{"id":4431,"date":"2021-04-05T11:26:54","date_gmt":"2021-04-05T11:26:54","guid":{"rendered":"https:\/\/pickedshares.com\/?p=4431"},"modified":"2021-05-15T08:59:58","modified_gmt":"2021-05-15T08:59:58","slug":"heat-transfer-through-a-multilayer-wall","status":"publish","type":"post","link":"https:\/\/pickedshares.com\/en\/heat-transfer-through-a-multilayer-wall\/","title":{"rendered":"Heat transfer through a multilayer wall"},"content":{"rendered":"\n<p>With this online calculator, the heat transfer through a multi-layer wall with up to 3 layers can be calculated. In addition, the temperature profile in the individual wall layers is displayed in a diagram. Here is an <a href=\"https:\/\/pickedshares.com\/en\/thermal-conductivity-of-materials\/\" target=\"_blank\" rel=\"noreferrer noopener\">overview of the various thermal conductivity values<\/a>. Heat transfer coefficients are listed in a table at the bottom of this page.<\/p>\n\n\n\n<div style=\"display:grid;grid-template-columns: 50% 50%;\">\n  <div><label for=\"Ti\">Inner temperature T<sub>i<\/sub> in \u00b0C<\/label><\/div><div><input id=\"Ti\" type=\"text\"><\/div>\n  <div><label for=\"alphai\">Inner heat transfer coefficient \u03b1<sub>i<\/sub> in W\/(m<sup>2<\/sup>K)<\/label><\/div><div style=\"padding-bottom:0.5em;\"><input id=\"alphai\" type=\"text\"><\/div>\n  <div><label for=\"s1\">Wall thickness s<sub>1<\/sub> in mm<\/label><\/div><div><input id=\"s1\" type=\"text\"><\/div>\n  <div><label for=\"lambda1\">Thermal conductivity wall material 1 \u03bb<sub>1<\/sub> in W\/(mK)<\/label><\/div><div style=\"padding-bottom:0.5em;\"><input id=\"lambda1\" type=\"text\"><\/div>\n  <div><label for=\"s2\">Wall thickness s<sub>2<\/sub> in mm<\/label><\/div><div><input id=\"s2\" type=\"text\"><\/div>\n  <div><label for=\"lambda2\">Thermal conductivity wall material 2 \u03bb<sub>2<\/sub> in W\/(mK)<\/label><\/div><div style=\"padding-bottom:0.5em;\"><input id=\"lambda2\" type=\"text\"><\/div>\n  <div><label for=\"s3\">Wall thickness s<sub>3<\/sub> in mm<\/label><\/div><div><input id=\"s3\" type=\"text\"><\/div>\n  <div><label for=\"lambda3\">Thermal conductivity wall material 3 \u03bb<sub>3<\/sub> in W\/(mK)<\/label><\/div><div style=\"padding-bottom:0.5em;\"><input id=\"lambda3\" type=\"text\"><\/div>\n  <div><label for=\"Ta\">Outer temperature T<sub>a<\/sub> in \u00b0C<\/label><\/div><div><input id=\"Ta\" type=\"text\"><\/div>\n  <div><label for=\"alphaa\">Outer heat transfer coefficient \u03b1<sub>a<\/sub> in W\/(m<sup>2<\/sup>K)<\/label><\/div><div style=\"padding-bottom:0.5em;\"><input id=\"alphaa\" type=\"text\"><\/div>\n  <div><label for=\"A\">Surface area A in m<sup>2<\/sup><\/label><\/div><div><input id=\"A\" type=\"text\"><\/div>\n  <\/div>\n  <div style=\"padding-top:1rem;\"><input id=\"bcalc\" type=\"Button\" value=\"Calculate heat transfer\"><\/div>\n  <div id=\"output\" style=\"width:80%;\"><div style=\"padding-top:1em;\"><p id=\"pQ\"><\/p><\/div><div><canvas id=\"ctheta\"><\/canvas><\/div><\/div>\n\n<script src=\"https:\/\/ajax.googleapis.com\/ajax\/libs\/jquery\/3.5.1\/jquery.min.js\"><\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/chart.js@2.9.4\/dist\/Chart.min.js\"><\/script>\n<script src=\"https:\/\/pickedshares.com\/wp-content\/themes\/gp_child\/custom\/heatflow\/heatflow_en.js\"><\/script>\n\n\n\n<p>Note: the layer thickness of the heat transfer from the fluid to the wall depends on the respective flow conditions; it is shown here only symbolically. Since the heat transfer at these points is calculated here on the basis of the heat transfer coefficient, the layer thickness is not relevant.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Heat transfer coefficients<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Natural convection in<\/strong>:<\/td><td>\u03b1 in W\/(m<sup>2<\/sup>K)<\/td><\/tr><tr><td>Gases<\/td><td>3 ... 20<\/td><\/tr><tr><td>Water<\/td><td>100 ... 600<\/td><\/tr><tr><td>Boiling water<\/td><td>1000 ... 20000<\/td><\/tr><tr><td><strong>Forced convection in:<\/strong><\/td><td><\/td><\/tr><tr><td>Gases<\/td><td>10 ... 100<\/td><\/tr><tr><td>Fluids<\/td><td>50 ... 500<\/td><\/tr><tr><td>Water<\/td><td>500 ... 10000<\/td><\/tr><tr><td>Condensing steam<\/td><td>1000 ... 100000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Example calculation of heat transmission for a multilayer wall<\/h2>\n\n\n\n<p>A laboratory device should maintain an operating temperature of 80 \u00b0C inside. It has a housing wall made of aluminum with a wall thickness of 5 mm and a <a href=\"https:\/\/www.silca-online.de\/fileadmin\/2.pdf\/09.sicherheitsdatenblaetter\/de\/SDB_SILCAPOR_Ultra_950__D__1907-2006_1272-2008_01.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">microporous insulation board<\/a> with a thickness of 10 mm and a thermal conductivity of 0.022 W\/(mK). How big does the heating power have to be for the device if its surface is 0.5 m<sup>2<\/sup> and the ambient temperature is 15 \u00b0C?<\/p>\n\n\n\n<p>The values \u200b\u200bcan be entered directly into the calculation tool. Since there are only two walls, the fields for the third wall are left blank. The thermal conductivity value for aluminum is assumed to be 200 W\/(mK); it is free convection.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"611\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/entered-parameters.png\" alt=\"The entered values for the heat transfer calculation.\" class=\"wp-image-4437\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/entered-parameters.png 642w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/entered-parameters-300x286.png 300w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><figcaption>Entered values for the calculation<\/figcaption><\/figure>\n\n\n\n<p>After clicking on the \"Calculate heat transfer\" button, the heat flow and the temperature profile in the wall are displayed.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"671\" height=\"372\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/calculated-temperature-curve.png\" alt=\"The calculated temperature curve and heat transfer.\" class=\"wp-image-4439\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/calculated-temperature-curve.png 671w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/04\/calculated-temperature-curve-300x166.png 300w\" sizes=\"auto, (max-width: 671px) 100vw, 671px\" \/><figcaption>Der berechnete Temperaturverlauf<\/figcaption><\/figure>\n\n\n\n<p>The required heating power for the device is about 50 Watt.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is an online calculation tool for the determination of the heat transfer through a multilayer wall.<\/p>\n","protected":false},"author":1,"featured_media":4441,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[79,54],"tags":[],"class_list":["post-4431","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-engineering-en","category-tools-en","infinite-scroll-item","masonry-post","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Online calculator Heat transfer through a multilayer wall &#8226; pickedshares<\/title>\n<meta name=\"description\" content=\"Calculate the heat transfer through a multilayer wall with up to three layers. 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