{"id":103226,"date":"2024-07-22T10:17:07","date_gmt":"2024-07-22T08:17:07","guid":{"rendered":"https:\/\/www.linseis.com\/sem-categoria\/medicao-da-capacidade-termica-especifica-cp-utilizando-o-metodo-do-fio-de-aquecimento-transiente\/"},"modified":"2026-01-12T09:39:47","modified_gmt":"2026-01-12T08:39:47","slug":"medicao-da-capacidade-termica-especifica-cp-utilizando-o-metodo-do-fio-de-aquecimento-transiente","status":"publish","type":"post","link":"https:\/\/www.linseis.com\/pt-pt\/conhecimentos\/medicao-da-capacidade-termica-especifica-cp-utilizando-o-metodo-do-fio-de-aquecimento-transiente\/","title":{"rendered":"Medi\u00e7\u00e3o da capacidade t\u00e9rmica espec\u00edfica (Cp) utilizando o m\u00e9todo do fio de aquecimento transiente"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"103226\" class=\"elementor elementor-103226 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>A capacidade t\u00e9rmica espec\u00edfica \u00e9 uma propriedade termof\u00edsica fundamental dos materiais e \u00e9 \u00fatil para avaliar os materiais e as suas \u00e1reas de aplica\u00e7\u00e3o. Pode ser determinada por meio de <a href=\"https:\/\/www.linseis.com\/startseite\/methoden\/dynamische-differenz-kalorimetrie\/\">\n  <strong>calorimetria de varrimento diferencial din\u00e2mica (DSC)<\/strong>\n<\/a> pode ser determinada. <\/p><p>Outra forma de determinar a capacidade t\u00e9rmica espec\u00edfica \u00e9 utilizar o m\u00e9todo do fio de aquecimento transiente (<a href=\"https:\/\/www.astm.org\/c1113_c1113m-09r19.html\" target=\"_blank\" rel=\"noopener\">\n  <strong>ASTM C1113-99<\/strong>\n<\/a>). O m\u00e9todo dependente do tempo fornece resultados exactos e precisos para determinar os valores termof\u00edsicos <a href=\"https:\/\/www.linseis.com\/messgeraete\/waermeleitfaehigkeit\/\">\n  <strong>Condutividade t\u00e9rmica \u03bb<\/strong>\n<\/a>, <a href=\"https:\/\/www.linseis.com\/startseite\/messgroessen\/temperaturleitfaehigkeit\/\">\n  <strong>difusividade t\u00e9rmica<\/strong>\n<\/a> <strong>a<\/strong> e <a href=\"https:\/\/www.linseis.com\/wissen\/spezifische-waermekapazitaet\/\">\n  <strong>capacidade t\u00e9rmica espec\u00edfica cp<\/strong>\n<\/a> dos gases e l\u00edquidos. O aumento da temperatura \u00e9 medido numa amostra que \u00e9 aquecida por um fio de aquecimento fino a uma dist\u00e2ncia conhecida. O fio funciona como uma fonte de calor de Joule e, ao mesmo tempo, como um term\u00f3metro de resist\u00eancia. \u00c0 medida que a temperatura aumenta, a resist\u00eancia do fio muda e pode, portanto, ser usada para medir a temperatura.    <\/p><p>J\u00e1 em 1931, St\u00e5lhane e Pyk tinham medido a condutividade t\u00e9rmica de p\u00f3s utilizando um aparelho muito semelhante ao m\u00e9todo atual; tinham encontrado a seguinte correla\u00e7\u00e3o emp\u00edrica:<\/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-33636\" 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>Tendo em conta a equa\u00e7\u00e3o da condu\u00e7\u00e3o de calor, a temperatura <em>T<\/em> do fio de aquecimento como fonte linear de calor a uma dist\u00e2ncia<em> r<\/em> do fio num determinado momento <em>t<\/em> pode ser calculada do seguinte modo<\/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-33640\" 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;\">Equa\u00e7\u00e3o 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>Isto permite que a condutividade t\u00e9rmica <em>\u03bb<\/em> seja calculada utilizando a varia\u00e7\u00e3o de temperatura em dois tempos diferentes <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-33644\" 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;\">Equa\u00e7\u00e3o 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>Dado que a condutividade t\u00e9rmica <em><strong>\u03bb<\/strong>,<\/em> a difusividade t\u00e9rmica, a capacidade t\u00e9rmica espec\u00edfica <em>\n  <sub>cp<\/sub>\n<\/em> e a densidade <em>\n  <strong>\u03c1<\/strong>\n<\/em> est\u00e3o relacionadas da seguinte forma,<\/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-33648\" 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>a capacidade t\u00e9rmica espec\u00edfica <em>cp<\/em>pode ser determinada <em>\n  <sub>atrav\u00e9s da <\/sub>\n<\/em>equa\u00e7\u00e3o 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-33652\" 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\">M\u00e9todo da ponte quente transiente (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>Um outro desenvolvimento do m\u00e9todo transiente de fio quente \u00e9 o m\u00e9todo transiente de ponte quente desenvolvido pelo Physikalisch-Technische Bundesanstalt em Braunschweig, que foi introduzido no mercado europeu em 2005 (ver <a href=\"https:\/\/www.linseis.com\/messgeraete\/waermeleitfaehigkeit\/thb-l56\/\">\n  <strong>THB<\/strong>\n<\/a>).<\/p><p>O sensor multi-patenteado \u00e9 o componente chave aqui. Enquanto no m\u00e9todo do fio de aquecimento \u00e9 utilizada apenas uma tira de aquecimento, a THB utiliza quatro tiras de aquecimento sinuosas. A divis\u00e3o transversal assim\u00e9trica de cada tira e as diferentes dist\u00e2ncias entre as tiras, em conjunto com um circuito de ponte de Wheatstone, permitem uma compensa\u00e7\u00e3o efectiva de desvios de medi\u00e7\u00e3o sistem\u00e1ticos significativos.  <\/p><p>O m\u00e9todo da ponte quente transiente dependente do tempo permite a medi\u00e7\u00e3o simult\u00e2nea das propriedades termof\u00edsicas do material \u03bb, a e cp de numerosos materiais e geometrias. O m\u00e9todo fornece resultados para s\u00f3lidos e l\u00edquidos, bem como para p\u00f3s e pastas, com elevada exatid\u00e3o de medi\u00e7\u00e3o e baixo disp\u00eandio de tempo. <\/p><p>O m\u00e9todo de medi\u00e7\u00e3o \u00e9 utilizado para uma vasta gama de aplica\u00e7\u00f5es, incluindo a avalia\u00e7\u00e3o de materiais de armazenamento de calor e materiais isolantes, bem como a an\u00e1lise de componentes electr\u00f3nicos e materiais utilizados na nanotecnologia.  <\/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>A capacidade t\u00e9rmica espec\u00edfica \u00e9 uma propriedade termof\u00edsica fundamental dos materiais e \u00e9 \u00fatil para avaliar os materiais e as suas \u00e1reas de aplica\u00e7\u00e3o. Pode ser determinada utilizando a calorimetria de varrimento diferencial din\u00e2mica (DSC). <\/p>\n","protected":false},"author":3,"featured_media":33624,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[654],"tags":[],"class_list":["post-103226","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-conhecimentos"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts\/103226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/comments?post=103226"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts\/103226\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media\/33624"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media?parent=103226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/categories?post=103226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/tags?post=103226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}