{"id":100038,"date":"2024-07-22T10:17:07","date_gmt":"2024-07-22T08:17:07","guid":{"rendered":"https:\/\/www.linseis.com\/non-categorizzato\/misurazione-della-capacita-termica-specifica-cp-con-il-metodo-del-filo-riscaldante-transitorio\/"},"modified":"2026-01-13T08:25:27","modified_gmt":"2026-01-13T07:25:27","slug":"misurazione-della-capacita-termica-specifica-cp-con-il-metodo-del-filo-riscaldante-transitorio","status":"publish","type":"post","link":"https:\/\/www.linseis.com\/it\/conoscenza\/misurazione-della-capacita-termica-specifica-cp-con-il-metodo-del-filo-riscaldante-transitorio\/","title":{"rendered":"Misurazione della capacit\u00e0 termica specifica (Cp) con il metodo del filo riscaldante transitorio"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"100038\" class=\"elementor elementor-100038 elementor-15038\" 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-be9105e elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"be9105e\" 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>La capacit\u00e0 termica specifica \u00e8 una propriet\u00e0 termofisica fondamentale dei materiali ed \u00e8 utile per valutare i materiali e le loro aree di applicazione. Pu\u00f2 essere determinata mediante <a href=\"https:\/\/www.linseis.com\/startseite\/methoden\/dynamische-differenz-kalorimetrie\/\">\n  <strong>calorimetria dinamica a scansione differenziale (DSC)<\/strong>\n<\/a> pu\u00f2 essere determinata. <\/p><p>Un altro modo per determinare la capacit\u00e0 termica specifica \u00e8 quello di utilizzare il metodo del filo riscaldante transitorio (<a href=\"https:\/\/www.astm.org\/c1113_c1113m-09r19.html\" target=\"_blank\" rel=\"noopener\">\n  <strong>ASTM C1113-99<\/strong>\n<\/a>). Il metodo in funzione del tempo fornisce risultati esatti e precisi per la determinazione dei valori termofisici <a href=\"https:\/\/www.linseis.com\/messgeraete\/waermeleitfaehigkeit\/\">\n  <strong>Conducibilit\u00e0 termica \u03bb<\/strong>\n<\/a>, <a href=\"https:\/\/www.linseis.com\/startseite\/messgroessen\/temperaturleitfaehigkeit\/\">\n  <strong>diffusivit\u00e0 termica<\/strong>\n<\/a> <strong>a<\/strong> e <a href=\"https:\/\/www.linseis.com\/wissen\/spezifische-waermekapazitaet\/\">\n  <strong>capacit\u00e0 termica specifica cp<\/strong>\n<\/a> di gas e liquidi. L&#8217;aumento di temperatura viene misurato in un campione che viene riscaldato da un sottile filo riscaldante a una distanza nota. Il filo funge da fonte di calore Joule e allo stesso tempo da termometro a resistenza. Quando la temperatura aumenta, la resistenza del filo cambia e pu\u00f2 quindi essere utilizzata per misurare la temperatura.    <\/p><p>Gi\u00e0 nel 1931, St\u00e5lhane e Pyk avevano misurato la conducibilit\u00e0 termica delle polveri utilizzando un apparecchio molto simile al metodo odierno; avevano trovato la seguente correlazione empirica:<\/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-eac9a92 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"eac9a92\" 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=\"316\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel.png\" class=\"attachment-large size-large wp-image-33634\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel.png 987w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-300x119.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-768x303.png 768w\" 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<div class=\"elementor-element elementor-element-33229bc elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"33229bc\" 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>Tenendo conto dell&#8217;equazione della conduzione del calore, la temperatura <em>T<\/em> del filo riscaldante come fonte di calore lineare a una distanza<em> r<\/em> dal filo in uno specifico momento <em>t<\/em> pu\u00f2 essere calcolata come segue:<\/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-1c3873f elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"1c3873f\" 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=\"800\" height=\"116\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit.png\" class=\"attachment-large size-large wp-image-33638\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit.png 1012w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-300x44.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-768x112.png 768w\" 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<div class=\"elementor-element elementor-element-71e5f71 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"71e5f71\" 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><span style=\"text-decoration: underline;\">Equazione 2<\/span><\/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-71398e8 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"71398e8\" 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>In questo modo \u00e8 possibile calcolare la conduttivit\u00e0 termica <em>\u03bb<\/em> utilizzando la variazione di temperatura in due momenti diversi, <em>\n  <sub>t1<\/sub>\n<\/em> e <em>\n  <sub>t2<\/sub>\n<\/em>:<\/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-c93723c elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"c93723c\" 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=\"300\" height=\"95\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-2-300x95-1.png\" class=\"attachment-large size-large wp-image-33642\" 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-256e8e9 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"256e8e9\" 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><span style=\"text-decoration: underline;\">Equazione 3<\/span><\/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-1f62fdd elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"1f62fdd\" 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>Poich\u00e9 la conducibilit\u00e0 termica <em><strong>\u03bb<\/strong>, la<\/em> diffusivit\u00e0 termica, la capacit\u00e0 termica specifica <em>\n  <sub>cp<\/sub>\n<\/em> e la densit\u00e0 <em>\n  <strong>\u03c1<\/strong>\n<\/em> sono correlate come segue,<\/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-b2cb2c6 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"b2cb2c6\" 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=\"483\" height=\"87\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-3.png\" class=\"attachment-large size-large wp-image-33646\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-3.png 483w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-3-300x54.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/>\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-3f23e24 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"3f23e24\" 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>la capacit\u00e0 termica specifica <em>cp<\/em>pu\u00f2 essere determinata <em>\n  <sub>utilizzando l&#8217;<\/sub>\n<\/em>equazione 3:<\/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-fca354a elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"fca354a\" 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=\"324\" height=\"80\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-4.png\" class=\"attachment-large size-large wp-image-33650\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-4.png 324w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Cp-THB-Formel-Temperaturleitfaehigkeit-Dichte-4-300x74.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/>\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-2cbc2e6 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"2cbc2e6\" 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\">Metodo del ponte caldo transitorio (THB)\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-681528f elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"681528f\" 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>Un ulteriore sviluppo del metodo transiente a filo caldo \u00e8 il metodo transiente a ponte caldo sviluppato dalla Physikalisch-Technische Bundesanstalt di Braunschweig, che \u00e8 stato introdotto sul mercato europeo nel 2005 (vedi <a href=\"https:\/\/www.linseis.com\/messgeraete\/waermeleitfaehigkeit\/thb-l56\/\">\n  <strong>THB<\/strong>\n<\/a>).<\/p><p>Il sensore multi brevettato \u00e8 il componente chiave. Mentre con il metodo del filo riscaldante viene utilizzata una sola striscia riscaldante, il THB utilizza quattro strisce riscaldanti a meandri. La divisione trasversale asimmetrica di ogni striscia e le diverse distanze tra le strisce, insieme a un circuito a ponte di Wheatstone, consentono di compensare efficacemente le deviazioni sistematiche significative della misurazione.  <\/p><p>Il metodo del ponte caldo transitorio in funzione del tempo consente di misurare simultaneamente le propriet\u00e0 termofisiche \u03bb, a e cp di numerosi materiali e geometrie. Il metodo fornisce risultati per solidi e liquidi, nonch\u00e9 per polveri e paste, con un&#8217;elevata precisione di misurazione e un basso dispendio di tempo. <\/p><p>Il metodo di misurazione viene utilizzato per un&#8217;ampia gamma di applicazioni, tra cui la valutazione dei materiali per l&#8217;accumulo di calore e dei materiali isolanti, nonch\u00e9 l&#8217;analisi dei componenti elettronici e dei materiali utilizzati nelle nanotecnologie.  <\/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-7703270 elementor-widget elementor-widget-spacer\" data-id=\"7703270\" 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>La capacit\u00e0 termica specifica \u00e8 una propriet\u00e0 termofisica fondamentale dei materiali ed \u00e8 utile per valutare i materiali e le loro aree di applicazione. Pu\u00f2 essere determinata utilizzando la calorimetria dinamica a scansione differenziale (DSC). <\/p>\n","protected":false},"author":3,"featured_media":33622,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[538],"tags":[],"class_list":["post-100038","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-conoscenza"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/posts\/100038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/comments?post=100038"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/posts\/100038\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/media\/33622"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/media?parent=100038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/categories?post=100038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.linseis.com\/it\/wp-json\/wp\/v2\/tags?post=100038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}