{"id":14635,"date":"2020-05-22T16:58:00","date_gmt":"2020-05-22T20:58:00","guid":{"rendered":"https:\/\/blogs.sw.siemens.com\/simcenter\/?p=14635"},"modified":"2026-03-26T06:21:24","modified_gmt":"2026-03-26T10:21:24","slug":"touch-temperature-part-2-coefficient-of-thermal-spreading-electronics","status":"publish","type":"post","link":"https:\/\/blogs.sw.siemens.com\/simcenter\/touch-temperature-part-2-coefficient-of-thermal-spreading-electronics\/","title":{"rendered":"Touch Temperature &#8211; Part 2: Coefficient of Thermal Spreading"},"content":{"rendered":"\n<p>Handheld, portable, battery powered electronics, such as a smartphone, have a thermal design constraint that limits the maximum &#8216;touchable&#8217; temperature on the surface of the device. What this touch temperature is, and how it is a function of the material properties of the object being touched, is covered by the preceding blogs in this series (ref. <a rel=\"noreferrer noopener\" href=\"https:\/\/blogs.sw.siemens.com\/simcenter\/touch-temperature-part-1-why-metal-sauna-benches-arent-a-thing\/\" target=\"_blank\">part 1 <\/a>and <a rel=\"noreferrer noopener\" href=\"https:\/\/blogs.sw.siemens.com\/simcenter\/touch-temperature-part-1a-why-woolen-sauna-hats-are-a-thing\/\" target=\"_blank\">1a<\/a>)<\/p>\n\n\n\n<p>In this part 2 on touch temperature, we&#8217;ll look into the uniformity of the surface temperature distribution and how that can be used to simulate a maximum allowable power dissipation, using Simcenter Flotherm.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">An Old Chunky Smartphone Example<\/h3>\n\n\n\n<p>Far far slimmer than they were, but also with increasingly large screens, older models look more and more brick like in comparison nowadays. Ultra low profile packages, die thinning,  advanced heat spreaders, improvements in battery technology, have all played into this trend.<\/p>\n\n\n\n<p>Winding the clock back a few years, I&#8217;ve chosen a generic chunky smartphone model and built a Simcenter Flotherm model of it.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"595\" height=\"497\" src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneExplodedView.png\" alt=\"\" class=\"wp-image-14732\" \/><figcaption>Exploded view of the smartphone assembly<\/figcaption><\/figure><\/div>\n\n\n\n<p>Although chunky from the outside, it&#8217;s remarkably complex and cluttered on the inside. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"608\" height=\"441\" src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhone3Views.png\" alt=\"\" class=\"wp-image-14734\" srcset=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhone3Views.png 608w, https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhone3Views-600x435.png 600w\" sizes=\"auto, (max-width: 608px) 100vw, 608px\" \/><figcaption>3 Views of the Model Internals<\/figcaption><\/figure><\/div>\n\n\n\n<p>Simcenter Flotherm excels at such applications, producing a full conjugate heat transfer simulation in a matter of minutes.<\/p>\n\n\n\n<figure class=\"wp-block-video aligncenter\"><video controls loop src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/Cutplane3.mp4\"><\/video><figcaption>Thermal simulation of Smartphone in Simcenter Flotherm<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">The Coefficient of Thermal Spreading, a Figure of Merit<\/h3>\n\n\n\n<p>Pioneered by engineers from Qualcomm Technologies and Stanford University, the <a rel=\"noreferrer noopener\" href=\"https:\/\/nanoheat.stanford.edu\/sites\/default\/files\/publications\/Electronics%20Cooling%20Article.pdf\" target=\"_blank\">coefficient of thermal spreading<\/a> (CTS) is a figure of merit that quantifies the non-uniformity of the distribution of surface temperature.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"99\" src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/CTSEquation.png\" alt=\"\" class=\"wp-image-14739\" srcset=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/CTSEquation.png 768w, https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/CTSEquation-600x77.png 600w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure><\/div>\n\n\n\n<p>If the average surface temperature also equals the maximum surface temperature then the surface temperature is completely uniform and CTS = 1. Values below 1.0 indicate some variation in surface temperature. The CTS value is automatically calculated by <a href=\"https:\/\/www.plm.automation.siemens.com\/global\/en\/products\/simcenter\/flotherm.html\" target=\"_blank\" rel=\"noreferrer noopener\">Simcenter Flotherm<\/a>:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"595\" height=\"436\" src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneCTS.png\" alt=\"\" class=\"wp-image-14740\" \/><figcaption>Coefficient of Thermal Spreading (CTS) of the Smartphone<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">What&#8217;s So Good About a Uniform Surface Temperature?<\/h3>\n\n\n\n<p>Given that the surface temperature must not exceed a standardised value that would cause injury\/discomfort, the &#8216;at limit&#8217; design of the phone would see the entire surface of the phone operate at that temperature. From a heat loss perspective, this would also result in a corresponding maximum allowable power dissipation.<\/p>\n\n\n\n<p>Easy enough to simulate the phone operating at a uniform maximum temperature, just set that as a boundary condition in Simcenter Flotherm. In this case a value of 45 degC is used:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"453\" height=\"734\" src=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneFixedTemperature.png\" alt=\"\" class=\"wp-image-14742\" srcset=\"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneFixedTemperature.png 453w, https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneFixedTemperature-370x600.png 370w\" sizes=\"auto, (max-width: 453px) 100vw, 453px\" \/><figcaption>Power dissipation at Maximum Touch Temperature<\/figcaption><\/figure><\/div>\n\n\n\n<p>The total heat loss from the phone under these conditions is 3.88W. As the only place that power can come from is from the electronics inside the phone, this is also the maximum possible power dissipation for all of the electronics!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Bigger is Often Better<\/h3>\n\n\n\n<p>As a figure of merit, the CTS can provide some guidance as to how good a design is, set some expectations as to whether there is scope to improve the design. The value of 0.764 is actually quite good, one of the advantages of older phones where, due to their thickness, there is more opportunity for the heat to spread prior to reaching the casing.<\/p>\n\n\n\n<p>With the original phone model dissipating a total of only 1.57W, and a relatively high CTS to play with, there is scope to consider an increased power budget. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The Psychology of Hot Spots<\/h3>\n\n\n\n<p>I heard once at a conference (one of those bar conversations that you don&#8217;t plan for and are usually fascinating) that we (humans) tend to correlate a felt hot spot temperature with a specific assumed product failure. This compared to when the entire surface of the product is at the same temperature where we are less likely to assume something has gone wrong.<\/p>\n\n\n\n<p>So, multiple reasons why a high CTS handheld product is desirable!  <\/p>\n","protected":false},"excerpt":{"rendered":"<p>A coefficient of thermal spreading and the psychology of hot spots, explained with the help of Simcenter Flotherm applied to handheld electronics and smartphones<\/p>\n","protected":false},"author":2666,"featured_media":14732,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spanish_translation":"","french_translation":"","german_translation":"","italian_translation":"","polish_translation":"","japanese_translation":"","chinese_translation":"","footnotes":""},"categories":[182],"tags":[242,86],"industry":[146,137,145,141,148],"product":[503],"coauthors":[9477],"class_list":["post-14635","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tips-tricks","tag-computational-fluid-dynamics-cfd","tag-simulation","industry-consumer-industrial-electronics","industry-consumer-products-retail","industry-electronics-semiconductors","industry-home-appliances-tools","industry-semiconductor-devices","product-simcenter-flotherm"],"featured_image_url":"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2020\/05\/SmartPhoneExplodedView.png","_links":{"self":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/14635","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/users\/2666"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/comments?post=14635"}],"version-history":[{"count":5,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/14635\/revisions"}],"predecessor-version":[{"id":15040,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/14635\/revisions\/15040"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/media\/14732"}],"wp:attachment":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/media?parent=14635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/categories?post=14635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/tags?post=14635"},{"taxonomy":"industry","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/industry?post=14635"},{"taxonomy":"product","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/product?post=14635"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/coauthors?post=14635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}