{"id":2301,"date":"2024-04-25T17:19:42","date_gmt":"2024-04-25T15:19:42","guid":{"rendered":"https:\/\/jureknawrocki.com\/?p=2301"},"modified":"2026-03-14T08:08:07","modified_gmt":"2026-03-14T07:08:07","slug":"symulacja-wymiany-ciepla-rurociagu-izolowanego","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/","title":{"rendered":"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego"},"content":{"rendered":"[et_pb_section admin_label=&#8221;section&#8221;]\n\t\t\t[et_pb_row admin_label=&#8221;row&#8221;]\n\t\t\t\t[et_pb_column type=&#8221;4_4&#8243;][et_pb_text admin_label=&#8221;Text&#8221;]\n<p><\/p>\n\n\n\n<p class=\"has-small-font-size\">Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10&#8242;) z kompensacj\u0105 o d\u0142ugo\u015bci 56m.   <\/p>\n\n\n\n<p class=\"has-small-font-size\">Wykonano symulacj\u0119 ruroci\u0105gu po\u0142o\u017conego na zewn\u0105trz na estakadzie. Temperatura pracy 350C. Izolacja to we\u0142na mineralna o grubo\u015bci 100 mm, kt\u00f3rej wsp\u00f3\u0142czynnik przewodzenia ciep\u0142a jest silnie zale\u017cny od temperatury. U\u017cyto danych systemu otulin produkcji Rockwool. Medium to ciecz.  <\/p>\n\n\n\n<p class=\"has-small-font-size\">Jak wiadomo wyznaczenie temperatury wody na ko\u0144cu d\u0142ugiego ruroci\u0105gu mo\u017cna by\u0142o kiedy\u015b obliczy\u0107 bardzo pracoch\u0142onn\u0105 w tym wypadku metod\u0105 kolejnych przybli\u017ce\u0144. Po zastosowaniu symulacji MES i <strong><em>zastosowaniu w\u0142a\u015bciwych warunk\u00f3w brzegowych<\/em><\/strong> jest to w miar\u0119 proste, cho\u0107 symulacja trwa godzinami.  <\/p>\n\n\n\n<p class=\"has-small-font-size\">Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10&#8242;) z kompensacj\u0105 o d\u0142ugo\u015bci 56m. Wykonano mo\u017ce troch\u0119 za du\u017c\u0105 ilo\u015b\u0107 iteracji bo wida\u0107 na ostatnim wykresie, \u017ce po 160 sekundach temperatura si\u0119 ustali\u0142a.<\/p>\n\n\n\n<p class=\"has-small-font-size\">Co z tej symulacji mo\u017cna si\u0119 dowiedzie\u0107 ? Mianowicie to, \u017ce skuteczno\u015b\u0107 izolacji jest zaskakuj\u0105co wysoka.    <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"564\" height=\"377\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-1.webp\" alt=\"\" class=\"wp-image-2310\" style=\"width:823px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-1.webp 564w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-1-480x321.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 564px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"368\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-2.webp\" alt=\"\" class=\"wp-image-2314\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-2.webp 557w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-2-480x317.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 557px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"656\" height=\"413\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-3.webp\" alt=\"\" class=\"wp-image-2313\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-3.webp 656w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-3-480x302.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 656px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"389\" height=\"241\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-4.webp\" alt=\"\" class=\"wp-image-2312\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-4.webp 389w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-4-300x186.webp 300w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-4-18x12.webp 18w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure>\n[\/et_pb_text][\/et_pb_column]\n\t\t\t[\/et_pb_row]\n\t\t[\/et_pb_section]","protected":false},"excerpt":{"rendered":"<p>Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10&#8242;) z kompensacj\u0105 o d\u0142ugo\u015bci 56m. Wykonano symulacj\u0119 ruroci\u0105gu po\u0142o\u017conego na zewn\u0105trz na estakadzie. Temperatura pracy 350C. Izolacja to we\u0142na mineralna o grubo\u015bci 100 mm, kt\u00f3rej wsp\u00f3\u0142czynnik przewodzenia ciep\u0142a jest silnie zale\u017cny od temperatury. U\u017cyto danych systemu otulin produkcji Rockwool. Medium to ciecz. Jak wiadomo wyznaczenie temperatury wody [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2311,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<!-- wp:paragraph -->\n<p><\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph {\"fontSize\":\"small\"} -->\n<p class=\"has-small-font-size\">Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10') z kompensacj\u0105 o d\u0142ugo\u015bci 56m.   <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph {\"fontSize\":\"small\"} -->\n<p class=\"has-small-font-size\">Wykonano symulacj\u0119 ruroci\u0105gu po\u0142o\u017conego na zewn\u0105trz na estakadzie. Temperatura pracy 350C. Izolacja to we\u0142na mineralna o grubo\u015bci 100 mm, kt\u00f3rej wsp\u00f3\u0142czynnik przewodzenia ciep\u0142a jest silnie zale\u017cny od temperatury. U\u017cyto danych systemu otulin produkcji Rockwool. Medium to ciecz.  <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph {\"fontSize\":\"small\"} -->\n<p class=\"has-small-font-size\">Jak wiadomo wyznaczenie temperatury wody na ko\u0144cu d\u0142ugiego ruroci\u0105gu mo\u017cna by\u0142o kiedy\u015b obliczy\u0107 bardzo pracoch\u0142onn\u0105 w tym wypadku metod\u0105 kolejnych przybli\u017ce\u0144. Po zastosowaniu symulacji MES i <strong><em>zastosowaniu w\u0142a\u015bciwych warunk\u00f3w brzegowych<\/em><\/strong> jest to w miar\u0119 proste, cho\u0107 symulacja trwa godzinami.  <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph {\"fontSize\":\"small\"} -->\n<p class=\"has-small-font-size\">Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10') z kompensacj\u0105 o d\u0142ugo\u015bci 56m. Wykonano mo\u017ce troch\u0119 za du\u017c\u0105 ilo\u015b\u0107 iteracji bo wida\u0107 na ostatnim wykresie, \u017ce po 160 sekundach temperatura si\u0119 ustali\u0142a.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph {\"fontSize\":\"small\"} -->\n<p class=\"has-small-font-size\">Co z tej symulacji mo\u017cna si\u0119 dowiedzie\u0107 ? Mianowicie to, \u017ce skuteczno\u015b\u0107 izolacji jest zaskakuj\u0105co wysoka.    <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:image {\"id\":2310,\"width\":\"823px\",\"height\":\"auto\",\"sizeSlug\":\"full\",\"linkDestination\":\"none\"} -->\n<figure class=\"wp-block-image size-full is-resized\"><img src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-1.webp\" alt=\"\" class=\"wp-image-2310\" style=\"width:823px;height:auto\"\/><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:image {\"id\":2314,\"sizeSlug\":\"full\",\"linkDestination\":\"none\"} -->\n<figure class=\"wp-block-image size-full\"><img src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-2.webp\" alt=\"\" class=\"wp-image-2314\"\/><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:image {\"id\":2313,\"sizeSlug\":\"full\",\"linkDestination\":\"none\"} -->\n<figure class=\"wp-block-image size-full\"><img src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-3.webp\" alt=\"\" class=\"wp-image-2313\"\/><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:image {\"id\":2312,\"sizeSlug\":\"full\",\"linkDestination\":\"none\"} -->\n<figure class=\"wp-block-image size-full\"><img src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-4.webp\" alt=\"\" class=\"wp-image-2312\"\/><\/figure>\n<!-- \/wp:image -->","_et_gb_content_width":"","footnotes":""},"categories":[125,15],"tags":[32],"class_list":["post-2301","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mes","category-projekty","tag-mes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego - Jerzy Nawrocki<\/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:\/\/jureknawrocki.com\/en\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego - Jerzy Nawrocki\" \/>\n<meta property=\"og:description\" content=\"Poni\u017cej wygl\u0105d ca\u0142ego modelu odcinak rury DN250 (10&#039;) z kompensacj\u0105 o d\u0142ugo\u015bci 56m. Wykonano symulacj\u0119 ruroci\u0105gu po\u0142o\u017conego na zewn\u0105trz na estakadzie. Temperatura pracy 350C. Izolacja to we\u0142na mineralna o grubo\u015bci 100 mm, kt\u00f3rej wsp\u00f3\u0142czynnik przewodzenia ciep\u0142a jest silnie zale\u017cny od temperatury. U\u017cyto danych systemu otulin produkcji Rockwool. Medium to ciecz. Jak wiadomo wyznaczenie temperatury wody [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jureknawrocki.com\/en\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/\" \/>\n<meta property=\"og:site_name\" content=\"Jerzy Nawrocki\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-25T15:19:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-14T07:08:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-5.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"328\" \/>\n\t<meta property=\"og:image:height\" content=\"348\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Jerzy Nawrocki\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jerzy Nawrocki\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/\"},\"author\":{\"name\":\"Jerzy Nawrocki\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#\\\/schema\\\/person\\\/b2567f392defa8e7698c6813f7930563\"},\"headline\":\"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego\",\"datePublished\":\"2024-04-25T15:19:42+00:00\",\"dateModified\":\"2026-03-14T07:08:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/\"},\"wordCount\":208,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/jureknawrocki.com\\\/wp-content\\\/uploads\\\/Izolacja-Uksztalt-5.webp\",\"keywords\":[\"MES\"],\"articleSection\":[\"Symulacje MES\",\"Z \u017cycia rzeczoznawcy\"],\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/\",\"url\":\"https:\\\/\\\/jureknawrocki.com\\\/symulacja-wymiany-ciepla-rurociagu-izolowanego\\\/\",\"name\":\"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego - 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Wykonano symulacj\u0119 ruroci\u0105gu po\u0142o\u017conego na zewn\u0105trz na estakadzie. Temperatura pracy 350C. Izolacja to we\u0142na mineralna o grubo\u015bci 100 mm, kt\u00f3rej wsp\u00f3\u0142czynnik przewodzenia ciep\u0142a jest silnie zale\u017cny od temperatury. U\u017cyto danych systemu otulin produkcji Rockwool. Medium to ciecz. Jak wiadomo wyznaczenie temperatury wody [&hellip;]","og_url":"https:\/\/jureknawrocki.com\/en\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/","og_site_name":"Jerzy Nawrocki","article_published_time":"2024-04-25T15:19:42+00:00","article_modified_time":"2026-03-14T07:08:07+00:00","og_image":[{"width":328,"height":348,"url":"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-5.webp","type":"image\/webp"}],"author":"Jerzy Nawrocki","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Jerzy Nawrocki","Estimated reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/#article","isPartOf":{"@id":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/"},"author":{"name":"Jerzy Nawrocki","@id":"https:\/\/jureknawrocki.com\/#\/schema\/person\/b2567f392defa8e7698c6813f7930563"},"headline":"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego","datePublished":"2024-04-25T15:19:42+00:00","dateModified":"2026-03-14T07:08:07+00:00","mainEntityOfPage":{"@id":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/"},"wordCount":208,"commentCount":0,"publisher":{"@id":"https:\/\/jureknawrocki.com\/#organization"},"image":{"@id":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/#primaryimage"},"thumbnailUrl":"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Izolacja-Uksztalt-5.webp","keywords":["MES"],"articleSection":["Symulacje MES","Z \u017cycia rzeczoznawcy"],"inLanguage":"en-GB","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/","url":"https:\/\/jureknawrocki.com\/symulacja-wymiany-ciepla-rurociagu-izolowanego\/","name":"Symulacja wymiany ciep\u0142a ruroci\u0105gu izolowanego - 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