{"id":103237,"date":"2024-07-22T09:18:55","date_gmt":"2024-07-22T07:18:55","guid":{"rendered":"https:\/\/www.linseis.com\/sem-categoria\/medicao-da-capacidade-termica-especifica-cp-utilizando-a-analise-de-flash-laser-lfa\/"},"modified":"2026-01-12T09:40:18","modified_gmt":"2026-01-12T08:40:18","slug":"medicao-da-capacidade-termica-especifica-cp-utilizando-a-analise-de-flash-laser-lfa","status":"publish","type":"post","link":"https:\/\/www.linseis.com\/pt-pt\/conhecimentos\/medicao-da-capacidade-termica-especifica-cp-utilizando-a-analise-de-flash-laser-lfa\/","title":{"rendered":"Medi\u00e7\u00e3o da capacidade t\u00e9rmica espec\u00edfica (Cp) utilizando a an\u00e1lise de flash laser (LFA)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"103237\" class=\"elementor elementor-103237 elementor-14741\" 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-8a18a8f elementor-toc--minimized-on-tablet elementor-invisible elementor-widget elementor-widget-table-of-contents\" data-id=\"8a18a8f\" 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\t\u00cdndice\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__8a18a8f\" aria-expanded=\"true\" aria-label=\"Open table of 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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__8a18a8f\" 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\">Par\u00e2metros termof\u00edsicos\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>A <a href=\"https:\/\/www.linseis.com\/wissen\/spezifische-waermekapazitaet\/\">\n  <strong>capacidade t\u00e9rmica espec\u00edfica cp<\/strong>\n<\/a>, <a href=\"https:\/\/www.linseis.com\/startseite\/messgroessen\/temperaturleitfaehigkeit\/\">\n  <strong>a difusividade t\u00e9rmica a<\/strong>\n<\/a> e a <a href=\"https:\/\/www.linseis.com\/startseite\/messgroessen\/waermeleitfaehigkeit\/\">\n  <strong>condutividade t\u00e9rmica \u03bb<\/strong>\n<\/a> s\u00e3o propriedades termof\u00edsicas importantes para caraterizar a condutividade t\u00e9rmica dos materiais.<br>Dependendo do material a ser analisado, da temperatura de medi\u00e7\u00e3o e da precis\u00e3o necess\u00e1ria, existem <a href=\"https:\/\/www.linseis.com\/startseite\/methoden\/\">\n  <strong>diferentes m\u00e9todos de medi\u00e7\u00e3o<\/strong>\n<\/a> est\u00e3o dispon\u00edveis.<\/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-e4d9be8 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"e4d9be8\" 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\">Como funciona a an\u00e1lise de flash laser\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e01df62 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"e01df62\" 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 an\u00e1lise por flash laser \u00e9 frequentemente utilizada para analisar s\u00f3lidos e l\u00edquidos em pequenas quantidades de amostras. Est\u00e1 em conformidade com as normas ASTM E1461, DIN EN 821, ASTM C714. <\/p><p>O m\u00e9todo remonta a Parker et al. que desenvolveram a an\u00e1lise em 1961 para medir as tr\u00eas propriedades termof\u00edsicas cp, a e \u03bb. <\/p><p>O princ\u00edpio da an\u00e1lise de flash laser (abreviado <a href=\"https:\/\/www.linseis.com\/startseite\/methoden\/flash-methode\/\">\n  <strong>LFA<\/strong>\n<\/a>) baseia-se numa entrada vertical de energia na parte inferior da amostra. A difusividade t\u00e9rmica do material da amostra \u00e9 determinada a partir do intervalo de tempo entre a entrada de energia na parte inferior da amostra e a sa\u00edda de energia na parte superior da amostra. <\/p><p>Como a difusividade t\u00e9rmica depende da temperatura, a amostra \u00e9 levada \u00e0 temperatura desejada num forno; a medi\u00e7\u00e3o subsequente \u00e9 ent\u00e3o isot\u00e9rmica. Para este efeito, a parte inferior de uma amostra \u00e9 exposta a um impulso de energia curto (l\u00e2mpada de x\u00e9non ou laser). <\/p><p>A energia absorvida leva a um aumento de temperatura numa camada fina na superf\u00edcie da amostra. Este aumento de temperatura espalha-se por toda a amostra, de modo que tamb\u00e9m ocorre um aumento de temperatura no topo da amostra, que \u00e9 registado em fun\u00e7\u00e3o do tempo utilizando um detetor de infravermelhos. <\/p><p>Se a espessura d (em cm) da amostra for conhecida, a difusividade t\u00e9rmica a (em cm2\/s) pode ser calculada a partir do aumento de temperatura ao longo do tempo utilizando a fun\u00e7\u00e3o anal\u00edtica de aumento de temperatura de acordo com a seguinte f\u00f3rmula<\/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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"323\" height=\"136\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Tmeperaturleitfaehigkeit-Formel.png\" class=\"attachment-large size-large wp-image-33548\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Tmeperaturleitfaehigkeit-Formel.png 323w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Tmeperaturleitfaehigkeit-Formel-300x126.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">com t1\/2: Tempo de subida para metade do valor final<\/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-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\tNo entanto, este c\u00e1lculo n\u00e3o tem em conta a perda de calor da amostra ou uma dura\u00e7\u00e3o n\u00e3o infinitamente curta do impulso de energia. Na realidade, parte do calor fornecido perde-se por radia\u00e7\u00e3o, convec\u00e7\u00e3o ou dissipa\u00e7\u00e3o de calor no ambiente da amostra. Estes efeitos foram corrigidos por v\u00e1rios procedimentos matem\u00e1ticos, tais como solu\u00e7\u00f5es de aproxima\u00e7\u00e3o iterativa, e s\u00e3o implementados em software de avalia\u00e7\u00e3o especial, de modo que, em \u00faltima an\u00e1lise, o m\u00e9todo de flash laser fornece resultados de medi\u00e7\u00e3o muito precisos numa vasta gama de temperaturas.  \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-5ef4e9a elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"5ef4e9a\" 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\">Determina\u00e7\u00e3o de Cp por an\u00e1lise de flash laser\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8d36621 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"8d36621\" 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\tA determina\u00e7\u00e3o do cp pode ser efectuada utilizando uma an\u00e1lise de flash laser atrav\u00e9s de um procedimento de compara\u00e7\u00e3o. Para este efeito, o dispositivo LFA \u00e9 calibrado com uma refer\u00eancia com um cp conhecido. A amostra \u00e9 ent\u00e3o medida exatamente nas mesmas condi\u00e7\u00f5es (dimens\u00f5es, revestimento de grafite e programa de temperatura).  \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-78d7292 elementor-widget elementor-widget-spacer\" data-id=\"78d7292\" 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-aa8b995 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"aa8b995\" 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\tSobre a rela\u00e7\u00e3o\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-2940b7c elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"2940b7c\" 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=\"245\" height=\"87\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Formel-Tmax.png\" class=\"attachment-large size-large wp-image-33552\" 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-4c81eff elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"4c81eff\" 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\ta capacidade t\u00e9rmica espec\u00edfica da amostra pode ent\u00e3o ser calculada utilizando\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-e504dd3 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"e504dd3\" 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=\"591\" height=\"93\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Formel-Cp-1.png\" class=\"attachment-large size-large wp-image-33556\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Formel-Cp-1.png 591w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Formel-Cp-1-300x47.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/>\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-26eca6d elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"26eca6d\" 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\tser determinado.\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-bdb030c elementor-widget elementor-widget-spacer\" data-id=\"bdb030c\" 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-83075f8 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"83075f8\" 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>Se a densidade do material da amostra tamb\u00e9m for determinada, \u00e9 poss\u00edvel calcular \u03bb atrav\u00e9s da correla\u00e7\u00e3o.<br>A capacidade t\u00e9rmica espec\u00edfica tamb\u00e9m pode ser determinada utilizando <a href=\"https:\/\/www.linseis.com\/pt-pt\/conhecimentos\/capacidade-termica-especifica-com-dsc-modulado\/\">\n  <strong>A capacidade t\u00e9rmica espec\u00edfica pode ser determinada utilizando a calorimetria din\u00e2mica diferencial de varrimento (DSC)<\/strong>\n<\/a> pode ser determinada.<\/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-5f7d37f elementor-widget elementor-widget-spacer\" data-id=\"5f7d37f\" 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 cp, a difusividade t\u00e9rmica a e a condutividade t\u00e9rmica \u03bb s\u00e3o propriedades termof\u00edsicas importantes para caraterizar a condutividade t\u00e9rmica dos materiais.<\/p>\n","protected":false},"author":3,"featured_media":33544,"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-103237","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\/103237","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=103237"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts\/103237\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media\/33544"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media?parent=103237"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/categories?post=103237"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/tags?post=103237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}