{"id":23902,"date":"2021-01-08T10:45:06","date_gmt":"2021-01-08T13:45:06","guid":{"rendered":"https:\/\/www.antonioguilherme.web.br.com\/blog\/?page_id=23902"},"modified":"2023-07-16T13:21:21","modified_gmt":"2023-07-16T16:21:21","slug":"geracao-a-vapor","status":"publish","type":"page","link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/","title":{"rendered":"Gera\u00e7\u00e3o de Energia a Vapor"},"content":{"rendered":"<p class=\"b-qt qt_745765\" style=\"text-align: right;\"><strong><em><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">&#8220;A Primeira Revolu\u00e7\u00e3o Industrial usou \u00e1gua e vapor para mecanizar a produ\u00e7\u00e3o. A Segunda utilizou energia el\u00e9trica para criar a produ\u00e7\u00e3o em massa. A Terceira empregou a eletr\u00f4nica e tecnologia da informa\u00e7\u00e3o para automatizar a produ\u00e7\u00e3o.&#8221;<\/span><\/em><\/strong><\/p>\n<p class=\"bq_fq_a\" style=\"text-align: right;\"><a class=\"qa_745765 oncl_a\" href=\"https:\/\/www.brainyquote.com\/authors\/klaus-schwab-quotes\" target=\"_blank\" rel=\"noopener\">Klaus Schwab<\/a><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">A aplica\u00e7\u00e3o do vapor como for\u00e7a motriz se tornou realidade a partir dos trabalhos de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Thomas_Savery\" target=\"_blank\" rel=\"noopener\">Thomas Savery<\/a> em 1698, e deu origem \u00e0 gera\u00e7\u00e3o de energia a vapor. Estes trabalhos resultaram no <a href=\"https:\/\/en.wikipedia.org\/wiki\/Steam_engine\" target=\"_blank\" rel=\"noopener\"><strong>motor alternativo<\/strong>\u00a0<strong>a vapor<\/strong><\/a> que originou a revolu\u00e7\u00e3o industrial, as ferrovias, os navios a vapor e a gera\u00e7\u00e3o de energia el\u00e9trica.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">As primeiras <a href=\"https:\/\/en.wikipedia.org\/wiki\/Thermal_power_station\" target=\"_blank\" rel=\"noopener\">usinas termel\u00e9tricas<\/a> surgiram em 1882 em Nova Iorque<span id='easy-footnote-1-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-1-23902\" title=\" Pearl Street Sation\"><sup>1<\/sup><\/a><\/span> e em Londres<span id='easy-footnote-2-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-2-23902\" title=\"Holborn Viaduct\"><sup>2<\/sup><\/a><\/span> utilizando motores alternativos a vapor. Em 1901 entrou em opera\u00e7\u00e3o a maior usina constru\u00edda com esses motores para a Manhattan Elevated Railway. Essa usina possu\u00eda 17 motores de 500 toneladas cada um e capacidade total de 6 MW.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">O desenvolvimento da turbina a vapor demorou, mas, uma vez iniciado, foi r\u00e1pido. <\/span><span style=\"font-family: verdana, geneva, sans-serif;\">Entre o final do s\u00e9culo XVIII e o s\u00e9culo XIX, diversos pesquisadores trabalharam em paralelo e mais de 100 patentes surgiram entre 1880 e 1883. <\/span><span style=\"font-family: verdana, geneva, sans-serif;\">As primeiras turbinas a vapor foram constru\u00eddas por <a href=\"https:\/\/en.wikipedia.org\/wiki\/Gustaf_de_Laval\" target=\"_blank\" rel=\"noopener\">Carl Gustav de Laval<\/a>, do tipo impulso, e\u00a0<a href=\"https:\/\/en.wikipedia.org\/wiki\/Charles_Algernon_Parsons\" target=\"_blank\" rel=\"noopener\">Charles Parsons<\/a>, do tipo rea\u00e7\u00e3o, e esta tecnologia dominou a gera\u00e7\u00e3o termel\u00e9trica a partir de 1905. <\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Por exemplo, uma usina de mesma pot\u00eancia com turbinas a vapor pesaria apenas 20% do peso da usina Manhattan Elevated Railway.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Portanto, a rela\u00e7\u00e3o Peso\/Pot\u00eancia tornou-se um \u00edndice importante de avalia\u00e7\u00e3o de m\u00e1quinas. M\u00e1quinas de igual pot\u00eancia, mas mais pesadas, desaparecem do mercado se a efici\u00eancia for igual.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">A Figura 1 mostra uma termel\u00e9trica a carv\u00e3o constru\u00edda na Alemanha no final do s\u00e9culo XX. Observa-se que diversos controles ambientais, tais como esteiras transportadoras cobertas, foram utilizados.<\/span><\/p>\n<figure style=\"width: 869px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/Usina_Schwarze%20Pumpe.png\" alt=\"\" width=\"869\" height=\"624\" \/><figcaption class=\"wp-caption-text\">Figura 1. Usina Schwarze Pumpe<\/figcaption><\/figure>\n<hr \/>\n<p style=\"text-align: center;\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\"><strong>Schwarze Pumpe<\/strong><\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Location:\u00a0 Bradenburg &amp; Mecklenburg &#8211; Alemanha<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Operador: Vattenfall Europe AG<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Configura\u00e7\u00e3o: 2 X 800 MW<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">In\u00edcio de Opera\u00e7\u00e3o: 1997-1998<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Combust\u00edvel: Linhito<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Fabricante da Caldeira: EVT<\/span><br \/>\n<span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Fabricante das Turbinas e Geradores: Siemens<\/span><\/p>\n<hr \/>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">A segunda lei da termodin\u00e2mica estabelece o conceito de rendimento t\u00e9rmico.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">\u00c9 teoricamente imposs\u00edvel construir uma m\u00e1quina t\u00e9rmica que transforme todo o calor recebido de uma fonte quente em trabalho ou que transfira calor de uma fonte mais fria para uma fonte mais quente sem consumir trabalho.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Ent\u00e3o, a grande quest\u00e3o passa a ser:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Qual a maior efici\u00eancia te\u00f3rica poss\u00edvel de ser obtida?<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">O f\u00edsico e engenheiro militar franc\u00eas <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Nicolas_L%C3%A9onard_Sadi_Carnot\" target=\"_blank\" rel=\"noopener\">Nicolas Leonard Sadi Carnot<\/a> (1796-1832) resolveu esta quest\u00e3o em 1824. De acordo com Carnot, nenhuma m\u00e1quina t\u00e9rmica poderia apresentar um rendimento superior a:<\/span><\/p>\n<figure id=\"attachment_40431\" aria-describedby=\"caption-attachment-40431\" style=\"width: 198px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/carnot.png\"><img decoding=\"async\" class=\"size-full wp-image-40431\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/carnot.png\" alt=\"\" width=\"198\" height=\"99\" \/><\/a><figcaption id=\"caption-attachment-40431\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 1. Efici\u00eancia de Carnot<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03b7 \u00e9 o rendimento [%];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T<sub>f<\/sub> \u00e9 a temperatura da fonte fria[K];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T<sub>q<\/sub> \u00e9 a temperatura da fonte quente[K];<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por\u00e9m, o rendimento real depende do ciclo termodin\u00e2mico que mais se assemelha ao da m\u00e1quina t\u00e9rmica, mas todos se mostraram inferiores ao rendimento de Carnot.<\/span><\/p>\n<hr \/>\n<h6 id='problema-proposto'  id=\"boomdevs_1\"><span style=\"font-family: verdana, geneva, sans-serif;\">Problema Proposto<\/span><\/h6>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Utilizando a f\u00f3rmula do rendimento de Carnot, calcule a efici\u00eancia de uma m\u00e1quina t\u00e9rmica cuja fonte quente se encontre a 212 \u00b0C e a fonte fria a 45 \u00b0C.<\/span><\/p>\n<hr \/>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Atualmente, a gera\u00e7\u00e3o de energia el\u00e9trica, utilizando o vapor, se baseia na turbina a vapor<span id='easy-footnote-3-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-3-23902\" title=\" o motor a vapor virou pe\u00e7a de museu\"><sup>3<\/sup><\/a><\/span>, conforme mostra a Figura 2.\u00a0<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A combust\u00e3o da mistura combust\u00edvel-ar produz calor na caldeira que transforma a \u00e1gua em vapor. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Em seguida, injeta-se o vapor na turbina para gerar trabalho mec\u00e2nico que aciona o gerador. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por sua vez, o vapor na sa\u00edda na turbina se transforma novamente em \u00e1gua ao passar pelo condensador. <\/span><span style=\"font-family: verdana, geneva, sans-serif;\">Nesta opera\u00e7\u00e3o, devolve-se o calor retirado para o meio ambiente. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Finalmente, a \u00e1gua sai do condensador para a bomba que injeta novamente a \u00e1gua com a press\u00e3o adequada na caldeira. Desta maneira, o ciclo termodin\u00e2mico se completa.<\/span><\/p>\n<figure id=\"attachment_27478\" aria-describedby=\"caption-attachment-27478\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica.png\"><img decoding=\"async\" class=\"wp-image-27478\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica.png\" alt=\"\" width=\"800\" height=\"625\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica.png 2399w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-300x234.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-1024x799.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-768x600.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-1536x1199.png 1536w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-2048x1599.png 2048w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-1200x937.png 1200w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/Termica-1980x1546.png 1980w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><figcaption id=\"caption-attachment-27478\" class=\"wp-caption-text\">Figura 2. Componentes de uma T\u00e9rmica a Vapor<\/figcaption><\/figure>\n<h2 id='\u00e1gua'  id=\"boomdevs_2\">\u00c1gua<\/h2>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A <a href=\"https:\/\/en.wikipedia.org\/wiki\/Properties_of_water\" target=\"_blank\" rel=\"noopener\">\u00e1gua<\/a> se tornou o fluido de trabalho preferido devido \u00e0s suas excelentes propriedades t\u00e9rmicas<span id='easy-footnote-4-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-4-23902\" title=\" A \u00e1gua possui um dos maiores valores de &lt;a href=&quot;https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-termicas\/calor-especifico\/&quot;&gt;Calor Espec\u00edfico&lt;\/a&gt;\"><sup>4<\/sup><\/a><\/span> e disponibilidade na terra.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Define-se o estado termodin\u00e2mico das subst\u00e2ncias por quaisquer duas das sete propriedades termodin\u00e2micas:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Temperatura[K];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Press\u00e3o [Pa];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Volume Espec\u00edfico[m<sup>3<\/sup>\/kg];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Energia interna[J];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Entalpia[J] ou Entalpia Espec\u00edfica[J\/kg];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Entropia[J\/K] ou Entropia Espec\u00edfica[J\/(kg.K)];<span id='easy-footnote-5-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-5-23902\" title=\" a partir de agora utilizaremos sempre as grandezas espec\u00edficas\"><sup>5<\/sup><\/a><\/span><\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T\u00edtulo.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O vapor de \u00e1gua tem sido extremamente estudado e suas propriedades se encontram documentadas pela <strong>International Association for Properties of Water and Steam<\/strong> &#8211; <a href=\"http:\/\/www.iapws.org\/\" target=\"_parent\" rel=\"noopener\">IAPWS<\/a>. Este <a href=\"http:\/\/thermophysics.ru\/pdf_doc\/IAPWS_1995.pdf\" target=\"_blank\" rel=\"noopener\">documento<\/a> apresenta os fundamentos atualmente v\u00e1lidos para determinar as propriedades termodin\u00e2micas do vapor d&#8217;\u00e1gua para utiliza\u00e7\u00e3o industrial. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Utilizaremos no curso o programa <\/span><a style=\"font-family: verdana, geneva, sans-serif;\" href=\"https:\/\/web1.hszg.de\/thermo_fpc\/\" target=\"principal\" rel=\"noopener\">Fluid Properties Calculator<\/a>\u00a0 <span style=\"font-family: verdana, geneva, sans-serif;\">para realizarmos os c\u00e1lculos necess\u00e1rios. <span id='easy-footnote-6-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-6-23902\" title=\" Desenvolvido pelo Prof. Hans-Joachim Kretzschmar da Faculdade de Engenharia Mec\u00e2nica da Universidade de Ci\u00eancias Aplicadas Zittau\/Goerlitz e sua equipe utilizando a metodologia e dados da IAPWS\"><sup>6<\/sup><\/a><\/span><\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Figura 3 mostra o diagrama da Temperatura em fun\u00e7\u00e3o da entropia da \u00e1gua. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A curva em azul representa os estados poss\u00edveis da \u00e1gua na gera\u00e7\u00e3o a vapor e no ciclo Rankine. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Entre o condensador e a caldeira, a \u00e1gua se encontra no estado l\u00edquido. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Dentro da caldeira, ela passa de l\u00edquido para vapor saturado, vapor superaquecido ou fluido dependendo do projeto da caldeira. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Tradicionalmente, as caldeiras trabalhavam abaixo do ponto cr\u00edtico da \u00e1gua, mas as caldeiras modernas, denominadas de supercr\u00edticas, operam acima do ponto cr\u00edtico.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A regi\u00e3o de vapor \u00famido se caracteriza pela coexist\u00eancia de \u00e1gua no estado l\u00edquido e gasoso.\u00a0<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Para se caracterizar o estado termodin\u00e2mico das subst\u00e2ncias torna-se necess\u00e1rio saber o valor de pelo menos duas vari\u00e1veis termodin\u00e2micas. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Usualmente, utiliza-se a temperatura e a press\u00e3o. Por\u00e9m, durante a mudan\u00e7a da fase l\u00edquida para a gasosa, a temperatura permanece constante e outra grandeza se torna necess\u00e1ria para caracterizar o estado.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Nesses casos, utiliza-se o T\u00edtulo definido como a rela\u00e7\u00e3o entre a massa de vapor e a massa total, conforme mostra a Equa\u00e7\u00e3o 2.<\/span><\/p>\n<figure id=\"attachment_40438\" aria-describedby=\"caption-attachment-40438\" style=\"width: 236px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/titulo.png\"><img decoding=\"async\" class=\"size-full wp-image-40438\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/titulo.png\" alt=\"\" width=\"236\" height=\"83\" \/><\/a><figcaption id=\"caption-attachment-40438\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 2. T\u00edtulo<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">x \u00e9 o t\u00edtulo [adimensional];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">m<sub>v<\/sub> \u00e9 a massa de vapor;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">m<sub>l<\/sub> \u00e9 a massa de l\u00edquido.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<figure style=\"width: 1587px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/temp_%20Ental.png\" alt=\"\" width=\"1587\" height=\"991\" \/><figcaption class=\"wp-caption-text\">Figura 3. Temperatura x Entropia da \u00e1gua<\/figcaption><\/figure>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Water_(data_page)#Thermodynamic_properties\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: verdana, geneva, sans-serif;\">Propriedades da \u00e1gua<\/span><\/a><\/p>\n<h2 id='ciclo-de-rankine'  id=\"boomdevs_3\">Ciclo de Rankine<\/h2>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O <a href=\"https:\/\/en.wikipedia.org\/wiki\/Rankine_cycle\" target=\"_blank\" rel=\"noopener\">Ciclo Rankine<\/a> consiste no ciclo termodin\u00e2mico que melhor representa o processo de gera\u00e7\u00e3o de energia a partir do vapor d&#8217;\u00e1gua.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Contudo, outros fluidos tamb\u00e9m podem ser utilizados em aplica\u00e7\u00f5es especiais, como na gera\u00e7\u00e3o geot\u00e9rmica.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O ciclo de Rankine se baseia em quatro processos termodin\u00e2micos:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Bombeamento adiab\u00e1tico\u00a0<\/span><span style=\"font-family: verdana, geneva, sans-serif;\">na bomba &#8211; 1 a 2 <span id='easy-footnote-7-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-7-23902\" title=\" &lt;span class=&quot;se2 x_xd1 hasSn&quot;&gt;&lt;span class=&quot;x_xdh x_xdt&quot;&gt;&lt;span class=&quot;sn&quot;&gt;1 &lt;strong&gt;Adiab\u00e1tico.&lt;\/strong&gt;&lt;\/span&gt;&lt;\/span&gt;&lt;\/span&gt;&lt;\/span&gt;&lt;span style=&quot;font-family: verdana, geneva, sans-serif;&quot;&gt;&lt;span class=&quot;se2 x_xd1 hasSn&quot;&gt;&lt;span class=&quot;x_xdh x_xdt&quot;&gt;&lt;span class=&quot;sn&quot;&gt; D&lt;\/span&gt;&lt;span class=&quot;msDict t_first&quot;&gt;&lt;span class=&quot;df&quot; role=&quot;text&quot;&gt;iz-se de processo que ocorre em um sistema f\u00edsico, sem que este ganhe ou perca calor\"><sup>7<\/sup><\/a><\/span> <span id='easy-footnote-8-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-8-23902\" title=\" &lt;\/span&gt;&lt;\/span&gt;&lt;\/span&gt;&lt;\/span&gt;&lt;span class=&quot;se2 x_xd1 hasSn&quot;&gt;&lt;span class=&quot;x_xdh x_xdt&quot;&gt;&lt;span class=&quot;sn&quot;&gt;2 &lt;strong&gt;Adiab\u00e1tico&lt;\/strong&gt;. Q&lt;\/span&gt;&lt;span class=&quot;msDict t_first&quot;&gt;&lt;span class=&quot;df&quot; role=&quot;text&quot;&gt;ue n\u00e3o envolve mudan\u00e7a na &lt;span class=&quot;italic&quot;&gt;entropia&lt;\/span&gt; (diz-se de processo termodin\u00e2mico revers\u00edvel) \"><sup>8<\/sup><\/a><\/span><\/span><\/span><\/span><\/span> <\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Transforma\u00e7\u00e3o da \u00e1gua em vapor a press\u00e3o constante na caldeira &#8211; 2 a 3;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Expans\u00e3o adiab\u00e1tica na turbina &#8211; 3 a 4;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Condensa\u00e7\u00e3o do vapor a press\u00e3o constante no condensador &#8211; 4 a 1.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<figure style=\"width: 806px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/VAPOR.gif\" alt=\"vapor\" width=\"806\" height=\"498\" \/><figcaption class=\"wp-caption-text\">Figura 4. Gera\u00e7\u00e3o a Vapor<\/figcaption><\/figure>\n<figure style=\"width: 1280px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/rankine1_new.png\" alt=\"\" width=\"1280\" height=\"1024\" \/><figcaption class=\"wp-caption-text\">Figura 5. Diagrama do Ciclo Rankine<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Observa-se que os pontos 1 e 2 s\u00e3o id\u00eanticos no diagrama Temperatura x Entropia porque o bombeamento adiab\u00e1tico n\u00e3o produz varia\u00e7\u00e3o de temperatura nem varia\u00e7\u00e3o de entropia.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Durante a transfer\u00eancia de calor para a \u00e1gua na caldeira, a temperatura se eleva at\u00e9 o ponto 2\u00b4, onde o processo de evapora\u00e7\u00e3o se inicia.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A partir deste ponto, a temperatura da mistura \u00e1gua\/vapor permanece constante at\u00e9 que todo o l\u00edquido tenha se transformado em vapor.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Equa\u00e7\u00e3o 3 fornece o rendimento t\u00e9rmico do ciclo Rankine.<\/span><\/p>\n<figure id=\"attachment_40458\" aria-describedby=\"caption-attachment-40458\" style=\"width: 560px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine.png\"><img decoding=\"async\" class=\"size-full wp-image-40458\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine.png\" alt=\"\" width=\"560\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine.png 560w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine-300x53.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/a><figcaption id=\"caption-attachment-40458\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 3. Rendimento\u00a0termodin\u00e2mico do ciclo Rankine<\/figcaption><\/figure>\n<p align=\"left\"><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">w<sub>liq<\/sub>\u00a0\u00e9 o trabalho l\u00edquido executado;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">q<sub>H<\/sub> \u00e9 o calor fornecido ao sistema em temperatura elevada;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">q<sub>L<\/sub> \u00e9 o calor retirado do sistema em baixa temperatura;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">w<sub>t<\/sub>\u00a0\u00e9 o trabalho realizado pela turbina;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">w<sub>b<\/sub>\u00a0\u00e9 o trabalho realizado pela bomba.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando que:<\/span><\/p>\n<figure id=\"attachment_40459\" aria-describedby=\"caption-attachment-40459\" style=\"width: 245px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/qh_ql_rankine.png\"><img decoding=\"async\" class=\"size-full wp-image-40459\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/qh_ql_rankine.png\" alt=\"\" width=\"245\" height=\"99\" \/><\/a><figcaption id=\"caption-attachment-40459\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 4. Calor injetado e retirado<\/figcaption><\/figure>\n<figure id=\"attachment_40460\" aria-describedby=\"caption-attachment-40460\" style=\"width: 260px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/trabalho_rankine.png\"><img decoding=\"async\" class=\"size-full wp-image-40460\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/trabalho_rankine.png\" alt=\"\" width=\"260\" height=\"98\" \/><\/a><figcaption id=\"caption-attachment-40460\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 5. Trabalho<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">h<sub>i<\/sub>\u00a0\u00e9 a entalpia no estado i.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Substituindo as equa\u00e7\u00f5es 4 e 5 na Equa\u00e7\u00e3o 3, obt\u00e9m-se o rendimento t\u00e9rmico do ciclo Rankine em fun\u00e7\u00e3o das entalpias.<\/span><\/p>\n<figure id=\"attachment_40461\" aria-describedby=\"caption-attachment-40461\" style=\"width: 695px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine_1.png\"><img decoding=\"async\" class=\"size-full wp-image-40461\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine_1.png\" alt=\"\" width=\"695\" height=\"96\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine_1.png 695w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/rend_rankine_1-300x41.png 300w\" sizes=\"(max-width: 695px) 100vw, 695px\" \/><\/a><figcaption id=\"caption-attachment-40461\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 6. Rendimento em fun\u00e7\u00e3o das entalpias<\/figcaption><\/figure>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">A Equa\u00e7\u00e3o 6 mostra que o rendimento parece com o rendimento de Carnot, mas a varia\u00e7\u00e3o de entalpia na caldeira<span id='easy-footnote-9-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-9-23902\" title=\" que \u00e9 a fonte quente\"><sup>9<\/sup><\/a><\/span> substituiu a temperatura da fonte quente, e a varia\u00e7\u00e3o da entalpia no condensador<span id='easy-footnote-10-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-10-23902\" title=\" que \u00e9 a fonte fria\"><sup>10<\/sup><\/a><\/span> substituiu a temperatura da fonte fria.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Neste ciclo Rankine ideal, a temperatura m\u00e9dia de rejei\u00e7\u00e3o de calor \u00e9 constante e igual \u00e0 temperatura de condensa\u00e7\u00e3o.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">No entanto, a temperatura m\u00e9dia de fornecimento de calor na caldeira \u00e9 inferior \u00e0 temperatura de vaporiza\u00e7\u00e3o por causa da varia\u00e7\u00e3o de temperatura entre os pontos 1 e 2&#8242;.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Isto significa que o rendimento do ciclo Rankine ideal se torna inferior ao rendimento t\u00e9rmico do ciclo de Carnot operando com temperatura m\u00e1xima igual a temperatura de vaporiza\u00e7\u00e3o e m\u00ednima igual \u00e0 temperatura de condensa\u00e7\u00e3o.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\"><strong>O que fazer para aumentar a efici\u00eancia do ciclo Rankine?<\/strong><\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Basicamente, existem tr\u00eas possibilidades para aumentar o rendimento do ciclo Rankine:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Redu\u00e7\u00e3o da press\u00e3o na sa\u00edda da turbina;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Aumento da press\u00e3o no sistema;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Superaquecer o vapor.<\/span><\/li>\n<\/ul>\n<figure style=\"width: 1585px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/rankine_3.png\" alt=\"\" width=\"1585\" height=\"989\" \/><figcaption class=\"wp-caption-text\">Figura 6. Redu\u00e7\u00e3o da press\u00e3o na sa\u00edda da turbina<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A redu\u00e7\u00e3o da press\u00e3o do vapor na sa\u00edda da turbina aumenta o rendimento, mas pode provocar condensa\u00e7\u00e3o do vapor dentro da turbina. Esta \u00e1gua condensada forma got\u00edculas que destroem as palhetas da turbina.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por isso, o t\u00edtulo do vapor na sa\u00edda da turbina n\u00e3o deve ser inferior a 0,85.<\/span><\/p>\n<figure style=\"width: 1585px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/rankine_2.png\" alt=\"\" width=\"1585\" height=\"989\" \/><figcaption class=\"wp-caption-text\">Figura 7. Aumento da press\u00e3o do sistema<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O aumento da press\u00e3o na caldeira acarreta aumento de temperatura porque a \u00e1gua passar\u00e1 a ferver numa temperatura mais elevada. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Consequentemente, os esfor\u00e7os termomec\u00e2nicos no equipamento aumentam, esta solu\u00e7\u00e3o se encontra limitada pela tecnologia dos materiais existentes.<\/span><\/p>\n<figure style=\"width: 1585px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/rankine_1.png\" alt=\"\" width=\"1585\" height=\"989\" \/><figcaption class=\"wp-caption-text\">Figura 8. Superaquecimento do vapor<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Finalmente, existe a solu\u00e7\u00e3o de superaquecer o vapor. Mais uma vez, esta solu\u00e7\u00e3o deve respeitar as limita\u00e7\u00f5es tecnol\u00f3gicas dos materiais dispon\u00edveis no mercado.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Na pr\u00e1tica, utilizam-se dois sistemas b\u00e1sicos para aumentar a efici\u00eancia da gera\u00e7\u00e3o a vapor:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Reaquecimento;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Regenera\u00e7\u00e3o.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O Reaquecimento consiste em utilizar duas turbinas acopladas ao mesmo eixo e reaquecer na caldeira o vapor da sa\u00edda da turbina de alta press\u00e3o antes de injet\u00e1-lo na turbina de baixa press\u00e3o conforme mostra a Figura 6.<\/span><\/p>\n<figure style=\"width: 1020px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/reaquecimento.png\" alt=\"\" width=\"1020\" height=\"631\" \/><figcaption class=\"wp-caption-text\">Figura 6.\u00a0 Reaquecimento de vapor<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O outro m\u00e9todo consiste em pr\u00e9-aquecer a \u00e1gua de alimenta\u00e7\u00e3o da caldeira conforme mostra a Figura 7.<\/span><\/p>\n<figure style=\"width: 761px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/termica_vapor_3.png\" alt=\"\" width=\"761\" height=\"474\" \/><figcaption class=\"wp-caption-text\">Figura 7. Regenera\u00e7\u00e3o de calor<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h4 id='exemplo-1'  id=\"boomdevs_4\">Exemplo #1<\/h4>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Determine o rendimento de um ciclo Rankine da Figura 4, que utiliza \u00e1gua como fluido de trabalho, considerando que:<span id='easy-footnote-11-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-11-23902\" title=\" Exemplo 9.1 de BORGNAKKE\"><sup>11<\/sup><\/a><\/span><\/span>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A press\u00e3o no condensador \u00e9 de 10 kPa;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A press\u00e3o na caldeira \u00e9 de 2 MPa;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">O vapor na entrada da turbina \u00e9 saturado.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Determine a temperatura da fonte quente para que a efici\u00eancia do ciclo de Carnot fosse igual \u00e0 efici\u00eancia deste exemplo.<\/span><\/li>\n<\/ul>\n<figure style=\"width: 806px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" src=\"http:\/\/www.antonioguilherme.web.br.com\/Images\/VAPOR.gif\" alt=\"vapor\" width=\"806\" height=\"498\" \/><figcaption class=\"wp-caption-text\">Figura 8. Exemplo #1<\/figcaption><\/figure>\n<h4 id='solu\u00e7\u00e3o'  id=\"boomdevs_5\"><span style=\"font-family: verdana, geneva, sans-serif;\">Solu\u00e7\u00e3o<\/span><\/h4>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Equa\u00e7\u00e3o 6 fornece o rendimento do ciclo Rankine em fun\u00e7\u00e3o das entalpias dos estados termodin\u00e2micos da \u00e1gua no sistema.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por isso, torna-se necess\u00e1rio calcular o valor da entalpia nos diversos pontos.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Tabela abaixo apresenta os pontos e as grandezas termodin\u00e2micas fornecidas no enunciado do problema.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O primeiro passo consiste no preenchimento da Tabela. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Para isso, deve-se utilizar <a href=\"https:\/\/web1.hszg.de\/thermo_fpc\/\" target=\"_blank\" rel=\"noopener\">Fluid Property Calculator &#8211; FPC<\/a>. <\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por\u00e9m, para determinar o estado termodin\u00e2mico necessita-se de duas grandezas termodin\u00e2micas e apenas o primeiro ponto possui a press\u00e3o e o t\u00edtulo.<\/span><\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Deve-se iniciar utilizando o programa FPC para determinar as grandezas termodin\u00e2micas em #1 porque possui dois valores fornecidos pelo enunciado do problema.<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Existem tr\u00eas possibilidades para o ponto #2:<\/span>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando o bombeamento adiab\u00e1tico, a Entropia de #2 dever\u00e1 ser igual \u00e0 Entropia de #1;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando as temperaturas iguais; <span id='easy-footnote-12-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-12-23902\" title=\" Qual dos m\u00e9todos voc\u00ea considera mais apropriado? \"><sup>12<\/sup><\/a><\/span><\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">O trabalho realizado pela bomba depende do volume espec\u00edfico e da eleva\u00e7\u00e3o de press\u00e3o feita pela bomba. Neste caso, a Equa\u00e7\u00e3o 7 fornece o trabalho realizado pela bomba <span id='easy-footnote-13-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-13-23902\" title=\" supondo a \u00e1gua l\u00edquida incompress\u00edvel. \"><sup>13<\/sup><\/a><\/span>, e a Equa\u00e7\u00e3o 8 a Entalpia do ponto #2. <span id='easy-footnote-14-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-14-23902\" title=\" calculem pelos dois m\u00e9todos e comentem os resultados\"><sup>14<\/sup><\/a><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<figure id=\"attachment_40554\" aria-describedby=\"caption-attachment-40554\" style=\"width: 474px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_1.png\"><img decoding=\"async\" class=\"size-full wp-image-40554\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_1.png\" alt=\"\" width=\"474\" height=\"51\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_1.png 474w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_1-300x32.png 300w\" sizes=\"(max-width: 474px) 100vw, 474px\" \/><\/a><figcaption id=\"caption-attachment-40554\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 7. Trabalho realizado pela bomba<\/figcaption><\/figure>\n<figure id=\"attachment_40557\" aria-describedby=\"caption-attachment-40557\" style=\"width: 362px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_2.png\"><img decoding=\"async\" class=\"size-full wp-image-40557\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_2.png\" alt=\"\" width=\"362\" height=\"148\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_2.png 362w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_2-300x123.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/a><figcaption id=\"caption-attachment-40557\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 8. Entalpia no ponto #2<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 120px;\"><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">w<sub>b<\/sub> \u00e9 o trabalho espec\u00edfico realizado pela bomba[J\/kg];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">v \u00e9 o volume espec\u00edfico [m<sup>3<\/sup>\/kg];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u0394p \u00e9 a varia\u00e7\u00e3o de press\u00e3o na bomba [Pa];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">h \u00e9 a entalpia espec\u00edfica [J\/kg]<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Na Caldeira, como o sistema n\u00e3o possui perdas, o vapor na sa\u00edda da caldeira possui as mesmas caracter\u00edsticas da entrada da turbina. 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 <td style=\"\">3<\/td>\n                            <td style=\"\">212,4<\/td>\n                            <td style=\"\">2,0<\/td>\n                            <td style=\"\">2.798,4<\/td>\n                            <td style=\"\">6,3<\/td>\n                            <td style=\"\">1,0<\/td>\n                            <td style=\"\">0.0995825<\/td>\n                    <\/tr>\n                            <tr id=\"table_60_row_3\"\n            data-row-index=\"3\">\n                            <td style=\"\">5<\/td>\n                            <td style=\"\">4<\/td>\n                            <td style=\"\">45,8<\/td>\n                            <td style=\"\">0,0<\/td>\n                            <td style=\"\">2.006,9<\/td>\n                            <td style=\"\">6,3<\/td>\n                            <td style=\"\">0,8<\/td>\n                            <td style=\"\">0,00101026<\/td>\n                    <\/tr>\n            <\/tbody>        <!-- \/Table body -->\n\n        <!-- Table footer -->\n        \n        <!-- \/Table footer -->\n    <\/table>\n\n<\/div><style>\ntable.wpDataTable td.numdata { text-align: right !important; }\n<\/style>\n<style>\n                    \n                                                                                    .wpdt-c .wpDataTablesWrapper table.wpDataTable thead tr:nth-child(2) th {\n        overflow: visible;\n    }\n\n            \/* table font color *\/\n    .wpdt-c.wpDataTablesWrapper table.wpdtSimpleTable,\n    .wpdt-c .wpDataTablesWrapper table.wpDataTable {\n        font-family: Verdana, Geneva, sans-serif !important;\n    }\n\n            \/* table font size *\/\n    .wpdt-c.wpDataTablesWrapper table.wpdtSimpleTable,\n    .wpdt-c .wpDataTablesWrapper table.wpDataTable {\n        font-size: 24px !important;\n    }\n\n            \n                <\/style>\n<style>\n<\/style>\n<style>\n                            \n                                \/* table font color *\/\n    .wpdt-c.wpDataTablesWrapper table#wpdtSimpleTable-60,\n    .wpdt-c .wpDataTablesWrapper table.wpDataTable.wpDataTableID-60 {\n        font-family: Verdana, Geneva, sans-serif !important;\n    }\n\n            \/* table font size *\/\n    .wpdt-c.wpDataTablesWrapper table#wpdtSimpleTable-60,\n    .wpdt-c .wpDataTablesWrapper table.wpDataTable.wpDataTableID-60 {\n        font-size: 16px !important;\n    }\n\n            \n                    \n<\/style>\n\n<p>&nbsp;<\/p>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A partir dos dados obtidos na Tabela acima, pode-se determinar o calor da fonte quente -caldeira, o calor da fonte fria &#8211; condensador, e os trabalhos realizados na bomba e turbina.<\/span><\/li>\n<\/ul>\n<figure id=\"attachment_40571\" aria-describedby=\"caption-attachment-40571\" style=\"width: 861px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_3.png\"><img decoding=\"async\" class=\"size-full wp-image-40571\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_3.png\" alt=\"\" width=\"861\" height=\"290\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_3.png 861w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_3-300x101.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_3-768x259.png 768w\" sizes=\"(max-width: 861px) 100vw, 861px\" \/><\/a><figcaption id=\"caption-attachment-40571\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 9. Rendimento do exemplo<\/figcaption><\/figure>\n<figure id=\"attachment_40572\" aria-describedby=\"caption-attachment-40572\" style=\"width: 866px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_4.png\"><img decoding=\"async\" class=\"size-full wp-image-40572\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_4.png\" alt=\"\" width=\"866\" height=\"148\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_4.png 866w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_4-300x51.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex1_vapor_4-768x131.png 768w\" sizes=\"(max-width: 866px) 100vw, 866px\" \/><\/a><figcaption id=\"caption-attachment-40572\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 10. Trabalho da turbina e da bomba<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<hr \/>\n<h5 id=''  id=\"boomdevs_6\"><\/h5>\n<h4 id='exemplo-2'  id=\"boomdevs_7\"><span style=\"font-family: verdana, geneva, sans-serif;\">Exemplo #2<\/span><\/h4>\n<p align=\"justify\"><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando o exemplo anterior, determine:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">o fluxo de massa necess\u00e1rio para a gera\u00e7\u00e3o de 1 000MW na turbina;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A pot\u00eancia consumida na bomba de alimenta\u00e7\u00e3o;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A pot\u00eancia a ser resfriada pelo condensador;<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A quantidade de \u00e1gua utilizada no condensador considerando que a temperatura na capta\u00e7\u00e3o de 20\u00b0C e que na sa\u00edda de 24 \u00b0C.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h6 id='solu\u00e7\u00e3o-1'  id=\"boomdevs_8\"><span style=\"font-family: verdana, geneva, sans-serif;\">Solu\u00e7\u00e3o<\/span><\/h6>\n<p>&nbsp;<\/p>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando o trabalho realizado pela turbina igual a 791,45 kJ\/kg, o fluxo de massa necess\u00e1rio para gerar 1.000 MW ser\u00e1 dado por:<\/span><\/li>\n<\/ul>\n<figure id=\"attachment_40465\" aria-describedby=\"caption-attachment-40465\" style=\"width: 409px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/fluxo_massa.png\"><img decoding=\"async\" class=\"size-full wp-image-40465\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/fluxo_massa.png\" alt=\"\" width=\"409\" height=\"92\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/fluxo_massa.png 409w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/fluxo_massa-300x67.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/a><figcaption id=\"caption-attachment-40465\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 7. Fluxo de massa<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">P \u00e9 a pot\u00eancia da turbina [kW];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">w<sub>t<\/sub> \u00e9 o trabalho espec\u00edfico realizado pela turbina [kJ\/kg];<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">m<sup>.<\/sup> \u00e9 o fluxo de massa de vapor na turbina [kg\/s].<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<figure id=\"attachment_40574\" aria-describedby=\"caption-attachment-40574\" style=\"width: 819px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_1.png\"><img decoding=\"async\" class=\"size-full wp-image-40574\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_1.png\" alt=\"\" width=\"819\" height=\"299\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_1.png 819w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_1-300x110.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_1-768x280.png 768w\" sizes=\"(max-width: 819px) 100vw, 819px\" \/><\/a><figcaption id=\"caption-attachment-40574\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 8. Solu\u00e7\u00e3o exemplo #2<\/figcaption><\/figure>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando o calor espec\u00edfico da \u00e1gua igual a 4,184 [kJ\/(kg.K)], a massa de \u00e1gua no trocador de calor ser\u00e1:<\/span><\/li>\n<\/ul>\n<figure id=\"attachment_40575\" aria-describedby=\"caption-attachment-40575\" style=\"width: 227px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_2.png\"><img decoding=\"async\" class=\"size-full wp-image-40575\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/Ex2_vapor_2.png\" alt=\"\" width=\"227\" height=\"78\" \/><\/a><figcaption id=\"caption-attachment-40575\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 9.<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Substituindo os n\u00fameros na Equa\u00e7\u00e3o 9, deve-se utilizar que 137 toneladas de \u00e1gua por segundo para resfriar o vapor na sa\u00edda da turbina.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-44231 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/ex_termica.png\" alt=\"\" width=\"939\" height=\"129\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/ex_termica.png 939w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/ex_termica-300x41.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/ex_termica-768x106.png 768w\" sizes=\"(max-width: 939px) 100vw, 939px\" \/><\/p>\n<hr \/>\n<h4 id='coment\u00e1rios-sobre-os-exemplos'  id=\"boomdevs_9\">Coment\u00e1rios sobre os Exemplos<\/h4>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A bomba de alimenta\u00e7\u00e3o da usina a vapor consome parcela significativa da pot\u00eancia gerada.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Isto vale para toda gera\u00e7\u00e3o a vapor, independentemente, do combust\u00edvel utilizado.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Motores el\u00e9tricos acionam essas bombas e, no caso de falta de energia para aliment\u00e1-las, as consequ\u00eancias podem ser catastr\u00f3ficas, como em Fukushima e Chernobyl.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Neste exemplo, a pot\u00eancia para a bomba de alimenta\u00e7\u00e3o foi de 2,3 MW, que representa 0,25% da pot\u00eancia nominal da usina.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Consequentemente, pelo menos dois geradores de emerg\u00eancia de 2,5 MW deveriam existir nesta usina, o que representa um investimento adicional consider\u00e1vel.\u00a0<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Denomina-se de black-start quando esses geradores possuem a capacidade de alimentar todos os servi\u00e7os auxiliares fundamentais da usina de forma que ela possa partir mesmo sem a energia do sistema.<\/span><\/p>\n<h2 id='refer\u00eancias'  id=\"boomdevs_10\"><span style=\"font-family: verdana, geneva, sans-serif;\">Refer\u00eancias<\/span><\/h2>\n<ul>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">BORGNAKKE, C., SONNTAG, R.E., <strong>Fundamental of Thermodynamics<\/strong>, 8 ed., Wiley, 2013.<\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">LORA, E., ROSA DO NASCIMENTO, M.A. (Coord.) <em><strong>Gera\u00e7\u00e3o Termel\u00e9trica &#8211; Planejamento, Projeto e Opera\u00e7\u00e3o<\/strong><\/em>. Vol.1. Interci\u00eancia. 2004.<span id='easy-footnote-15-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-15-23902\" title=\"Biblioteca Pessoal\"><sup>15<\/sup><\/a><\/span><\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">LORA, E., ROSA DO NASCIMENTO, M.A. (Coord.) <em><strong>Gera\u00e7\u00e3o Termel\u00e9trica &#8211; Planejamento, Projeto e Opera\u00e7\u00e3o<\/strong><\/em>. Vol.1. Interci\u00eancia. 2004 <\/span><span style=\"font-family: verdana, geneva, sans-serif;\"><span id='easy-footnote-16-23902' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/geracao-de-energia-eletrica\/geracao-termica\/maquinas-termicas\/geracao-a-vapor\/#easy-footnote-bottom-16-23902\" title=\"Biblioteca Pessoal\"><sup>16<\/sup><\/a><\/span><\/span><\/li>\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">POTTER, M. SOMERTON, C. D., <strong>Schaum&#8217;s Outline of Thermodynamics for Engineers<\/strong>, McGraaw-Hill, 2010.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;A Primeira Revolu\u00e7\u00e3o Industrial usou \u00e1gua e vapor para mecanizar a produ\u00e7\u00e3o. A Segunda utilizou energia el\u00e9trica para criar a produ\u00e7\u00e3o em massa. A Terceira empregou a eletr\u00f4nica e tecnologia da informa\u00e7\u00e3o para automatizar a produ\u00e7\u00e3o.&#8221; Klaus Schwab A aplica\u00e7\u00e3o do vapor como for\u00e7a motriz se tornou realidade a partir dos trabalhos de Thomas Savery [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":23932,"parent":4074,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"templates\/template-full-width.php","meta":{"_crdt_document":"","_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-23902","page","type-page","status-publish","has-post-thumbnail","hentry"],"uagb_featured_image_src":{"full":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor.png",1200,280,false],"thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor-150x150.png",150,150,true],"medium":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor-300x70.png",300,70,true],"medium_large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor-768x179.png",580,135,true],"large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor-1024x239.png",580,135,true],"1536x1536":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor.png",1200,280,false],"2048x2048":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor.png",1200,280,false],"post-thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor.png",1200,280,false],"twentytwenty-fullscreen":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/01\/maq_vapor.png",1200,280,false]},"uagb_author_info":{"display_name":"admin","author_link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/author\/admin\/"},"uagb_comment_info":0,"uagb_excerpt":"&#8220;A Primeira Revolu\u00e7\u00e3o Industrial usou \u00e1gua e vapor para mecanizar a produ\u00e7\u00e3o. A Segunda utilizou energia el\u00e9trica para criar a produ\u00e7\u00e3o em massa. A Terceira empregou a eletr\u00f4nica e tecnologia da informa\u00e7\u00e3o para automatizar a produ\u00e7\u00e3o.&#8221; Klaus Schwab A aplica\u00e7\u00e3o do vapor como for\u00e7a motriz se tornou realidade a partir dos trabalhos de Thomas Savery&hellip;","_links":{"self":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/23902","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/comments?post=23902"}],"version-history":[{"count":105,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/23902\/revisions"}],"predecessor-version":[{"id":44952,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/23902\/revisions\/44952"}],"up":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/4074"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media\/23932"}],"wp:attachment":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media?parent=23902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}