{"id":1126,"date":"2023-05-11T11:59:52","date_gmt":"2023-05-11T16:59:52","guid":{"rendered":"https:\/\/dev.intermetperu.com\/?p=1126"},"modified":"2025-09-30T17:37:12","modified_gmt":"2025-09-30T22:37:12","slug":"21-piping-con-programas-de-simulacion","status":"publish","type":"post","link":"https:\/\/intermetperu.com\/en\/cursos-digitales\/21-piping-con-programas-de-simulacion\/","title":{"rendered":"PIPING (TUBERIAS) CON PROGRAMAS DE SIMULACI\u00d3N"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"1126\" class=\"elementor elementor-1126\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e5f90c7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-eae-slider=\"57088\" data-id=\"e5f90c7\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-c95580f\" data-eae-slider=\"34634\" data-id=\"c95580f\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-def1da9 elementor-widget elementor-widget-text-editor\" data-id=\"def1da9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 style=\"margin: 0px 0px 20px; padding: 0px; border: 0px; outline: 0px; vertical-align: baseline; line-height: normal;\"><span style=\"font-family: Oswald, Arial, sans-serif;\"><span style=\"font-size: 20px; letter-spacing: 0.2px;\">PIPING (TUBER\u00cdAS) CON PROGRAMAS DE SIMULACI\u00d3N<\/span><\/span><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c618c5 elementor-widget elementor-widget-image\" data-id=\"1c618c5\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"2000\" height=\"924\" src=\"https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping.jpg\" class=\"attachment-full size-full wp-image-1070\" alt=\"piping\" srcset=\"https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping.jpg 2000w, https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping-300x139.jpg 300w, https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping-1024x473.jpg 1024w, https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping-768x355.jpg 768w, https:\/\/intermetperu.com\/wp-content\/uploads\/2023\/05\/piping-1536x710.jpg 1536w\" sizes=\"(max-width: 2000px) 100vw, 2000px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-697fe76 elementor-widget elementor-widget-text-editor\" data-id=\"697fe76\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><\/p>\n<h4><b>TOPICS<\/b><\/h4>\n<h5>ECUACI\u00d3N GENERAL DE LA ENERG\u00cdA<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>P\u00e9rdidas y ganancias de energ\u00eda.<\/li>\n<li>Nomenclatura de las p\u00e9rdidas y ganancias de energ\u00eda.<\/li>\n<li>Ecuaci\u00f3n general de la energ\u00eda.<\/li>\n<li>Potencia que requieren las bombas.<\/li>\n<li>Potencia suministrada a motores de fiuido.<\/li>\n<li>Problemas.<\/li>\n<\/ul>\n<h5>NUMERO DE REYNOLDS, FLUJO LAMINAR, FLUJOTURBULENTO Y PERDIDAS DE ENERG\u00cdA DEBIDO A LA FRICCI\u00d3N<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>Numero de Reynolds.<\/li>\n<li>N\u00fameros de Reynolds cr\u00edticos.<\/li>\n<li>Ecuaci\u00f3n de Darcy.<\/li>\n<li>Perdida por fricci\u00f3n en el fiujo laminar.<\/li>\n<li>Perdida de fricci\u00f3n en el fiujo turbulento .<\/li>\n<li>Ecuaciones para el factor de fricci\u00f3n.<\/li>\n<li>Formula de Hazen-Williams para el flujo de agua.<\/li>\n<li>Otras formas de la f\u00f3rmula de Hazen-Williams .<\/li>\n<li>Nomograma para resolver la f\u00f3rmula de Hazen\u00ad Williams.<\/li>\n<li>Problemas.<\/li>\n<\/ul>\n<h5>P\u00c9RDIDAS MENORES<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>Coeficiente de resistencia.<\/li>\n<li>Expansi\u00f3n subita.<\/li>\n<li>Perdida en la salida.<\/li>\n<li>Expansi\u00f3n gradual.<\/li>\n<li>Contracci\u00f3n subita.<\/li>\n<li>Contracci\u00f3n gradual.<\/li>\n<li>Perdida en la entrada.<\/li>\n<li>Coeficientes de resistencia para v\u00e1lvulas y acoplamientos.<\/li>\n<li>Aplicaci\u00f3n de v\u00e1lvulas estandar.<\/li>\n<li>Vueltas de tuberia.<\/li>\n<li>Ca\u00edda de presi\u00f3n en v\u00e1lvulas de potencia de fiuidos .<\/li>\n<li>Coeficientes de fiujo para v\u00e1lvulas, por medio del Cv.<\/li>\n<li>V\u00e1lvulas de plastico.<\/li>\n<li>An\u00e1lisis asistido por computadora y ejercicios de dise\u00f1o.<\/li>\n<\/ul>\n<h5>SISTEMAS DE TUBER\u00cdAS EN SERIE<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos .<\/li>\n<li>Sistemas de clase l.<\/li>\n<li>Soluci\u00f3n de problemas de clase 1, con ayuda de una hoja de c\u00e1lculo.<\/li>\n<li>Sistemas de clase 11.<\/li>\n<li>Sistemas de clase 111.<\/li>\n<li>Dise\u00f1o de tuber\u00edas para la integridad estructural.<\/li>\n<\/ul>\n<h5>SISTEMAS DE TUBER\u00cdAS EN SERIE<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>Sistemas con dos ramas.<\/li>\n<li>Sistemas con tres o m\u00e1s ramas (redes).<\/li>\n<li>Problemas.<\/li>\n<\/ul>\n<h5>SELECCI\u00d3N Y APLICACI\u00d3N DE BOMBAS<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>Parametros involucrados en la selecci\u00f3n de bombas.<\/li>\n<li>Tipos de bombas .<\/li>\n<li>Bombas de desplazamiento positivo.<\/li>\n<li>Bombas cin\u00e9ticas.<\/li>\n<li>Datos de rendimiento de bombas centrifugas.<\/li>\n<li>Leyes de afinidad para bombas centrifugas.<\/li>\n<li>Datos del fabricante de bombas centrifugas.<\/li>\n<li>El punto de operaci\u00f3n de una bomba y la selecci\u00f3n de esta.<\/li>\n<li>Carga de succi\u00f3n neta positiva.<\/li>\n<li>Detalles de la l\u00ednea de succi\u00f3n.<\/li>\n<li>Detalles en la l\u00ednea de descarga .<\/li>\n<li>Dise\u00f1o de sistemas de tuber\u00eda y procedimiento de selecci\u00f3n de bombas.<\/li>\n<li>Modos de operaci\u00f3n de sistemas alternos .<\/li>\n<li>Selecci\u00f3n de la bomba y velocidad especifica.<\/li>\n<li>Costos del ciclo de vida para sistemas de bombeo de fiuidos .<\/li>\n<li>Problemas.<\/li>\n<\/ul>\n<h5>VENTILADORES, SOPLADORES, COMPRESORES Y EL FLUJO DE LOS GASES<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos.<\/li>\n<li>Flujos volum\u00e9tricos y presiones de los gases.<\/li>\n<li>Clasificaci\u00f3n de los ventiladores, sopladores y compresores.<\/li>\n<li>Flujo de aire comprimido y otros gases en tubos.<\/li>\n<li>Flujo de aire y otros gases a trav\u00e9s de las boquillas.<\/li>\n<li>Referencias.<\/li>\n<li>Problemas.<\/li>\n<\/ul>\n<p>Ejercicios de programaci\u00f3n de computadoras.<\/p>\n<h5>FLUJO DE AIRE EN DUCTOS<\/h5>\n<ul>\n<li>Panorama.<\/li>\n<li>Objetivos .<\/li>\n<li>Flujos volum\u00e9tricos y presiones de los gases.<\/li>\n<li>Clasificaci\u00f3n de los ventiladores, sopladores y compresores.<\/li>\n<li>Flujo de aire comprimido y otros gases en tubos.<\/li>\n<li>Flujo de aire y otros gases a trav\u00e9s de las boquillas.<\/li>\n<li>Referencias.<\/li>\n<li>Problemas.<\/li>\n<li>Ejercicios de programaci\u00f3n de computadoras.<\/li>\n<\/ul>\n<h3><b>PROGRAMAS DE SIMULACI\u00d3N A USAR: HYDROFLO 3 , KORF HYDRAULICS Y PIPE FLOW EXPERT<\/b><\/h3>\n<h4><b>INSTRUCTOR<\/b><\/h4>\n<h5>Ing. CARLOS DE LA TORRE VIVAR<\/h5>\n<p>Ingeniero Qu\u00edmico, con m\u00e1s de 15 a\u00f1os de experiencia profesional. Graduado de las Facultades de Qu\u00edmica e Ingenier\u00eda Qu\u00edmica de las universidades Cat\u00f3lica y de Ingenier\u00eda (Lima, Per\u00fa) respectivamente. Mag\u00edster en Qu\u00edmica (PUCP) y Mag\u00edster en Ingenier\u00eda Qu\u00edmica (UNI).y actualmente haciendo estudios de doctorado en Ingenier\u00eda Qu\u00edmica. Asimismo ha seguido diferentes cursos que complementan y actualizan sus conocimientos te\u00f3rico-pr\u00e1cticos en la materia.<\/p>\n<p>Conocimientos de electr\u00f3nica digital y computaci\u00f3n. Amplios conocimientos de Software de Simulaci\u00f3n: Super Prodesigner, Chemcad, Aspen Plus, Hisys,Mathlab, Simulink, Modsim, LIMM , JKSimmet , Software de Aplicaci\u00f3n: Microsoft Office XP, Auto Cad, Lenguaje C, Visual Basic, Pascal, Corel, flash, PhotoShop, etc.<\/p>\n<p>Amplia experiencia como Leader de dise\u00f1o de procesos mineros e industriales, habiendo desarrollado y dirigido los dise\u00f1os en su especialidad para los proyectos ejecutados por las compa\u00f1\u00edas mineras: Antamina, Buenaventura, El Brocal, Shougang, entre otras. Experiencia en instrumentaci\u00f3n qu\u00edmica y desarrollo de proyectos. Analista qu\u00edmico con experiencia en procesos industriales de fabricaci\u00f3n de cal, cemento, ladrillos, morteros, concreto; as\u00ed como procesos metal\u00fargicos en aspectos relevantes a dise\u00f1o de procesos, control de calidad, combusti\u00f3n, an\u00e1lisis de materias primas y mezclas. Conocimiento pr\u00e1ctico de la gesti\u00f3n de proyectos bajo el PMP (Project Management Professional), especialmente en proyectos minero metal\u00fargico.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-08dfaa5\" data-eae-slider=\"77172\" data-id=\"08dfaa5\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-822d177 elementor-widget elementor-widget-heading\" data-id=\"822d177\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">INVERSI\u00d3N USD 180<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f374dcf elementor-widget elementor-widget-heading\" data-id=\"f374dcf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u00bfC\u00f3mo acceder al curso?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d1fe174 elementor-widget elementor-widget-text-editor\" data-id=\"d1fe174\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Paso 1:<\/strong><\/p><p>Realiza el pago Web<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-37f6e82 elementor-widget elementor-widget-button\" data-id=\"37f6e82\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/pagolink.niubiz.com.pe\/pagoseguro\/INTERMET\/913639\/info\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-credit-card\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Comprar USD 180<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f0cdf5 elementor-widget elementor-widget-text-editor\" data-id=\"4f0cdf5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Paso 2:<\/strong><\/p><p>Completa el formulario y adjunta tu comprobante<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2cd8b4a elementor-widget elementor-widget-button\" data-id=\"2cd8b4a\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/forms.gle\/Ks7As8KTQhMZ5Wt36\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fab fa-wpforms\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Registra tu pago<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9385e0d elementor-widget elementor-widget-text-editor\" data-id=\"9385e0d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Paso 3:<\/strong><\/p><p>Procederemos a enviarte un correo con los enlaces de descarga del curso.<\/p><p><b>El material es grabado.<\/b><\/p><p><b><span style=\"background-color: transparent;\">I<\/span><span style=\"background-color: transparent;\">ncluye:<\/span><\/b><\/p><ul><li>Grabaci\u00f3n en formato MP4<\/li><li>Material de trabajo<\/li><li>Certificado digital de participaci\u00f3n<\/li><\/ul><div>\u00a0<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3c69d03 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"3c69d03\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7334ee8 elementor-widget elementor-widget-heading\" data-id=\"7334ee8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Si tienes alguna consulta, escr\u00edbenos:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aaef15c elementor-align-center elementor-widget elementor-widget-button\" data-id=\"aaef15c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/wa.link\/nqku2f\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fab fa-whatsapp\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">ATENCI\u00d3N AL CLIENTE<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-f8ca08e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-eae-slider=\"48730\" data-id=\"f8ca08e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cd8b52b\" data-eae-slider=\"78238\" data-id=\"cd8b52b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>PIPING (TUBER\u00cdAS) CON PROGRAMAS DE SIMULACI\u00d3N TEMARIO ECUACI\u00d3N GENERAL DE LA ENERG\u00cdA Panorama. Objetivos. P\u00e9rdidas y ganancias de energ\u00eda. Nomenclatura de las p\u00e9rdidas y ganancias de energ\u00eda. Ecuaci\u00f3n general de la energ\u00eda. Potencia que requieren las bombas. Potencia suministrada a motores de fiuido. Problemas. NUMERO DE REYNOLDS, FLUJO LAMINAR, FLUJOTURBULENTO Y PERDIDAS DE ENERG\u00cdA DEBIDO [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[6],"tags":[],"class_list":["post-1126","post","type-post","status-publish","format-standard","hentry","category-cursos-digitales"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>PIPING (TUBERIAS) CON PROGRAMAS DE SIMULACI\u00d3N - Intermetperu<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/intermetperu.com\/en\/cursos-digitales\/21-piping-con-programas-de-simulacion\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PIPING (TUBERIAS) CON PROGRAMAS DE SIMULACI\u00d3N - Intermetperu\" \/>\n<meta property=\"og:description\" content=\"PIPING (TUBER\u00cdAS) CON PROGRAMAS DE SIMULACI\u00d3N TEMARIO ECUACI\u00d3N GENERAL DE LA ENERG\u00cdA Panorama. Objetivos. P\u00e9rdidas y ganancias de energ\u00eda. Nomenclatura de las p\u00e9rdidas y ganancias de energ\u00eda. Ecuaci\u00f3n general de la energ\u00eda. Potencia que requieren las bombas. Potencia suministrada a motores de fiuido. Problemas. 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