{"id":1337,"date":"2026-04-01T09:47:00","date_gmt":"2026-04-01T00:47:00","guid":{"rendered":"https:\/\/www.muratasoftware.com\/en_wacul_new\/fwp-new-wacul\/?post_type=case&#038;p=1337"},"modified":"2026-08-21T09:14:30","modified_gmt":"2026-08-21T00:14:30","slug":"wat010","status":"publish","type":"case","link":"https:\/\/www.muratasoftware.com\/en\/case\/wat010\/","title":{"rendered":"Transient Analysis Using Temperature Distribution in a Steady State"},"content":{"rendered":"\n<ul class=\"wp-block-list\">\n<li>Thermal Analysis<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table blockPattern__table\"><table><thead><tr><th>General<\/th><th>The heat source such as IC and LED on a substrate is switched off and cooled in the natural or forced convection. Time response of the cooling is analyzed.<\/th><\/tr><\/thead><tbody><tr><td>Analysis Model<\/td><td>An analysis model is shown in Fig. 1. Two heat sources are placed on a substrate. At first, steady-state analysis is performed. The resulting temperature distribution is obtained by a function of &#8220;Result Import,&#8221; and used for a transient analysis. Two heat sources are set to zero and time response of the temperature assuming the natural cooling is calculated in the transient analysis.<\/td><\/tr><tr><td>Result<\/td><td>Fig. 2 shows the temperature distribution by two heat sources in the steady-state analysis. Fig. 3 is a setup of &#8220;Result Import&#8221;. In Fig. 4, time response of temperature is plotted. As the graph shows, the temperature falls with time. Like this example, &#8220;Result Import&#8221; function allows more practical analysis of the temperature behavior.<\/td><\/tr><tr><td>Keywords<\/td><td>Result Import,Transient Analysis,Natural Air Cooling,Temperature Reduction,Transient Heat Conduction Analysis<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-columns blockPattern__column is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Fig. 1: Analysis Model<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb591ab5&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb591ab5\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"300\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3071\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_01.png\" alt=\"\" class=\"wp-image-3071\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_01.png 400w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_01-300x225.png 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Fig. 2: Steady-state Analysis Result<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb592716&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb592716\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"300\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3072\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_02.png\" alt=\"\" class=\"wp-image-3072\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_02.png 400w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure_02-300x225.png 300w\" sizes=\"auto, 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class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Fig. 3: Result Import Setting<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb592c29&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb592c29\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"478\" height=\"315\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3074\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-2.png\" alt=\"\" class=\"wp-image-3074\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-2.png 478w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-2-300x198.png 300w\" sizes=\"auto, (max-width: 478px) 100vw, 478px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Fig. 4: Time Response of Temperature<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb593040&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb593040\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"355\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3073\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-2.png\" alt=\"\" class=\"wp-image-3073\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-2.png 385w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-2-300x277.png 300w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 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