{"id":602,"date":"2021-12-09T00:00:12","date_gmt":"2021-12-08T23:00:12","guid":{"rendered":"http:\/\/www.jureknawrocki.com\/?p=602"},"modified":"2026-03-14T08:13:15","modified_gmt":"2026-03-14T07:13:15","slug":"od-oplywu-rury-do-jej-naprezenia","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/od-oplywu-rury-do-jej-naprezenia\/","title":{"rendered":"Napr\u0119\u017cenie w ruroci\u0105gu przy op\u0142ywie powietrza"},"content":{"rendered":"<p>Wreszcie ! Ju\u017c jest technologia symulacji \u0142\u0105cz\u0105ca mechanik\u0119 p\u0142yn\u00f3w i napr\u0119\u017cenia. Sprawdzi\u0142em j\u0105 na prostym przyk\u0142adzie z bran\u017cy subsea. Pr\u0105d morski o pr\u0119dko\u015b\u0107 1 m\/s na dnie oceanu (400 m ) op\u0142ywa prostopadle rur\u0119 rozdzielacza gazu Dn 500. Z tego miejsca ju\u017c bliziutko do wyznaczenia cz\u0119stotliwo\u015bci w\u0142asnej oraz zbadania jak to si\u0119 ma do cz\u0119stotliwo\u015bci wir\u00f3w za rur\u0105, znaczy si\u0119 czy istnieje niebezpiecze\u0144stwo wpadania w rezonans.<\/p>\n<p>Ten projekt jest w trakcie spawania ale taka symulacja nie by\u0142a wtedy zrobiona. By\u0142y za to tylko szacunki w\/g DNV.<\/p>\n<p style=\"text-align: center;\"><strong>To jest model<\/strong><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1723\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-1.webp\" alt=\"\" width=\"534\" height=\"445\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-1.webp 534w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-1-480x400.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 534px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\">\n<p style=\"text-align: center;\"><b>To s\u0105 wyniki pr\u0119dko\u015bci z symulacji mechaniki p\u0142yn\u00f3w<\/b><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1722\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-2.webp\" alt=\"\" width=\"814\" height=\"535\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-2.webp 814w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-2-480x315.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 814px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\">\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1721\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-3.webp\" alt=\"\" width=\"859\" height=\"442\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-3.webp 859w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-3-480x247.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 859px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\"><b>I potem wyniki z mechaniki p\u0142yn\u00f3w by\u0142y danymi do symulacji napr\u0119\u017cenia<\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1719 aligncenter\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-5.webp\" alt=\"\" width=\"579\" height=\"463\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-5.webp 579w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-5-480x384.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 579px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1718\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-6.webp\" alt=\"\" width=\"580\" height=\"457\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-6.webp 580w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-6-480x378.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 580px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\">\n<p style=\"text-align: center;\"><b>\u00a0<\/b><\/p>","protected":false},"excerpt":{"rendered":"<p>Wreszcie ! Ju\u017c jest technologia symulacji \u0142\u0105cz\u0105ca mechanik\u0119 p\u0142yn\u00f3w i napr\u0119\u017cenia. Sprawdzi\u0142em j\u0105 na prostym przyk\u0142adzie z bran\u017cy subsea. Pr\u0105d morski o pr\u0119dko\u015b\u0107 1 m\/s na dnie oceanu (400 m ) op\u0142ywa prostopadle rur\u0119 rozdzielacza gazu Dn 500. Z tego miejsca ju\u017c bliziutko do wyznaczenia cz\u0119stotliwo\u015bci w\u0142asnej oraz zbadania jak to si\u0119 ma do cz\u0119stotliwo\u015bci [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":1725,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[123,125,15],"tags":[32,16,23],"class_list":["post-602","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-obliczenia-wytrzymalosciowe-rur-i-aparatow","category-mes","category-projekty","tag-mes","tag-naprezenia","tag-rurociagi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Napr\u0119\u017cenie w ruroci\u0105gu przy op\u0142ywie powietrza - 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\/od-oplywu-rury-do-jej-naprezenia\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Napr\u0119\u017cenie w ruroci\u0105gu przy op\u0142ywie powietrza - Jerzy Nawrocki\" \/>\n<meta property=\"og:description\" content=\"Wreszcie ! Ju\u017c jest technologia symulacji \u0142\u0105cz\u0105ca mechanik\u0119 p\u0142yn\u00f3w i napr\u0119\u017cenia. Sprawdzi\u0142em j\u0105 na prostym przyk\u0142adzie z bran\u017cy subsea. Pr\u0105d morski o pr\u0119dko\u015b\u0107 1 m\/s na dnie oceanu (400 m ) op\u0142ywa prostopadle rur\u0119 rozdzielacza gazu Dn 500. Z tego miejsca ju\u017c bliziutko do wyznaczenia cz\u0119stotliwo\u015bci w\u0142asnej oraz zbadania jak to si\u0119 ma do cz\u0119stotliwo\u015bci [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jureknawrocki.com\/en\/od-oplywu-rury-do-jej-naprezenia\/\" \/>\n<meta property=\"og:site_name\" content=\"Jerzy Nawrocki\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-08T23:00:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-14T07:13:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-11.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"433\" \/>\n\t<meta property=\"og:image:height\" content=\"369\" \/>\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\\\/od-oplywu-rury-do-jej-naprezenia\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/od-oplywu-rury-do-jej-naprezenia\\\/\"},\"author\":{\"name\":\"Jerzy Nawrocki\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#\\\/schema\\\/person\\\/b2567f392defa8e7698c6813f7930563\"},\"headline\":\"Napr\u0119\u017cenie w ruroci\u0105gu przy op\u0142ywie powietrza\",\"datePublished\":\"2021-12-08T23:00:12+00:00\",\"dateModified\":\"2026-03-14T07:13:15+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/od-oplywu-rury-do-jej-naprezenia\\\/\"},\"wordCount\":141,\"publisher\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/od-oplywu-rury-do-jej-naprezenia\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/jureknawrocki.com\\\/wp-content\\\/uploads\\\/Naprezenie-w-rurociagu-przy-oplywie-powietrza-11.webp\",\"keywords\":[\"MES\",\"Napr\u0119\u017cenia\",\"Ruroci\u0105gi\"],\"articleSection\":[\"Obliczenia wytrzyma\u0142o\u015bciowe rur i aparat\u00f3w\",\"Symulacje MES\",\"Z \u017cycia rzeczoznawcy\"],\"inLanguage\":\"en-GB\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/od-oplywu-rury-do-jej-naprezenia\\\/\",\"url\":\"https:\\\/\\\/jureknawrocki.com\\\/od-oplywu-rury-do-jej-naprezenia\\\/\",\"name\":\"Napr\u0119\u017cenie w ruroci\u0105gu przy op\u0142ywie powietrza - 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