{"id":961,"date":"2026-04-01T10:05:00","date_gmt":"2026-04-01T01:05:00","guid":{"rendered":"https:\/\/www.muratasoftware.com\/en_wacul_new\/fwp-new-wacul\/?post_type=case&#038;p=961"},"modified":"2026-08-24T16:37:28","modified_gmt":"2026-08-24T07:37:28","slug":"mac004","status":"publish","type":"case","link":"https:\/\/www.muratasoftware.com\/en\/case\/mac004\/","title":{"rendered":"Acoustic Analysis of Flow Sensor in the Pipe"},"content":{"rendered":"\n<figure class=\"wp-block-table blockPattern__table\"><table><thead><tr><th>General<\/th><th>An analysis model is an ultrasonic sensor to detect the object flowing in the pipe. Time history is obtained for how the sound waves propagate when five sine waves are input.<\/th><\/tr><\/thead><tbody><tr><td>Analysis Model<\/td><td>A sensor is attached to the pipe. 2D analysis is performed.<\/td><\/tr><tr><td>Result<\/td><td>The sine waves are entered at the inlet. The sound pressure at the outlet is analyzed.<br>The result shows how the sound waves propagate.<\/td><\/tr><tr><td>Keywords<\/td><td>Piping, Ultrasonic Sensors, Acoustic Wave Propagation, Sound Pressure Analysis, Transient Analysis, Acoustic Analysis<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\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>Analysis Image<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad3d9a&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad3d9a\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"579\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig1e-5-1024x579.png\" alt=\"\" class=\"wp-image-3290\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig1e-5-1024x579.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig1e-5-300x170.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig1e-5-768x434.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig1e-5.png 1069w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Analysis Model and Material Property<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad4c2e&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad4c2e\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"579\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig2e-4-1024x579.png\" alt=\"\" class=\"wp-image-3291\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig2e-4-1024x579.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig2e-4-300x170.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig2e-4-768x434.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig2e-4.png 1070w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n<\/div>\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>Input Signal<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad51fc&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad51fc\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"578\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-5-1024x578.png\" alt=\"\" class=\"wp-image-3292\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-5-1024x578.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-5-300x169.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-5-768x433.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig3e-5.png 1067w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-left\">Open Boundary<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad56a2&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad56a2\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-5-1024x576.png\" alt=\"\" class=\"wp-image-3293\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-5-1024x576.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-5-300x169.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-5-768x432.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig4e-5.png 1068w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n<\/div>\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>Sound Pressure Change with Time<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad5b88&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad5b88\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"575\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig5e-4-1024x575.png\" alt=\"\" class=\"wp-image-3294\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig5e-4-1024x575.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig5e-4-300x169.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig5e-4-768x431.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig5e-4.png 1070w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-left\">Sound Pressure at the Receiver<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6baad64f5&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6baad64f5\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" 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\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig6e-2-1024x576.png\" alt=\"\" class=\"wp-image-3295\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig6e-2-1024x576.png 1024w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig6e-2-300x169.png 300w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig6e-2-768x432.png 768w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/fig6e-2.png 1069w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><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<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"featured_media":3289,"template":"","meta":{"_acf_changed":false},"case_category":[33],"class_list":["post-961","case","type-case","status-publish","has-post-thumbnail","hentry","case_category-mach"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case\/961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case"}],"about":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/types\/case"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/media\/3289"}],"wp:attachment":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/media?parent=961"}],"wp:term":[{"taxonomy":"case_category","embeddable":true,"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case_category?post=961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}