{"id":101697,"date":"2024-07-18T10:30:48","date_gmt":"2024-07-18T08:30:48","guid":{"rendered":"https:\/\/www.linseis.com\/bez-kategorii\/odpornosc-na-kontakt-termiczny\/"},"modified":"2026-01-16T10:06:23","modified_gmt":"2026-01-16T09:06:23","slug":"odpornosc-na-kontakt-termiczny","status":"publish","type":"post","link":"https:\/\/www.linseis.com\/pl\/wiedza\/odpornosc-na-kontakt-termiczny\/","title":{"rendered":"Odporno\u015b\u0107 na kontakt termiczny"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"101697\" class=\"elementor elementor-101697 elementor-12205\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9eb8745 e-flex e-con-boxed e-con e-parent\" data-id=\"9eb8745\" 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-f7a7fd5 elementor-toc--minimized-on-tablet elementor-invisible elementor-widget elementor-widget-table-of-contents\" data-id=\"f7a7fd5\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;headings_by_tags&quot;:[&quot;h2&quot;],&quot;exclude_headings_by_selector&quot;:[],&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;no_headings_message&quot;:&quot;No headings were found on this page.&quot;,&quot;marker_view&quot;:&quot;numbers&quot;,&quot;minimize_box&quot;:&quot;yes&quot;,&quot;minimized_on&quot;:&quot;tablet&quot;,&quot;hierarchical_view&quot;:&quot;yes&quot;,&quot;min_height&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;min_height_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;min_height_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"table-of-contents.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-toc__header\">\n\t\t\t\t\t\t<h4 class=\"elementor-toc__header-title\">\n\t\t\t\tSpis tre\u015bci\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-toc__toggle-button elementor-toc__toggle-button--expand\" role=\"button\" tabindex=\"0\" aria-controls=\"elementor-toc__f7a7fd5\" aria-expanded=\"true\" aria-label=\"Open table of contents\"><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-toc__toggle-button elementor-toc__toggle-button--collapse\" role=\"button\" tabindex=\"0\" aria-controls=\"elementor-toc__f7a7fd5\" aria-expanded=\"true\" aria-label=\"Close table of contents\"><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<div id=\"elementor-toc__f7a7fd5\" class=\"elementor-toc__body\">\n\t\t\t<div class=\"elementor-toc__spinner-container\">\n\t\t\t\t<svg class=\"elementor-toc__spinner eicon-animation-spin e-font-icon-svg e-eicon-loading\" aria-hidden=\"true\" viewBox=\"0 0 1000 1000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M500 975V858C696 858 858 696 858 500S696 142 500 142 142 304 142 500H25C25 237 238 25 500 25S975 237 975 500 763 975 500 975Z\"><\/path><\/svg>\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 class=\"elementor-element elementor-element-8a9139e elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"8a9139e\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\">Jaka jest rezystancja styku termicznego?\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ffaef65 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"ffaef65\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>Op\u00f3r kontaktu termicznego charakteryzuje transfer ciep\u0142a na styku dw\u00f3ch cia\u0142 sta\u0142ych.<\/strong><br><br>Chropowato\u015b\u0107 powierzchni jest nieunikniona ze wzgl\u0119du na procesy produkcji i obr\u00f3bki, ale tak\u017ce ze wzgl\u0119du na wewn\u0119trzne w\u0142a\u015bciwo\u015bci materia\u0142u. W rezultacie nie ca\u0142a powierzchnia dw\u00f3ch cia\u0142 sta\u0142ych jest w bezpo\u015brednim kontakcie, ale tylko cz\u0119\u015b\u0107, a zatem nie bierze udzia\u0142u w wymianie ciep\u0142a. <br><br>Powsta\u0142e w ten spos\u00f3b puste przestrzenie mi\u0119dzy cia\u0142ami sta\u0142ymi s\u0105 zwykle wype\u0142nione powietrzem, kt\u00f3re jest s\u0142abym przewodnikiem ciep\u0142a[1,2]. [1,2] Powoduje to skok temperatury na granicy faz. <\/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-af839e4 elementor-widget elementor-widget-spacer\" data-id=\"af839e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-09679bd elementor-widget elementor-widget-spacer\" data-id=\"09679bd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-9230b23 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"9230b23\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>W odniesieniu do okre\u015blonej rezystancji styku termicznego obowi\u0105zuj\u0105 nast\u0119puj\u0105ce warto\u015bci:[1]<\/strong><\/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-5fbbe2e elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"5fbbe2e\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"300\" height=\"208\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Thermischer-Kontaktwiderstand-1-300x208-1.png\" class=\"attachment-large size-large wp-image-32832\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">z rK: specyficzny termiczny op\u00f3r kontaktowy w (m2K)\/W A: nominalna (makroskopowa) powierzchnia styku bez chropowato\u015bci w m2 Q \u0307: przep\u0142yw ciep\u0142a przez powierzchni\u0119 styku A w W \u0394T: skok temperatury na powierzchni styku A w K.<\/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 class=\"elementor-element elementor-element-276a413 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"276a413\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>Jego odwrotno\u015b\u0107 jest r\u00f3wnie\u017c okre\u015blana jako <strong>wsp\u00f3\u0142czynnik kontaktu<\/strong> <strong>termicznego<\/strong>. Iloraz rezystancji termicznej rk i makroskopowej powierzchni styku A jest okre\u015blany jako rezystancja termiczna styku: <\/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-aac13d1 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"aac13d1\" 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 decoding=\"async\" width=\"236\" height=\"138\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Thermischer-Kontaktwiderstand-Formel-2.png\" class=\"attachment-large size-large wp-image-32836\" alt=\"\" \/>\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-0a28d3a elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"0a28d3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>Jednostk\u0105 rezystancji styku termicznego jest (K\/W).<\/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-37c41bc elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"37c41bc\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\">Co mo\u017ce wp\u0142ywa\u0107 na rezystancj\u0119 styku termicznego?\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-92ec287 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"92ec287\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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<ul><li>Chropowato\u015b\u0107 powierzchni cia\u0142 sta\u0142ych<\/li><li>Ci\u015bnienie kontaktowe na powierzchni styku dw\u00f3ch cia\u0142 sta\u0142ych<\/li><li>Na przyk\u0142ad wype\u0142nienie pustych przestrzeni mi\u0119dzy powierzchniami styku materia\u0142ami lepiej przewodz\u0105cymi ciep\u0142o:<ul><li>\u017bele, pasty, materia\u0142y zmiennofazowe, folie, kleje, materia\u0142y interfejsu termicznego itp.<\/li><\/ul><\/li><li>Og\u00f3lnie rzecz bior\u0105c, po\u0142\u0105czenie dw\u00f3ch cia\u0142 sta\u0142ych okre\u015bla termiczny op\u00f3r kontaktowy<\/li><\/ul>\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-29b9d76 elementor-widget elementor-widget-spacer\" data-id=\"29b9d76\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-695c08e elementor-widget elementor-widget-spacer\" data-id=\"695c08e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-4b5e415 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"4b5e415\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\tWysoce uproszczony model do obliczania oporu kontaktu termicznego mo\u017cna skonfigurowa\u0107 przy u\u017cyciu modelu oporu. Przep\u0142yw ciep\u0142a jest podzielony na komponenty sta\u0142e i p\u0142ynne i traktowany oddzielnie. W \u015bcie\u017cce sta\u0142ej znajduj\u0105 si\u0119 dwa rezystory po\u0142\u0105czone szeregowo. Cz\u0119\u015b\u0107 przez p\u0142yn jest tworzona przez zamkni\u0119te powietrze. Ciep\u0142o jest transportowane r\u00f3wnolegle przez oba kana\u0142y, dlatego mo\u017cna to przedstawi\u0107 jako obw\u00f3d r\u00f3wnoleg\u0142y na schemacie obwodu r\u00f3wnowa\u017cnego. (patrz rysunek 1)     \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-6c36de9 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"6c36de9\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"800\" height=\"327\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Modell_deutsch-1024x419-1.png\" class=\"attachment-large size-large wp-image-32844\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Modell_deutsch-1024x419-1.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Modell_deutsch-1024x419-1-300x123.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Modell_deutsch-1024x419-1-768x314.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\">Rysunek 1: Wysoce uproszczony model do okre\u015blania rezystancji styku termicznego [1]<\/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 class=\"elementor-element elementor-element-a83fb83 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"a83fb83\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\tKorzystaj\u0105c ze schematu obwodu zast\u0119pczego i znanych zasad obliczania rezystancji w obwodach szeregowych i r\u00f3wnoleg\u0142ych, otrzymujemy nast\u0119puj\u0105cy wz\u00f3r [1]:\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-963d122 elementor-widget elementor-widget-spacer\" data-id=\"963d122\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-7d94d1f elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"7d94d1f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\tz\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-c891b16 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"c891b16\" 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 loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"60\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Thermischer-Kontaktwiderstand-Formel-3-300x60-4.png\" class=\"attachment-medium size-medium wp-image-32872\" alt=\"\" \/>\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-502af99 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"502af99\" 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 loading=\"lazy\" decoding=\"async\" width=\"195\" height=\"90\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Thermischer-Kontaktwiderstand-Formel-4.png\" class=\"attachment-large size-large wp-image-32908\" alt=\"\" \/>\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-4bfc0e4 elementor-widget elementor-widget-spacer\" data-id=\"4bfc0e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-ee484c6 elementor-widget elementor-widget-spacer\" data-id=\"ee484c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-b31d24c elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"b31d24c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>Op\u00f3r cieplny materia\u0142\u00f3w 1.2 lub powietrza w K\/W<\/strong><\/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-e98ed79 elementor-widget elementor-widget-spacer\" data-id=\"e98ed79\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-d86e453 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"d86e453\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\tDotyczy:\n\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-0d94bee elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"0d94bee\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"56\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Thermischer-Kontaktwiderstand-Formel-5-300x56-1.png\" class=\"attachment-large size-large wp-image-32912\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">\u03b4: Grubo\u015b\u0107 warstwy granicznej w m \u03bb_(1,2,L): Przewodno\u015b\u0107 cieplna materia\u0142\u00f3w 1, 2 lub materia\u0142u w szczelinie (zazwyczaj powietrza) w W\/(m K) A: Nominalna (makroskopowa) powierzchnia styku bez chropowato\u015bci w m^2 \u03c6: Proporcja sta\u0142ej powierzchni styku do powierzchni nominalnej A<\/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 class=\"elementor-element elementor-element-c200c6c elementor-widget elementor-widget-spacer\" data-id=\"c200c6c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/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 class=\"elementor-element elementor-element-bcc5ba2 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"bcc5ba2\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\tModel ten ma pewne s\u0142abo\u015bci. Po pierwsze, w \u017caden spos\u00f3b nie uwzgl\u0119dnia wymiany ciep\u0142a w postaci promieniowania, a po drugie, grubo\u015b\u0107 warstwy granicznej \u03b4 i cz\u0119\u015b\u0107 nominalnej powierzchni, kt\u00f3ra uczestniczy w wymianie ciep\u0142a \u03c6, s\u0105 znane tylko w najrzadszych przypadkach. \n\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-6e9cf50 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"6e9cf50\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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\">Jak zmierzy\u0107 rezystancj\u0119 styku termicznego?\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f0160f7 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"f0160f7\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>Op\u00f3r styku termicznego mo\u017cna zmierzy\u0107 na przyk\u0142ad za pomoc\u0105 &#8222;<a href=\"https:\/\/www.linseis.com\/messgeraete\/waermeleitfaehigkeit\/tim-l58\/\">\n  <strong>Thermal Interface Material Tester<\/strong>\n<\/a>&#8221; (testera TIM). Je\u015bli tester TIM jest u\u017cywany do pomiaru <a href=\"https:\/\/www.linseis.com\/pl\/wiedza\/impedancja-termiczna\/\">\n  <strong>impedancji termicznej<\/strong>\n<\/a> materia\u0142u dla r\u00f3\u017cnych grubo\u015bci poprzez zastosowanie przep\u0142ywu ciep\u0142a przez pr\u00f3bk\u0119. <\/p><p>Rosn\u0105c\u0105 lini\u0119 prost\u0105 mo\u017cna obliczy\u0107 na podstawie punkt\u00f3w pomiarowych przy u\u017cyciu regresji liniowej i warto\u015bci <a href=\"https:\/\/www.linseis.com\/startseite\/messgroessen\/waermeleitfaehigkeit\/\">\n  <strong>przewodno\u015b\u0107 cieplna<\/strong>\n<\/a> mo\u017cna okre\u015bli\u0107. Punkt przeci\u0119cia linii prostej odpowiada oporowi kontaktu termicznego mi\u0119dzy materia\u0142em a blokiem pomiarowym. Blok pomiarowy mo\u017ce by\u0107 na przyk\u0142ad wykonany z mosi\u0105dzu, stopu miedzi lub aluminium. <a href=\"https:\/\/www.linseis.com\/applikationen\/halbleiter-und-elektronik\/\">\n  <strong>miedzi lub stopu aluminium<\/strong>\n<\/a> stopu aluminium.  <\/p><p>Przyk\u0142ad takiego pomiaru pokazano na rysunku 2. Jest to pomiar impedancji termicznej pr\u00f3bki VespelTM o wymiarach 25 mm x 25 mm i przy\u0142o\u017conym ci\u015bnieniu kontaktowym 1 MPa.<br>W tym przyk\u0142adzie zmierzono pr\u00f3bki o grubo\u015bci od 1,1 mm do 3,08 mm. <\/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-661d207 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"661d207\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"203\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/TIM-Vespel-300x203-1.jpg\" class=\"attachment-2048x2048 size-2048x2048 wp-image-32916\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Rysunek 2: Pomiar przewodno\u015bci cieplnej VespelTM (przy 50\u00b0C, 1MPa)<\/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 class=\"elementor-element elementor-element-eeb9cf5 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"eeb9cf5\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Literatura:\n\n<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d20d592 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"d20d592\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" 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>[1] Griesinger, Andreas. Zarz\u0105dzanie ciep\u0142em w elektronice, Springer Berlin Heidelberg, 2019. <br><br>[2] Incropera, DeWitt, Bergmann, Lavine, Fundamentals of heat and mass transfer.pdf&#8221;, John Wiley &amp; Sons, 2017.<\/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-38d92df elementor-widget elementor-widget-spacer\" data-id=\"38d92df\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\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<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Op\u00f3r kontaktu termicznego charakteryzuje transfer ciep\u0142a na styku dw\u00f3ch cia\u0142 sta\u0142ych.<\/p>\n","protected":false},"author":3,"featured_media":32828,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[596],"tags":[],"class_list":["post-101697","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-wiedza"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/posts\/101697","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/comments?post=101697"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/posts\/101697\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/media\/32828"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/media?parent=101697"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/categories?post=101697"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/tags?post=101697"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}