{"id":41060,"date":"2019-09-25T21:07:34","date_gmt":"2019-09-25T20:07:34","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/que-es-el-calculo-de-la-eficiencia-termica-definicion\/"},"modified":"2020-01-13T12:40:59","modified_gmt":"2020-01-13T11:40:59","slug":"que-es-el-calculo-de-la-eficiencia-termica-definicion","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/es\/que-es-el-calculo-de-la-eficiencia-termica-definicion\/","title":{"rendered":"\u00bfQu\u00e9 es el c\u00e1lculo de la eficiencia t\u00e9rmica? Definici\u00f3n"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">C\u00e1lculo de la eficiencia t\u00e9rmica.\u00a0Para calcular la eficiencia t\u00e9rmica de los ciclos termodin\u00e1micos, los ingenieros utilizan la primera ley de la termodin\u00e1mica en t\u00e9rminos de entalp\u00eda.\u00a0Ingenieria termal<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>C\u00e1lculo de eficiencia t\u00e9rmica<\/h2>\n<p>Como resultado de esta declaraci\u00f3n, se define el\u00a0<strong>rendimiento t\u00e9rmico<\/strong>\u00a0,\u00a0<strong><em>\u03b7\u00a0<\/em><\/strong><strong><em><sub>\u00ba<\/sub><\/em><\/strong>\u00a0, de cualquier motor t\u00e9rmico como la relaci\u00f3n entre el\u00a0<a title=\"Trabajar en termodin\u00e1mica\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-el-trabajo-en-termodinamica-definicion\/\">trabajo<\/a>\u00a0que hace,\u00a0<strong>W<\/strong>\u00a0, para el\u00a0<a title=\"Calor en termodin\u00e1mica\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-el-calor-en-la-fisica-calor-definicion\/\">calor<\/a>\u00a0de entrada a la alta temperatura, Q\u00a0<sub>H<\/sub>\u00a0.<\/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 eficiencia 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>La\u00a0<strong>eficiencia t\u00e9rmica<\/strong>\u00a0,\u00a0<strong><em>\u03b7\u00a0<\/em><\/strong><strong><em><sub>th<\/sub><\/em><\/strong>\u00a0, representa la fracci\u00f3n de\u00a0<strong>calor<\/strong>\u00a0,\u00a0<strong>Q\u00a0<sub>H<\/sub><\/strong>\u00a0, que se convierte\u00a0<strong>en trabajo<\/strong>\u00a0.\u00a0Es una medida de rendimiento sin dimensiones de un motor t\u00e9rmico que utiliza energ\u00eda t\u00e9rmica, como una turbina de vapor, un motor de combusti\u00f3n interna o un refrigerador.\u00a0Para una bomba de refrigeraci\u00f3n o de calor, la eficiencia t\u00e9rmica indica el grado en que la energ\u00eda agregada por el trabajo se convierte en salida neta de calor.\u00a0Como es un n\u00famero adimensional, siempre debemos expresar W, Q\u00a0<sub>H<\/sub>\u00a0y Q\u00a0<sub>C<\/sub>\u00a0en las mismas unidades.<\/p>\n<p>Dado que la energ\u00eda se conserva de acuerdo con la\u00a0<a title=\"Primera ley de la termodin\u00e1mica\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-la-primera-ley-de-la-termodinamica-definicion\/\"><strong>primera ley de la termodin\u00e1mica<\/strong>\u00a0<\/a>y la energ\u00eda no se puede convertir en trabajo por completo, la entrada de calor, Q\u00a0<sub>H<\/sub>\u00a0, debe ser igual al trabajo realizado, W, m\u00e1s el calor que se debe disipar como\u00a0<strong>calor residual Q\u00a0<sub>C<\/sub><\/strong>\u00a0en el ambiente.\u00a0Por lo tanto, podemos reescribir la f\u00f3rmula para la eficiencia t\u00e9rmica como:<\/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-medium wp-image-16944 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-2-300x71.png\" alt=\"f\u00f3rmula de eficiencia t\u00e9rmica - 2\" width=\"300\" height=\"71\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-formula-2-300x71.png\" \/><\/a><\/p>\n<p>Para dar la eficiencia como un porcentaje, multiplicamos la f\u00f3rmula anterior por 100. Tenga en cuenta que,\u00a0<strong><em>\u03b7\u00a0<\/em><\/strong><strong><em><sub>th<\/sub><\/em><\/strong>\u00a0podr\u00eda ser 100% solo si el calor residual Q\u00a0<sub>C<\/sub>\u00a0ser\u00e1 cero.<\/p>\n<p>En general, la eficiencia de incluso los\u00a0<strong>mejores motores t\u00e9rmicos<\/strong>\u00a0es bastante baja.\u00a0En resumen, es\u00a0<strong>muy dif\u00edcil<\/strong>\u00a0de convertir\u00a0<a href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-la-energia-interna-energia-termica-definicion\/\">la energ\u00eda t\u00e9rmica<\/a>\u00a0a\u00a0<a title=\"\u00bfQu\u00e9 es la energ\u00eda mec\u00e1nica?\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-mechanical-energy\/\">la energ\u00eda mec\u00e1nica<\/a>\u00a0.\u00a0Las eficiencias t\u00e9rmicas suelen ser\u00a0<strong>inferiores al 50%<\/strong>\u00a0y, a menudo, muy inferiores.\u00a0Tenga cuidado cuando lo compara con la eficiencia de la energ\u00eda e\u00f3lica o hidr\u00e1ulica (las turbinas e\u00f3licas no son motores de calor), no hay conversi\u00f3n de energ\u00eda entre la energ\u00eda t\u00e9rmica y mec\u00e1nica.<\/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<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>C\u00e1lculo del ciclo de Brayton<\/span><\/h2>\n<p><span>Supongamos el\u00a0<\/span><strong><span>ciclo Brayton ideal<\/span><\/strong><span>\u00a0que describe el funcionamiento de un\u00a0<strong>motor de calor a\u00a0<\/strong><\/span><strong><span>presi\u00f3n constante<\/span><\/strong>\u00a0<span>.\u00a0<strong>Los modernos<\/strong>\u00a0motores de\u00a0<strong>turbina de gas<\/strong>\u00a0y los motores de\u00a0<strong>inyecci\u00f3n de aire<\/strong>\u00a0tambi\u00e9n siguen el ciclo de Brayton.\u00a0Este ciclo consta de cuatro procesos termodin\u00e1micos:<\/span><\/p>\n<ol>\n<li>\n<figure id=\"attachment_16843\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16843\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16843 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" alt=\"primera ley - ejemplo - ciclo de brayton\" width=\"300\" height=\"244\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" \/><\/a><figcaption id=\"caption-attachment-16843\" class=\"wp-caption-text\"><span>El ciclo ideal de Brayton consiste en cuatro procesos termodin\u00e1micos.\u00a0Dos procesos isentr\u00f3picos y dos procesos isob\u00e1ricos.<\/span><\/figcaption><\/figure>\n<p><strong><span>Compresi\u00f3n isentr\u00f3pica<\/span><\/strong><span>\u00a0: el aire ambiente ingresa al compresor, donde se presuriza (1 \u2192 2).\u00a0El trabajo requerido para el compresor viene dado por\u00a0<\/span><strong><span>W\u00a0<\/span><\/strong><strong><sub><span>C<\/span><\/sub><\/strong><strong><span>\u00a0= H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0.<\/span><\/strong><\/li>\n<li><strong><span>adici\u00f3n de calor isob\u00e1rico<\/span><\/strong><span>\u00a0: el aire comprimido pasa a trav\u00e9s de una c\u00e1mara de combusti\u00f3n, donde se quema el combustible y se calienta el aire u otro medio (2 \u2192 3).\u00a0Es un proceso de presi\u00f3n constante, ya que la c\u00e1mara est\u00e1 abierta para fluir hacia adentro y hacia afuera.\u00a0El calor neto agregado viene 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>Expansi\u00f3n isentr\u00f3pica<\/span><\/strong><span>\u00a0: el aire calentado y presurizado se expande en la turbina y entrega su energ\u00eda.\u00a0El trabajo realizado por la turbina viene 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><\/li>\n<li><strong><span>rechazo de calor isob\u00e1rico<\/span><\/strong><span>\u00a0: el calor residual debe rechazarse para cerrar el ciclo.\u00a0El calor neto rechazado viene 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<\/ol>\n<p><span>Como se puede ver, podemos describir y calcular (por ejemplo, eficiencia termodin\u00e1mica) tales ciclos (de manera similar para el\u00a0<\/span><strong><span>ciclo de Rankine<\/span><\/strong><span>\u00a0) usando\u00a0<\/span><a title=\"\u00bfQu\u00e9 es la entalp\u00eda?\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\"><span>entalp\u00edas<\/span><\/a><span>\u00a0.<\/span><\/p>\n<p><span>Para calcular la\u00a0<\/span><strong><span>eficiencia t\u00e9rmica<\/span><\/strong><span>\u00a0del\u00a0<\/span><strong><span>ciclo Brayton<\/span><\/strong><span>\u00a0(compresor simple y turbina simple), los ingenieros utilizan la\u00a0<\/span><strong><span>primera ley de la termodin\u00e1mica<\/span><\/strong><span>\u00a0en t\u00e9rminos de entalp\u00eda en lugar de en t\u00e9rminos de energ\u00eda interna.<\/span><\/p>\n<p><span>La\u00a0<\/span><a title=\"Primera ley en t\u00e9rminos de entalp\u00eda 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>primera ley en t\u00e9rminos de entalp\u00eda<\/span><\/a><span>\u00a0es:<\/span><\/p>\n<p><em><strong><span>dH = dQ + Vdp<\/span><\/strong><\/em><\/p>\n<p><span>En esta ecuaci\u00f3n, el t\u00e9rmino\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0es un\u00a0<\/span><strong><span>proceso de flujo de trabajo.\u00a0<\/span><\/strong><span>Este trabajo, \u00a0\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0, se utiliza para\u00a0<\/span><strong><span>sistemas de flujo abierto<\/span><\/strong><span>\u00a0como una\u00a0<\/span><strong><span>turbina<\/span><\/strong><span>\u00a0o una\u00a0<\/span><strong><span>bomba<\/span><\/strong><span>\u00a0en la que hay un\u00a0<\/span><strong><span>&#8220;dp&#8221;<\/span><\/strong><span>\u00a0, es decir, un cambio de presi\u00f3n.\u00a0No hay cambios en el\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/control-volume-control-volume-analysis\/\"><span>volumen de control<\/span><\/a><span>\u00a0.\u00a0Como puede verse, esta forma de ley\u00a0<\/span><strong><span>simplifica la descripci\u00f3n de la transferencia de energ\u00eda<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>Hay expresiones en t\u00e9rminos de variables m\u00e1s familiares como\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-la-temperatura-fisica-definicion\/\"><span>temperatura<\/span><\/a><span>\u00a0y\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><span>presi\u00f3n<\/span><\/a><span>\u00a0:<\/span><\/p>\n<p><strong><em><span>dH = C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0dT + V (1-\u03b1T) dp<\/span><\/em><\/strong><\/p>\n<p><span>Donde\u00a0<\/span><strong><span>C\u00a0<\/span><\/strong><strong><sub><span>p<\/span><\/sub><\/strong><span>\u00a0es la\u00a0<\/span><strong><a title=\"Capacidad de calor - Capacidad de calor espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/heat-capacity\/\"><span>capacidad calor\u00edfica<\/span><\/a><span>\u00a0a presi\u00f3n constante<\/span><\/strong><span>\u00a0y\u00a0<\/span><strong><em><span>\u03b1<\/span><\/em><\/strong><span>\u00a0es el coeficiente de expansi\u00f3n t\u00e9rmica (c\u00fabica).\u00a0Para\u00a0<\/span><strong><span>gas ideal<\/span><\/strong><span>\u00a0\u03b1T = 1 y por lo tanto:<\/span><\/p>\n<p><strong><em><span>dH = C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0dT<\/span><\/em><\/strong><\/p>\n<p><strong><span>A presi\u00f3n constante<\/span><\/strong><span>\u00a0, el\u00a0<\/span><strong><span>cambio de entalp\u00eda<\/span><\/strong><span>\u00a0es igual a la\u00a0<\/span><strong><span>energ\u00eda<\/span><\/strong><span>\u00a0transferida del ambiente a trav\u00e9s del calentamiento:<\/span><\/p>\n<p><strong><span>Proceso isob\u00e1rico (Vdp = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = dQ \u2192 Q = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0\u00a0\u00a0\u2192 H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0=\u00a0<\/span><em><span>C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0(T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0&#8211; T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>1<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0)<\/span><\/em><\/strong><\/p>\n<p><strong><span>En una entrop\u00eda constante<\/span><\/strong><span>\u00a0, es decir, en un proceso isentr\u00f3pico, el\u00a0<\/span><strong><span>cambio de entalp\u00eda<\/span><\/strong><span>\u00a0es igual al\u00a0<\/span><strong><span>trabajo del proceso de flujo<\/span><\/strong><span>\u00a0realizado en o por el sistema:<\/span><\/p>\n<p><strong><span>Proceso isentr\u00f3pico (dQ = 0):<\/span><\/strong><\/p>\n<p><strong><span>dH = Vdp \u2192 W = H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0\u00a0\u00a0\u00a0\u00a0\u2192 H\u00a0<\/span><\/strong><strong><sub><span>2<\/span><\/sub><\/strong><strong><span>\u00a0&#8211; H\u00a0<\/span><\/strong><strong><sub><span>1<\/span><\/sub><\/strong><strong><span>\u00a0=\u00a0<\/span><em><span>C\u00a0<\/span><\/em><\/strong><strong><em><sub><span>p<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0(T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>2<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0&#8211; T\u00a0<\/span><\/em><\/strong><strong><em><sub><span>1<\/span><\/sub><\/em><\/strong><strong><em><span>\u00a0)<\/span><\/em><\/strong><\/p>\n<figure id=\"attachment_16843\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16843\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16843 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" alt=\"primera ley - ejemplo - ciclo de brayton\" width=\"300\" height=\"244\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/first-law-example-brayton-cycle-300x244.png\" \/><\/a><figcaption id=\"caption-attachment-16843\" class=\"wp-caption-text\"><span>El ciclo ideal de Brayton consiste en cuatro procesos termodin\u00e1micos.\u00a0Dos procesos isentr\u00f3picos y dos procesos isob\u00e1ricos.<\/span><\/figcaption><\/figure>\n<p><span>La\u00a0<\/span><strong><span>entalp\u00eda<\/span><\/strong><span>\u00a0se puede convertir en una\u00a0variable\u00a0<\/span><strong><span>intensiva<\/span><\/strong><span>\u00a0o\u00a0<\/span><strong><span>espec\u00edfica<\/span><\/strong><span>\u00a0dividi\u00e9ndola por la\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-mass-and-weight\/what-is-mass\/\"><span>masa<\/span><\/a><span>\u00a0.\u00a0<\/span><strong><span>Los ingenieros usan la\u00a0<\/span><\/strong><strong><span>entalp\u00eda espec\u00edfica<\/span><\/strong><span>\u00a0en el an\u00e1lisis termodin\u00e1mico m\u00e1s que la entalp\u00eda misma.\u00a0La eficiencia t\u00e9rmica de un ciclo Brayton tan simple, para gas ideal y en t\u00e9rminos de entalp\u00edas espec\u00edficas, ahora se puede expresar en t\u00e9rminos de temperaturas:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-16963 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\" alt=\"eficiencia t\u00e9rmica del ciclo de Brayton\" width=\"602\" height=\"60\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/thermal-efficiency-brayton-cycle-equation.png\" \/><\/a><\/p>\n<\/div>\n<\/div>\n<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>C\u00e1lculo del ciclo de Rankine<\/span><\/h2>\n<figure id=\"attachment_16026\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-16026\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermodynamic-Cycles-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-16026 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermodynamic-Cycles-min-300x277.png\" alt=\"termodin\u00e1mica de ingenier\u00eda\" width=\"300\" height=\"277\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Thermodynamic-Cycles-min-300x277.png\" \/><\/a><figcaption id=\"caption-attachment-16026\" class=\"wp-caption-text\"><span>Ciclo de Rankine &#8211; Termodin\u00e1mica como ciencia de conversi\u00f3n de energ\u00eda<\/span><\/figcaption><\/figure>\n<p><span>El\u00a0<\/span><strong><span>ciclo de Rankine<\/span><\/strong><span>\u00a0describe de cerca los procesos en motores de calor operados por vapor que se encuentran com\u00fanmente en la mayor\u00eda de\u00a0<\/span><strong><span>las centrales t\u00e9rmicas<\/span><\/strong><span>\u00a0.\u00a0Las fuentes de calor utilizadas en estas centrales el\u00e9ctricas suelen ser la combusti\u00f3n de combustibles f\u00f3siles como el carb\u00f3n, el gas natural o tambi\u00e9n la\u00a0<\/span><strong><span>fisi\u00f3n nuclear<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>Una\u00a0<\/span><a title=\"Planta de energ\u00eda nuclear\" href=\"https:\/\/www.nuclear-power.com\/nuclear-power-plant\/\"><strong><span>planta de energ\u00eda nuclear<\/span><\/strong><\/a><span>\u00a0(estaci\u00f3n de energ\u00eda nuclear) se parece a una estaci\u00f3n de energ\u00eda t\u00e9rmica est\u00e1ndar con una excepci\u00f3n.\u00a0La fuente de calor en la central nuclear es un\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-power-plant\/nuclear-reactor\/\"><strong><span>reactor nuclear<\/span><\/strong><\/a><span>\u00a0.\u00a0Como es t\u00edpico en todas las centrales t\u00e9rmicas convencionales, el calor se utiliza para generar\u00a0<\/span><a title=\"Propiedades de Steam - Qu\u00e9 es Steam\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-steam-propiedades-de-steam-definicion\/\"><span>vapor<\/span><\/a><span>\u00a0que impulsa una turbina de vapor conectada a un generador que produce electricidad.<\/span><\/p>\n<p><span>T\u00edpicamente, la mayor\u00eda de\u00a0<\/span><strong><span>las plantas de energ\u00eda nuclear<\/span><\/strong><span>\u00a0opera\u00a0<\/span><strong><span>turbinas de vapor de condensaci\u00f3n de etapas m\u00faltiples<\/span><\/strong><span>\u00a0.\u00a0En estas turbinas, la etapa de alta presi\u00f3n recibe\u00a0<\/span><a href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-steam-propiedades-de-steam-definicion\/\"><span>vapor<\/span><\/a><span>\u00a0(este vapor es vapor casi saturado &#8211; x = 0.995 &#8211; punto C en la figura;\u00a0<\/span><strong><span>6 MPa<\/span><\/strong><span>\u00a0; 275.6 \u00b0 C) desde un generador de vapor y lo expulsa al separador-recalentador de humedad (punto D )\u00a0El vapor debe recalentarse para evitar da\u00f1os que puedan ocasionar a las aspas de la turbina de vapor el vapor de\u00a0<\/span><a title=\"Calidad de vapor - Fracci\u00f3n de sequedad\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/materials-nuclear-engineering\/properties-steam-what-is-steam\/vapor-quality-dryness-fraction\/\"><span>baja calidad<\/span><\/a><span>\u00a0.\u00a0El recalentador calienta el vapor (punto D) y luego el vapor se dirige a la etapa de baja presi\u00f3n de la turbina de vapor, donde se expande (punto E a F).\u00a0El vapor agotado se condensa en el condensador y est\u00e1 a una presi\u00f3n muy por debajo de la atmosf\u00e9rica (presi\u00f3n absoluta de<\/span><strong><span>0.008 MPa<\/span><\/strong><span>\u00a0), y est\u00e1 en un estado parcialmente condensado (punto F), t\u00edpicamente de una calidad cercana al 90%.<\/span><\/p>\n<p><span>En este caso, los generadores de vapor, la turbina de vapor, los condensadores y las bombas de agua de alimentaci\u00f3n constituyen un motor t\u00e9rmico, sujeto a las limitaciones de eficiencia impuestas por la\u00a0<a title=\"Segunda ley de la termodin\u00e1mica\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-la-segunda-ley-de-la-termodinamica-definicion\/\"><strong>segunda ley de la termodin\u00e1mica<\/strong><\/a>\u00a0.\u00a0En el caso ideal (sin fricci\u00f3n, procesos reversibles, dise\u00f1o perfecto), este motor t\u00e9rmico tendr\u00eda una\u00a0<a title=\"Eficiencia de Carnot - Eficiencia de Carnot Heat Engine\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/second-law-of-thermodynamics\/carnot-efficiency-efficiency-of-carnot-heat-engine\/\">eficiencia<\/a>\u00a0de\u00a0<a title=\"Eficiencia de Carnot - Eficiencia de Carnot Heat Engine\" 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>fr\u00edo<\/span><\/sub><span>\u00a0\/ T\u00a0<\/span><sub><span>caliente<\/span><\/sub><span>\u00a0= 1 &#8211; 315\/549 = 42.6%<\/span><\/p>\n<p><span>donde la temperatura del dep\u00f3sito caliente es 275.6 \u00b0 C (548.7K), la temperatura del dep\u00f3sito fr\u00edo es 41.5 \u00b0 C (314.7K).\u00a0Pero la central nuclear es el\u00a0<\/span><strong><span>motor t\u00e9rmico real<\/span><\/strong><span>\u00a0, en el que los procesos termodin\u00e1micos son de alguna manera irreversibles.\u00a0No se hacen infinitamente lento.\u00a0En dispositivos reales (como turbinas, bombas y compresores) una fricci\u00f3n mec\u00e1nica y p\u00e9rdidas de calor causan p\u00e9rdidas adicionales de eficiencia.<\/span><\/p>\n<p><span>Para calcular la\u00a0<\/span><strong><span>eficiencia t\u00e9rmica<\/span><\/strong><span>\u00a0del\u00a0<\/span><strong><span>ciclo de Rankine<\/span><\/strong><span>\u00a0m\u00e1s simple\u00a0(sin recalentamiento), los ingenieros utilizan la\u00a0<\/span><a title=\"Primera ley en t\u00e9rminos de entalp\u00eda 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>primera ley de la termodin\u00e1mica en t\u00e9rminos de entalp\u00eda en<\/span><\/strong><\/a><span>\u00a0lugar de en t\u00e9rminos de energ\u00eda interna.<\/span><\/p>\n<p><span>La primera ley en t\u00e9rminos de entalp\u00eda es:<\/span><\/p>\n<p><em><strong><span>dH = dQ + Vdp<\/span><\/strong><\/em><\/p>\n<p><span>En esta ecuaci\u00f3n, el t\u00e9rmino\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0es un\u00a0<\/span><strong><span>proceso de flujo de trabajo.\u00a0<\/span><\/strong><span>Este trabajo, \u00a0\u00a0<\/span><strong><em><span>Vdp<\/span><\/em><\/strong><span>\u00a0, se utiliza para\u00a0<\/span><strong><span>sistemas de flujo abierto<\/span><\/strong><span>\u00a0como una\u00a0<\/span><strong><span>turbina<\/span><\/strong><span>\u00a0o una\u00a0<\/span><strong><span>bomba<\/span><\/strong><span>\u00a0en la que hay un\u00a0<\/span><strong><span>&#8220;dp&#8221;<\/span><\/strong><span>\u00a0, es decir, un cambio de presi\u00f3n.\u00a0No hay cambios en el\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/control-volume-control-volume-analysis\/\"><span>volumen de control<\/span><\/a><span>\u00a0.\u00a0Como puede verse, esta forma de ley\u00a0<\/span><strong><span>simplifica la descripci\u00f3n de la transferencia de energ\u00eda<\/span><\/strong><span>\u00a0.\u00a0<\/span><strong><span>A presi\u00f3n constante<\/span><\/strong><span>\u00a0, el\u00a0<\/span><strong><span>cambio de entalp\u00eda<\/span><\/strong><span>\u00a0es igual a la\u00a0<\/span><strong><span>energ\u00eda<\/span><\/strong><span>\u00a0transferida del ambiente a trav\u00e9s del calentamiento:<\/span><\/p>\n<p><strong><span>Proceso 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>En una entrop\u00eda constante<\/span><\/strong><span>\u00a0, es decir, en un proceso isentr\u00f3pico, el\u00a0<\/span><strong><span>cambio de entalp\u00eda<\/span><\/strong><span>\u00a0es igual al\u00a0<\/span><strong><span>trabajo del proceso de flujo<\/span><\/strong><span>\u00a0realizado en o por el sistema:<\/span><\/p>\n<p><strong><span>Proceso 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>Es obvio, ser\u00e1 muy \u00fatil en el an\u00e1lisis de los dos ciclos termodin\u00e1micos utilizados en la ingenier\u00eda de energ\u00eda, es decir, en el ciclo de Brayton y el ciclo de Rankine.<\/span><\/p>\n<p><span>La\u00a0<\/span><strong><span>entalp\u00eda<\/span><\/strong><span>\u00a0se puede convertir en una\u00a0variable\u00a0<\/span><strong><span>intensiva<\/span><\/strong><span>\u00a0o\u00a0<\/span><strong><span>espec\u00edfica<\/span><\/strong><span>\u00a0dividi\u00e9ndola por la\u00a0<\/span><a href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-mass-and-weight\/what-is-mass\/\"><span>masa<\/span><\/a><span>\u00a0.\u00a0<\/span><strong><span>Los ingenieros usan la\u00a0<\/span><\/strong><strong><span>entalp\u00eda espec\u00edfica<\/span><\/strong><span>\u00a0en el an\u00e1lisis termodin\u00e1mico m\u00e1s que la entalp\u00eda misma.\u00a0Se tabula en las\u00a0<\/span><a title=\"Tablas de vapor: propiedades espec\u00edficas del agua y el vapor\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/steam-tables\/\"><strong><span>tablas de vapor<\/span><\/strong><\/a><span>\u00a0junto con\u00a0<\/span><a title=\"\u00bfQu\u00e9 es el volumen espec\u00edfico?\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-specific-volume\/\"><span>un volumen\u00a0<\/span><\/a><a title=\"Energ\u00eda 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>\u00a0y\u00a0<a title=\"Energ\u00eda interna espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/internal-energy-thermal-energy\/specific-internal-energy\/\">una energ\u00eda interna espec\u00edfica<\/a>\u00a0.\u00a0La eficiencia t\u00e9rmica de dicho ciclo simple de Rankine y en t\u00e9rminos de entalp\u00edas espec\u00edficas ser\u00eda:<\/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=\"eficiencia t\u00e9rmica del ciclo de 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>Es una ecuaci\u00f3n muy simple y para determinar la eficiencia t\u00e9rmica puede usar datos de\u00a0<\/span><strong><span>tablas de vapor<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>En las centrales nucleares modernas, la eficiencia t\u00e9rmica general es de aproximadamente\u00a0<\/span><strong><span>un tercio<\/span><\/strong><span>\u00a0(33%), por lo\u00a0que se necesitan\u00a0<\/span><strong><span>3000 MWth<\/span><\/strong><span>\u00a0de energ\u00eda t\u00e9rmica de la reacci\u00f3n de fisi\u00f3n para generar\u00a0<\/span><strong><span>1000 MWe<\/span><\/strong><span>\u00a0de energ\u00eda el\u00e9ctrica.\u00a0La raz\u00f3n radica en una temperatura de vapor relativamente baja (\u00a0<\/span><strong><span>6 MPa<\/span><\/strong><span>\u00a0; 275.6 \u00b0 C).\u00a0Se pueden lograr mayores eficiencias aumentando la\u00a0<\/span><strong><span>temperatura<\/span><\/strong><span>del vapor\u00a0Pero esto requiere un aumento de las presiones dentro de las calderas o generadores de vapor.\u00a0Sin embargo, las consideraciones metal\u00fargicas ponen l\u00edmites superiores a tales presiones.\u00a0En comparaci\u00f3n con otras fuentes de energ\u00eda, la eficiencia t\u00e9rmica del 33% no es mucho.\u00a0Pero debe tenerse en cuenta que las centrales nucleares son mucho m\u00e1s complejas que las centrales de combustibles f\u00f3siles y es mucho m\u00e1s f\u00e1cil quemar combustibles f\u00f3siles que generar energ\u00eda a partir de combustibles nucleares.\u00a0Las plantas de energ\u00eda de combustible f\u00f3sil subcr\u00edtico, que funcionan bajo\u00a0<\/span><strong><span>presi\u00f3n cr\u00edtica<\/span><\/strong><span>\u00a0(es decir, por debajo de 22.1 MPa), pueden lograr una eficiencia 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\"><\/div>\n<\/div>\n<\/div>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>Este art\u00edculo se basa en la traducci\u00f3n autom\u00e1tica del art\u00edculo original en ingl\u00e9s. Para m\u00e1s informaci\u00f3n vea el art\u00edculo en ingl\u00e9s. Puedes ayudarnos. Si desea corregir la traducci\u00f3n, env\u00edela a: translations@nuclear-power.com o complete el formulario de traducci\u00f3n en l\u00ednea. Agradecemos su ayuda, actualizaremos la traducci\u00f3n lo antes posible. Gracias.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>C\u00e1lculo de la eficiencia t\u00e9rmica.\u00a0Para calcular la eficiencia t\u00e9rmica de los ciclos termodin\u00e1micos, los ingenieros utilizan la primera ley de la termodin\u00e1mica en t\u00e9rminos de entalp\u00eda.\u00a0Ingenieria termal C\u00e1lculo de eficiencia t\u00e9rmica Como resultado de esta declaraci\u00f3n, se define el\u00a0rendimiento t\u00e9rmico\u00a0,\u00a0\u03b7\u00a0\u00ba\u00a0, de cualquier motor t\u00e9rmico como la relaci\u00f3n entre el\u00a0trabajo\u00a0que hace,\u00a0W\u00a0, para el\u00a0calor\u00a0de entrada a la &#8230; <a title=\"\u00bfQu\u00e9 es el c\u00e1lculo de la eficiencia t\u00e9rmica? Definici\u00f3n\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/es\/que-es-el-calculo-de-la-eficiencia-termica-definicion\/\" aria-label=\"M\u00e1s en \u00bfQu\u00e9 es el c\u00e1lculo de la eficiencia t\u00e9rmica? Definici\u00f3n\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[16],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u00bfQu\u00e9 es el c\u00e1lculo de la eficiencia t\u00e9rmica? Definici\u00f3n<\/title>\n<meta name=\"description\" content=\"C\u00e1lculo de la eficiencia t\u00e9rmica. Para calcular la eficiencia t\u00e9rmica de los ciclos termodin\u00e1micos, los ingenieros utilizan la primera ley de la termodin\u00e1mica en t\u00e9rminos de entalp\u00eda. 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