{"id":101997,"date":"2024-07-25T19:26:28","date_gmt":"2024-07-25T17:26:28","guid":{"rendered":"https:\/\/www.linseis.com\/metody-analizy-termicznej\/metoda-3-omega\/"},"modified":"2026-01-16T10:18:39","modified_gmt":"2026-01-16T09:18:39","slug":"metoda-3-omega","status":"publish","type":"page","link":"https:\/\/www.linseis.com\/pl\/metody-analizy-termicznej\/metoda-3-omega\/","title":{"rendered":"Metoda 3 Omega"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"101997\" class=\"elementor elementor-101997 elementor-21533\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a3549cf e-flex e-con-boxed e-con e-parent\" data-id=\"a3549cf\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ac41c94 elementor-widget elementor-widget-image\" data-id=\"ac41c94\" data-element_type=\"widget\" data-e-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 decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-top-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\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<div class=\"elementor-element elementor-element-a7b7feb e-con-full e-flex e-con e-child\" data-id=\"a7b7feb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-6100945 e-con-full e-flex e-con e-child\" data-id=\"6100945\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc1182c elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"cc1182c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:250}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\"><b>\n\nMetoda 3 Omega\n\n<\/b><\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6d91a43 e-con-full e-flex e-con e-child\" data-id=\"6d91a43\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9413374 elementor-widget elementor-widget-n-carousel\" data-id=\"9413374\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;carousel_items&quot;:[{&quot;slide_title&quot;:&quot;Produkt 1&quot;,&quot;_id&quot;:&quot;d6fbcdb&quot;}],&quot;slides_to_show&quot;:&quot;1&quot;,&quot;slides_to_scroll&quot;:&quot;2&quot;,&quot;autoplay_speed&quot;:2000,&quot;slides_to_show_tablet&quot;:&quot;1&quot;,&quot;slides_to_show_mobile&quot;:&quot;1&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;pause_on_hover&quot;:&quot;yes&quot;,&quot;pause_on_interaction&quot;:&quot;yes&quot;,&quot;infinite&quot;:&quot;yes&quot;,&quot;speed&quot;:500,&quot;offset_sides&quot;:&quot;none&quot;,&quot;image_spacing_custom&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;image_spacing_custom_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;image_spacing_custom_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-carousel.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-carousel swiper\" role=\"region\" aria-roledescription=\"carousel\" aria-label=\"Karussell\" dir=\"ltr\">\n\t\t\t<div class=\"swiper-wrapper\" aria-live=\"off\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"swiper-slide\" data-slide=\"1\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"1 of 1\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44441f5 e-flex e-con-boxed e-con e-child\" data-id=\"44441f5\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3fdf52d elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"3fdf52d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-1024x1024.png\" class=\"attachment-large size-large wp-image-36272\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-1024x1024.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-300x300.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-150x150.png 150w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-768x768.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-1536x1536.png 1536w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-87-2048x2048.png 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\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\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4a6800 elementor-widget elementor-widget-image\" data-id=\"b4a6800\" data-element_type=\"widget\" data-e-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 decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-bottom-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\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\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7c8d6cc e-flex e-con-boxed e-con e-parent\" data-id=\"7c8d6cc\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d7b7522 e-flex e-con-boxed e-con e-parent\" data-id=\"d7b7522\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-449b6fd e-con-full e-flex e-con e-child\" data-id=\"449b6fd\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-031217d elementor-invisible elementor-widget elementor-widget-wp-widget-bcn_widget\" data-id=\"031217d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"wp-widget-bcn_widget.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"breadcrumbs\" vocab=\"https:\/\/schema.org\/\" typeof=\"BreadcrumbList\"><span property=\"itemListElement\" typeof=\"ListItem\"><a property=\"item\" typeof=\"WebPage\" title=\"Przejd\u017a do Linseis.\" href=\"https:\/\/www.linseis.com\/pl\/\" class=\"home\" aria-current=\"page\"><span property=\"name\">Linseis<\/span><\/a><meta property=\"position\" content=\"1\"><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-ed98f58 e-flex e-con-boxed e-con e-parent\" data-id=\"ed98f58\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-bbc47b3 e-con-full e-flex e-con e-child\" data-id=\"bbc47b3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-71a1ec4 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"71a1ec4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" 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<h2>3 Metoda Omega\n&#8211; podej\u015bcie do pomiaru przewodno\u015bci cieplnej<\/h2>\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-32d9053 elementor-widget elementor-widget-text-editor\" data-id=\"32d9053\" data-element_type=\"widget\" data-e-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>Powszechnie stosowan\u0105 metod\u0105 pomiaru przewodno\u015bci cieplnej jest metoda 3\u03c9. Chocia\u017c metoda ta zosta\u0142a pierwotnie opracowana do pomiaru przewodno\u015bci cieplnej materia\u0142\u00f3w sta\u0142ych, podstawow\u0105 zasad\u0119 mo\u017cna p\u00f3\u017aniej zastosowa\u0107 r\u00f3wnie\u017c do charakterystyki termicznej cienkich warstw.<strong>\n  <a href=\"https:\/\/www.linseis.com\/messgeraete\/elektrische-eigenschaft\/duennschichtanalyse\/\"> Charakterystyka termiczna cienkich warstw o grubo\u015bci do<\/a>\n<\/strong> do kilku nm grubo\u015bci. <\/p><p>Ponadto, metoda 3\u03c9 zosta\u0142a r\u00f3wnie\u017c rozszerzona na pomiar warstw anizotropowych i membran wolnostoj\u0105cych, aby umo\u017cliwi\u0107 charakterystyk\u0119 zale\u017cn\u0105 od kierunku, tj. pomiar przewodno\u015bci cieplnej w p\u0142aszczy\u017anie i prostopadle do niej. Og\u00f3lnie mo\u017cna powiedzie\u0107, \u017ce technika ta jest obecnie jedn\u0105 z najpopularniejszych i najszerzej stosowanych metod charakteryzowania w\u0142a\u015bciwo\u015bci transportu termicznego cienkich warstw. <\/p><p><img decoding=\"async\" class=\"wp-image-21558 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Experimental-setup-incl.-metal-line-for-heatingsensing-for-the-3-Omega-technique-1024x392-1.png\" alt=\"Konfiguracja eksperymentalna (w tym liniowe metalowe paski do ogrzewania\/pomiaru temperatury) dla techniki 3-omega\" width=\"1024\" height=\"392\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Experimental-setup-incl.-metal-line-for-heatingsensing-for-the-3-Omega-technique-1024x392-1.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Experimental-setup-incl.-metal-line-for-heatingsensing-for-the-3-Omega-technique-1024x392-1-300x115.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Experimental-setup-incl.-metal-line-for-heatingsensing-for-the-3-Omega-technique-1024x392-1-768x294.png 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>  Konfiguracja eksperymentalna (w tym liniowe metalowe paski do ogrzewania\/pomiaru temperatury) dla techniki 3-omega[\/caption]<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8801439 e-flex e-con-boxed elementor-invisible e-con e-parent\" data-id=\"8801439\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4fda86f e-con-full e-flex e-con e-child\" data-id=\"4fda86f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-fe6d621 elementor-widget elementor-widget-text-editor\" data-id=\"fe6d621\" data-element_type=\"widget\" data-e-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>W metodzie 3\u03c9 cienki metalowy pasek, kt\u00f3ry jest w kontakcie termicznym z pr\u00f3bk\u0105, s\u0142u\u017cy zar\u00f3wno jako grzejnik, jak i czujnik temperatury. Do pomiaru wykorzystywany jest pr\u0105d zmienny I(t) <br><img decoding=\"async\" class=\"alignnone size-full wp-image-21568\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/ac-current-300x74-1.png\" alt=\"pr\u0105d przemienny\" width=\"300\" height=\"74\"><\/p><p>o cz\u0119stotliwo\u015bci k\u0105towej \u03c9 i amplitudzie <sub>I0<\/sub> jest wprowadzana do grzejnika, przy czym moc grzewcza P(t) jest generowana przez ogrzewanie Joula,<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21576\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/heating-source-power-300x67-1.png\" alt=\"\u0179r\u00f3d\u0142o ogrzewania\" width=\"300\" height=\"67\"><\/p><p>kt\u00f3ry z kolei moduluje temperatur\u0119 grza\u0142ki w postaci<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21583\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/temperature-Rh-300x71-1.png\" alt=\"temperatura wilgotno\u015b\u0107 wzgl\u0119dna\" width=\"300\" height=\"71\"><\/p><p>i w rezultacie oscylacj\u0119 rezystancji grza\u0142ki<sub>Rh<\/sub><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21590\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Rh-300x65-1.png\" alt=\"Rh\" width=\"300\" height=\"65\"><\/p><p>przy cz\u0119stotliwo\u015bci k\u0105towej 2\u03c9. Tutaj \u03b2 jest wsp\u00f3\u0142czynnikiem temperaturowym rezystancji metalowego paska. <\/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-34d74a1 elementor-widget elementor-widget-text-editor\" data-id=\"34d74a1\" data-element_type=\"widget\" data-e-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>W odniesieniu do cz\u0119stotliwo\u015bci, pozycja fazowa \u03c6 zale\u017cy teraz zar\u00f3wno od geometrii elementu grzejnego, jak i od w\u0142a\u015bciwo\u015bci fizycznych materia\u0142\u00f3w bazowych.<\/p><p>Je\u015bli wi\u0119c zmierzymy spadek napi\u0119cia na grza\u0142ce, otrzymamy (zgodnie z prawem Ohma U = R x I) modulowany amplitudowo sygna\u0142 napi\u0119ciowy, kt\u00f3ry ma niewielki sk\u0142adnik trzeciej harmonicznej oscylacji 3\u03c9, kt\u00f3ry mo\u017cna wyodr\u0119bni\u0107 za pomoc\u0105 wzmacniacza lock-in i kt\u00f3ry zawiera informacje o podstawowych materia\u0142ach.<\/p><p>Do obliczenia <strong>\n  <a href=\"https:\/\/www.linseis.com\/pl\/?page_id=101964\">przewodno\u015bci cieplnej<\/a>\n<\/strong> pr\u00f3bki, jak r\u00f3wnie\u017c obliczenia <strong>\n  <a href=\"https:\/\/www.linseis.com\/pl\/?page_id=101958\">pojemno\u015bci cieplnej w\u0142a\u015bciwej<\/a>\n<\/strong>nale\u017cy rozwi\u0105za\u0107 tylko r\u00f3wnanie dyfuzji ciep\u0142a, kt\u00f3re zale\u017cy od konfiguracji eksperymentalnej.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a0a9aac e-con-full e-flex e-con e-child\" data-id=\"a0a9aac\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-53ea4ef elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"53ea4ef\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" 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<h2>Podej\u015bcie r\u00f3\u017cnicowe 3 Omega z dwoma pomiarami<\/h2>\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-d38f832 elementor-widget elementor-widget-text-editor\" data-id=\"d38f832\" data-element_type=\"widget\" data-e-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>Powszechnie stosowane podej\u015bcie oparte na metodzie 3\u03c9 do charakteryzacji <strong>\n  <a href=\"https:\/\/www.linseis.com\/messgeraete\/elektrische-eigenschaft\/duennschichtanalyse\/\">cienkiej warstwy<\/a>\n<\/strong> na pod\u0142o\u017cu obj\u0119to\u015bciowym jest tak zwana metoda r\u00f3\u017cnicowa 3 Omega z dwoma pomiarami.<\/p><p>Pierwszy pomiar odbywa si\u0119 na go\u0142ym pod\u0142o\u017cu, a drugi pomiar obejmuje mierzon\u0105 warstw\u0119.<\/p><p>Folia dzia\u0142a jak dodatkowy rezystor termiczny, kt\u00f3ry jest po\u0142\u0105czony szeregowo mi\u0119dzy grza\u0142k\u0105 a pod\u0142o\u017cem. Zapewnia to wzrost amplitudy oscylacji temperatury w por\u00f3wnaniu z pomiarem bez cienkiej folii. <\/p><p>Przewodno\u015b\u0107 ciepln\u0105 warstwy mo\u017cna okre\u015bli\u0107 na podstawie tego wzrostu, korzystaj\u0105c z prawa Fouriera:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21603\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/thermal-conductivity-fouriers-law.png\" alt=\"Prawo Fouriera\" width=\"283\" height=\"97\"><\/p><p>gdzie w i l oznaczaj\u0105 szeroko\u015b\u0107 i d\u0142ugo\u015b\u0107 grzejnika.<\/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-580942e elementor-widget elementor-widget-image\" data-id=\"580942e\" data-element_type=\"widget\" data-e-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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"932\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/DX7MTLA.png\" class=\"attachment-large size-large wp-image-35332\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/DX7MTLA.png 879w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/DX7MTLA-258x300.png 258w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/DX7MTLA-768x895.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Podej\u015bcie r\u00f3\u017cnicowe 3-omega do pomiaru przewodno\u015bci cieplnej cienkich warstw na ca\u0142ej p\u0142aszczy\u017anie<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-cdefdb7 e-con-full e-flex e-con e-child\" data-id=\"cdefdb7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-dca24fd elementor-widget elementor-widget-text-editor\" data-id=\"dca24fd\" data-element_type=\"widget\" data-e-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<h2>Przewodno\u015b\u0107 cieplna w p\u0142aszczy\u017anie przy u\u017cyciu technologii pomiaru 3w<\/h2>\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-d37c58e elementor-widget elementor-widget-text-editor\" data-id=\"d37c58e\" data-element_type=\"widget\" data-e-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>Inna konfiguracja testowa pokazuje okre\u015blenie przewodno\u015bci cieplnej w p\u0142aszczy\u017anie przy u\u017cyciu technologii pomiarowej 3w. W tym przypadku element grzejny jest wy\u015brodkowany na membranie lub wolnostoj\u0105cym pod\u0142o\u017cu. W tym przypadku zachowanie termiczne membrany mo\u017cna opisa\u0107 za pomoc\u0105 nast\u0119puj\u0105cego r\u00f3wnania:  <\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21623\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/correlation-thermal-behaviour-three-omega.png\" alt=\"korelacja-termiczna-zachowanie-trzy-omega\" width=\"595\" height=\"209\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/correlation-thermal-behaviour-three-omega.png 595w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/correlation-thermal-behaviour-three-omega-300x105.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/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-69f7499 elementor-widget elementor-widget-text-editor\" data-id=\"69f7499\" data-element_type=\"widget\" data-e-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>Gdzie G=2\u03bbdlb^(-1) jest termiczn\u0105 sta\u0142\u0105 czasow\u0105, b jest szeroko\u015bci\u0105, l jest d\u0142ugo\u015bci\u0105, a D jest dyfuzyjno\u015bci\u0105 termiczn\u0105 membrany.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-21638\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/IV30I48.png\" alt=\"Zintegrowany uk\u0142ad pomiarowy do pomiar\u00f3w przewodno\u015bci cieplnej w cienkich warstwach metod\u0105 3-omega\" width=\"1272\" height=\"545\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/IV30I48.png 1272w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/IV30I48-300x129.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/IV30I48-1024x439.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/IV30I48-768x329.png 768w\" sizes=\"(max-width: 1272px) 100vw, 1272px\" \/>  Zintegrowany uk\u0142ad pomiarowy do pomiar\u00f3w przewodno\u015bci cieplnej w cienkich warstwach metod\u0105 3-omega<\/p><p> <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-5a584c2 e-con-full e-flex e-con e-child\" data-id=\"5a584c2\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2111823 elementor-widget elementor-widget-text-editor\" data-id=\"2111823\" data-element_type=\"widget\" data-e-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<h2>Jakie w\u0142a\u015bciwo\u015bci s\u0105 okre\u015blane?<\/h2>\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-ef9903f elementor-widget elementor-widget-text-editor\" data-id=\"ef9903f\" data-element_type=\"widget\" data-e-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>Metoda pomiarowa 3\u03c9 jest elektrotermiczn\u0105 metod\u0105 pomiarow\u0105 s\u0142u\u017c\u0105c\u0105 do okre\u015blania <strong>przewodno\u015bci cieplnej<\/strong>, <strong>dyfuzyjno\u015bci cieplnej<\/strong> i <strong>pojemno\u015bci cieplnej w\u0142a\u015bciwej<\/strong> materia\u0142\u00f3w sta\u0142ych (sta\u0142ych lub ciek\u0142ych) i cienkich warstw, przy u\u017cyciu zasilanego pr\u0105dem przemiennym metalowego paska jako elementu grzejnego.<\/p><p> <\/p><p>Metalowy grzejnik przy\u0142o\u017cony bezpo\u015brednio do pr\u00f3bki jest okresowo zasilany, a wynikaj\u0105ce z tego oscylacje temperatury grzejnika i pr\u00f3bki s\u0105 odczytywane bezpo\u015brednio za pomoc\u0105 tego samego elementu w metodzie. W\u0142a\u015bciwo\u015bci transportu termicznego pr\u00f3bki mo\u017cna okre\u015bli\u0107 na podstawie ich zale\u017cno\u015bci od cz\u0119stotliwo\u015bci. <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Metoda 3 Omega 3 Metoda Omega &#8211; podej\u015bcie do pomiaru przewodno\u015bci cieplnej Powszechnie stosowan\u0105 metod\u0105 pomiaru przewodno\u015bci cieplnej jest metoda 3\u03c9. Chocia\u017c metoda ta zosta\u0142a pierwotnie opracowana do pomiaru przewodno\u015bci cieplnej materia\u0142\u00f3w sta\u0142ych, podstawow\u0105 zasad\u0119 mo\u017cna p\u00f3\u017aniej zastosowa\u0107 r\u00f3wnie\u017c do charakterystyki termicznej cienkich warstw. Charakterystyka termiczna cienkich warstw o grubo\u015bci do do kilku nm grubo\u015bci. [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":101974,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-101997","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101997","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/comments?post=101997"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101997\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101974"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/media?parent=101997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}