (s\u00a0<\/span><sub><span>1<\/span><\/sub><span>\u00a0= s\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0= 0,592\u00a0<\/span><em><span>kJ \/ kgK para 0,008 MPa<\/span><\/em><span>\u00a0).\u00a0Para esta entropia s\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0=\u00a0<\/span><strong><span>0,592\u00a0<\/span><em><span>kJ \/ kgK<\/span><\/em><\/strong><span>\u00a0ep\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0= 6,0 MPa, encontramos\u00a0<\/span><strong><em><span>h\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2, sub-resfriado<\/span><\/sub><\/em><\/strong><span>\u00a0em tabelas de vapor para \u00e1gua comprimida (usando interpola\u00e7\u00e3o entre dois estados).<\/span><\/p>\n<p><strong><em><span>h\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2, sub-resfriado<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0=<\/span><\/em><\/strong><strong><span>\u00a0179,7 kJ \/ kg<\/span><\/strong><\/p>\n<p><span>Ent\u00e3o, o trabalho realizado pelas bombas, W\u00a0<\/span><sub><span>P,<\/span><\/sub><span>\u00a0\u00e9<\/span><\/p>\n<p><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>P<\/span><\/sub><\/strong><span>\u00a0= \u0394h =\u00a0<\/span><strong><span>5,7 kJ \/ kg<\/span><\/strong><\/p>\n<p><span>4)<\/span><\/p>\n<p><span>A diferen\u00e7a de entalpia entre (2 \u2192 3), que corresponde ao calor l\u00edquido adicionado no gerador de vapor, \u00e9 simplesmente:<\/span><\/p>\n<p><strong><em><span>Q\u00a0<\/span><\/em><\/strong><strong><em><sub><span>add<\/span><\/sub><\/em><\/strong><em><span>\u00a0= h\u00a0<\/span><\/em><em><sub><span>3, v<\/span><\/sub><\/em><em><span>\u00a0\u00a0&#8211; h\u00a0<\/span><\/em><em><sub><span>2, sub-resfriado<\/span><\/sub><\/em><em><span>\u00a0= 2785 &#8211; 179,7 = \u00a0\u00a0<\/span><strong><span>2605,3 kJ \/ kg<\/span><\/strong><\/em><\/p>\n<p><span>Observe que, n\u00e3o h\u00e1 regenera\u00e7\u00e3o de calor neste ciclo.\u00a0Por outro lado, a maior parte do calor adicionado \u00e9 para a entalpia da vaporiza\u00e7\u00e3o (isto \u00e9, para a mudan\u00e7a de fase).<\/span><\/p>\n<p><span>5)<\/span><\/p>\n<p><span>Nesse caso, geradores de vapor, turbinas a vapor, condensadores e bombas de \u00e1gua de alimenta\u00e7\u00e3o constituem um motor t\u00e9rmico, sujeito \u00e0s limita\u00e7\u00f5es de efici\u00eancia impostas pela\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-segunda-lei-da-termodinamica-definicao\/\"><strong>segunda lei da termodin\u00e2mica<\/strong><\/a>\u00a0.\u00a0No caso ideal (sem atrito, processos revers\u00edveis, design perfeito), esse motor t\u00e9rmico teria uma\u00a0<a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnot-efficiency-efficiency-of-carnot-heat-engine\/\">efici\u00eancia<\/a>\u00a0de\u00a0<a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnot-efficiency-efficiency-of-carnot-heat-engine\/\">Carnot<\/a>\u00a0de<\/span><\/p>\n<p><strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>Carnot<\/span><\/sub><\/em><\/strong><span>\u00a0= 1 &#8211; T<\/span><sub><span>\u00a0frio<\/span><\/sub><span>\u00a0\/ T<\/span><sub><span>\u00a0quente<\/span><\/sub><span>\u00a0= 1 &#8211; 315\/549 =<\/span><strong><span>\u00a042,6%<\/span><\/strong><\/p>\n<p><span>onde a temperatura do reservat\u00f3rio quente \u00e9 de 275,6 \u00b0 C (548,7 K), a temperatura do reservat\u00f3rio frio \u00e9 de 41,5 \u00b0 C (314,7 K).<\/span><\/p>\n<p><span>A efici\u00eancia termodin\u00e2mica deste ciclo pode ser calculada pela seguinte f\u00f3rmula:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-cycle-example-thermal-efficiency.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17792 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-cycle-example-thermal-efficiency.png\" alt=\"Ciclo de Rankine - exemplo - efici\u00eancia t\u00e9rmica\" width=\"159\" height=\"76\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Rankine-cycle-example-thermal-efficiency.png\" \/><\/a><\/p>\n<p><span>assim<\/span><br \/>\n<strong><em><span>\u03b7\u00a0<\/span><\/em><\/strong><strong><em><sub><span>th<\/span><\/sub><\/em><\/strong><span>\u00a0= (945 &#8211; 5,7) \/ 2605,3 = 0,361 =\u00a0<\/span><strong><span>36,1%<\/span><\/strong><\/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=\"su-spoiler-content su-clearfix\">\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<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>O ciclo Rankine descreve o desempenho dos sistemas de turbinas a vapor.\u00a0Hoje, o ciclo Rankine \u00e9 o ciclo operacional fundamental de todas as usinas termel\u00e9tricas.\u00a0Engenharia T\u00e9rmica Ciclo Rankine &#8211; Ciclo da turbina a vapor Em 1859, um engenheiro escoc\u00eas,\u00a0William John Macquorn Rankine,\u00a0avan\u00e7ou no estudo de motores t\u00e9rmicos publicando o &#8221;\u00a0Manual do motor a vapor e &#8230; <a title=\"O que \u00e9 o Ciclo Rankine &#8211; Ciclo da Turbina a Vapor &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-ciclo-rankine-ciclo-da-turbina-a-vapor-definicao\/\" aria-label=\"More on O que \u00e9 o Ciclo Rankine &#8211; Ciclo da Turbina a Vapor &#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 o Ciclo Rankine - Ciclo da Turbina a Vapor - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"O ciclo Rankine descreve o desempenho dos sistemas de turbinas a vapor. 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