{"id":15129,"date":"2025-05-08T23:10:25","date_gmt":"2025-05-08T21:10:25","guid":{"rendered":"https:\/\/themacs-engineering.com\/?p=15129"},"modified":"2025-05-09T10:22:35","modified_gmt":"2025-05-09T08:22:35","slug":"measurement-of-the-thermal-conductivity-of-copper-in-cryogenic-conditions","status":"publish","type":"post","link":"http:\/\/themacs-engineering.com\/en\/actualites-en\/measurement-of-the-thermal-conductivity-of-copper-in-cryogenic-conditions\/","title":{"rendered":"Measurement of the thermal conductivity of copper in cryogenic conditions"},"content":{"rendered":"<h1>Measurement of the thermal conductivity of copper in cryogenic conditions<\/h1>\r\nWe have begun the first measurements under cryogenic conditions of the thermal conductivity of copper samples.\r\n\r\nInitial results are conclusive.\r\n\r\n&nbsp;\r\n<h3>Article avalable here :<\/h3>\r\n<a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/Mesure-de-la-conductivite-thermique-du-cuivre-en-condition-cryogeniques-en-GB.pdf\">Mesure de la conductivit\u00e9 thermique du cuivre en condition cryog\u00e9niques en-GB<\/a>\r\n<h2><\/h2>\r\n<h2><\/h2>\r\n<h2>Principle of the method<\/h2>\r\nThe method adopted is specific to good conductors like copper.\r\n<h2>experimental set-up<\/h2>\r\nThe experimental set-up is shown below.\r\n\r\n<a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/schema1.png\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-15122 img-responsive aligncenter\" src=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/schema1.png\" alt=\"\" width=\"513\" height=\"358\" srcset=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/schema1.png 758w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/schema1-300x209.png 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/a>\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-scaled.jpg\"><img decoding=\"async\" class=\"wp-image-15121 img-responsive aligncenter\" src=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-scaled.jpg\" alt=\"\" width=\"689\" height=\"310\" srcset=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-scaled.jpg 2560w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-300x135.jpg 300w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-1024x461.jpg 1024w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-768x346.jpg 768w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-1536x692.jpg 1536w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/photo1-2048x922.jpg 2048w\" sizes=\"(max-width: 689px) 100vw, 689px\" \/><\/a>\r\n\r\nA pulsed heating system is used to continuously calibrate the temperature measurement diodes. A reference temperature sensor is placed on the cold part of the cold head. This sensor is a CERNOX with a calibration certificate.\r\n\r\nPulsed heating creates a heat flow in the sample and measures conductivity:\r\n<p class=\"text-center\"><a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/lambda-e1746729797802.png\"><img decoding=\"async\" class=\"wp-image-15123 img-responsive aligncenter\" src=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/lambda-e1746729797802.png\" alt=\"\" width=\"317\" height=\"162\" srcset=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/lambda-e1746729797802.png 520w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/lambda-e1746729797802-300x153.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><\/a><\/p>\r\nWhere \u03bb is the conductivity, P is the injected power, e is the length between the two measurement points, S is the cross-sectional area of the copper bar and \u0394T is the temperature difference between the two measurement points.\r\n\r\nDuring the phases when the heating is switched off, the diodes are calibrated to give the most reliable measurement possible.\r\n\r\nAn example of temperature measurements is shown below:\r\n\r\n<a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graph1-eng.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-15118 img-responsive aligncenter\" src=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graph1-eng.png\" alt=\"\" width=\"726\" height=\"411\" srcset=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graph1-eng.png 980w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graph1-eng-300x170.png 300w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graph1-eng-768x435.png 768w\" sizes=\"(max-width: 726px) 100vw, 726px\" \/><\/a>\r\n\r\nAs the thermal diffusivity of copper is very high, steady-state conditions can be reached very quickly during both the calibration and conductivity measurement phases.\r\n\r\n&nbsp;\r\n<h2>Results<\/h2>\r\nThe measurement results are compared with the NIST values and presented in the graph below:\r\n\r\n<a href=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graphique-eng.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-15120 img-responsive aligncenter\" src=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graphique-eng.png\" alt=\"\" width=\"697\" height=\"402\" srcset=\"http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graphique-eng.png 947w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graphique-eng-300x173.png 300w, http:\/\/themacs-engineering.com\/wp-content\/uploads\/2025\/05\/graphique-eng-768x443.png 768w\" sizes=\"(max-width: 697px) 100vw, 697px\" \/>\r\n<\/a>\r\n<h2>Conclusion<\/h2>\r\nThe measurement chain has now been validated, but the accuracy of the measurements still needs to be confirmed.\r\n\r\nThe first measurements below 50K are not currently usable because the cold head was not regulated precisely enough. The measurements were made by letting the temperature rise slowly.\r\n\r\nFor copper, the next step will be to modify the experimental set-up so as to be able to extract the diffusivity of the pulsed regime and to regulate the temperature with a PID in order to carry out measurements down to 6K.\r\n\r\nThe measuring device will also be modified to measure the thermal conductivity and heat capacity of epoxy-type polymers.\r\n\r\n&nbsp;","protected":false},"excerpt":{"rendered":"Measurement of the thermal conductivity of copper in cryogenic conditions We have begun the first measurements under cryogenic conditions of the thermal conductivity of copper samples. Initial results are conclusive. &nbsp; Article avalable here : Mesure de la conductivit\u00e9 thermique du cuivre en condition cryog\u00e9niques en-GB Principle of the method The method adopted is specific [&hellip;]","protected":false},"author":3,"featured_media":15124,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[43,1],"tags":[],"class_list":["post-15129","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-actualites-en","category-non-classe"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.2 (Yoast SEO v25.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mesures de conductivit\u00e9 thermique en condition cryog\u00e9niques : r\u00e9sultats<\/title>\n<meta name=\"description\" content=\"Find out about thermal conductivity measurements in cryogenic conditions for copper 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