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	<title>光滑粒子流體力學 - 星恆科技有限公司</title>
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	<title>光滑粒子流體力學 - 星恆科技有限公司</title>
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		<title>從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬</title>
		<link>https://www.simhex.com/case/%e5%be%9e%e5%99%b4%e5%98%b4%e5%88%b0%e6%8e%92%e6%b0%b4%e7%b3%bb%e7%b5%b1%ef%bc%9apreonlab%e5%8a%a9%e5%8a%9b%e6%b4%97%e7%a2%97%e6%a9%9f%e5%85%a8%e6%b5%81%e7%a8%8b%e8%a8%ad%e8%a8%88%e6%a8%a1%e6%93%ac/</link>
		
		<dc:creator><![CDATA[西姆赫克斯]]></dc:creator>
		<pubDate>Mon, 12 May 2025 04:09:40 +0000</pubDate>
				<category><![CDATA[最新消息]]></category>
		<category><![CDATA[解決方案]]></category>
		<category><![CDATA[AVL]]></category>
		<category><![CDATA[CAE軟體]]></category>
		<category><![CDATA[CFD]]></category>
		<category><![CDATA[PreonLab]]></category>
		<category><![CDATA[光滑粒子流體力學]]></category>
		<category><![CDATA[拉格朗日粒子法]]></category>
		<category><![CDATA[流體動力學]]></category>
		<category><![CDATA[無網格CFD]]></category>
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					<description><![CDATA[<p>從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬 AVL PreonLab CAE軟體 在洗碗機的設 [&#8230;]</p>
<p>這篇文章 <a href="https://www.simhex.com/case/%e5%be%9e%e5%99%b4%e5%98%b4%e5%88%b0%e6%8e%92%e6%b0%b4%e7%b3%bb%e7%b5%b1%ef%bc%9apreonlab%e5%8a%a9%e5%8a%9b%e6%b4%97%e7%a2%97%e6%a9%9f%e5%85%a8%e6%b5%81%e7%a8%8b%e8%a8%ad%e8%a8%88%e6%a8%a1%e6%93%ac/">從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬</a> 最早出現於 <a href="https://www.simhex.com">星恆科技有限公司</a>。</p>
]]></description>
										<content:encoded><![CDATA[
<p class="has-text-align-center has-small-font-size">從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬</p>



<h2 class="wp-block-heading has-black-color has-text-color has-link-color has-medium-font-size wp-elements-bccacae33342ec1c8088388baf7c8f1b" id="h-avl-preonlab-cae軟體-在洗碗機的設計中能做到">AVL PreonLab CAE軟體 在洗碗機的設計中能做到?</h2>



<p class="has-black-color has-text-color has-link-color wp-elements-db3658cfec3442d57119dfccdac4649b" style="font-size:16px">工程師可以透過 CFD 模擬分析和優化洗碗機設計的許多方面，包括：</p>



<p class="has-black-color has-text-color has-link-color wp-elements-c3e73ce9ce4d40842b8cecfc9a36569b" style="font-size:16px"><strong>優化噴嘴：</strong></p>



<p class="has-black-color has-text-color has-link-color wp-elements-e274c06bad9b2b3ced27f798097c8c54" style="font-size:16px">了解改變噴嘴幾何參數（尺寸、形狀、位置、數量）對整體噴霧效果的影響，以確保最佳的水分佈和清潔效率。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-9bf8cbca571f5c05a7035907531de3fb" style="font-size:16px"><strong>改進洗碗籃和架子設計：</strong></p>



<p class="has-black-color has-text-color has-link-color wp-elements-391075a9788812d7469558bd5933ab35" style="font-size:16px">通過有效利用內部空間來提高洗碗機的容量，例如改變洗碗籃的設計以增加餐具容納量，並優化其放置位置以增加洗碗架的總數。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-223a8a020189387ea6f5d5e17ccceba8" style="font-size:16px"><strong>分析葉輪和管道系統中的流體流動：</strong></p>



<p class="has-black-color has-text-color has-link-color wp-elements-117d50856bd2e52a9a9b2783ccbe2ed3" style="font-size:16px">模擬洗碗機內部組件（如葉輪和管道系統）中的流體流動，以提取有關流體量、速度以及不同運行條件下這些組件內流體所施加的力的資訊。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-ed29a5e3156c8523cf05ce5beb881afc" style="font-size:16px"><strong>優化餐具排列：</strong></p>



<p class="has-black-color has-text-color has-link-color wp-elements-de69c15b7a77714aca5b9261e8a0b7af" style="font-size:16px">從客戶的角度來看，了解洗碗機內餐具的最佳排列方式，以確保常用餐具的最佳清潔效果。製造商可以通過模擬獲得這些資訊，並向客戶提供最佳實踐建議。</p>



<h2 class="wp-block-heading has-black-color has-text-color has-link-color has-medium-font-size wp-elements-93754f7fb963ef67a8d4d869c19e8229" id="h-sph和preonlab的特別優勢是什麼"><strong>SPH和PreonLab的特別優勢是什麼？</strong></h2>



<figure class="wp-block-image size-large"><img fetchpriority="high" decoding="async" width="1024" height="576" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1024x576.webp" alt="PreonLab無網格CFD" class="wp-image-3885" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1024x576.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-300x169.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-768x432.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-800x450.webp 800w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-7ece1e8afe339514d6d9380297b9ca10" style="font-size:16px"><strong>PreonLab </strong>CAE軟體 是一款領先的基於粒子的模擬工具，其基於平滑粒子 流體動力學（SPH）方法的PREON®技術，特別適用於涉及自由表面流動的模擬。</li>



<li class="has-black-color has-text-color has-link-color wp-elements-20bed7f7e5163ef4ed446600cdb28a12" style="font-size:16px"><strong>無網格特性：</strong><br>PreonLab的無網格特性消除了在每次設計變更迭代後對複雜幾何體進行網格劃分的需要，從而節省了大量時間和精力。</li>



<li class="has-black-color has-text-color has-link-color wp-elements-14feac6a9c1205feace83531f06d3b8d" style="font-size:16px"><strong>一體化工具：</strong><br>PreonLab是一個一體化工具，可以處理從幾何體導入到模擬設置、後處理和渲染的所有模擬方面。</li>



<li class="has-black-color has-text-color has-link-color wp-elements-c9e25533367c5faa462d54a0f4c6e9de" style="font-size:16px"><strong>高性能：</strong><br>PreonLab支持CPU和多GPU上的模擬，以確保最佳的模擬性能。其獨特的隱式公式增加了SPH的固有性能優勢，並允許使用較大的時間步長（CFL 1）進行模擬，而不會影響穩定性。</li>



<li class="has-black-color has-text-color has-link-color wp-elements-404f36df39439ddf550eea4fb3bcc55a" style="font-size:16px"><strong>Python API（PreonPy）：</strong><br>PreonLab配備了基於Python的API（PreonPy），允許用戶加載和保存場景、更改屬性、運行模擬和獲取統計資訊，這對於創建多個模擬變體非常有用，由於操作條件、噴嘴幾何形狀、噴臂運動學、流體特性或餐具和碗碟架佈置的變化，創建多個模擬變體可能是必要的。</li>
</ul>



<figure class="wp-block-image size-large"><img decoding="async" width="1024" height="576" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1-1024x576.webp" alt="Python API" class="wp-image-3886" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1-1024x576.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1-300x169.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1-768x432.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1-800x450.webp 800w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-1.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<h2 class="wp-block-heading has-black-color has-text-color has-link-color has-medium-font-size wp-elements-5a1dc7390b14c43590cac13e167ed944" id="h-avl-preonlab-cae軟體-中的模擬和後處理">AVL <strong>PreonLab CAE軟體 中的模擬和後處理</strong></h2>



<p class="has-black-color has-text-color has-link-color wp-elements-a0702a27c12a0efc2019c991ec454791" style="font-size:16px"><strong>• 洗碗機模擬：</strong><br>AVL PreonLab 可以進行單相和多相模擬，以分析水流和污垢去除。</p>



<figure class="wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<p class="responsive-video-wrap clr"><iframe title="PreonLab 中單相模擬 洗碗機" width="1200" height="675" src="https://www.youtube.com/embed/pT70-pTtSDg?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></p>
</div></figure>



<p class="has-black-color has-text-color has-link-color wp-elements-af444de032769afde259003bf4e710d7" style="font-size:16px">影片 1 展示了 PreonLab 中單相模擬的一個範例。代表水的流體粒子從噴臂噴嘴噴出，並將水噴灑在固體餐具上。模擬結果使用內建的 PreonRenderer 渲染。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-7fc7f2160584cba272f8edc612966f07" style="font-size:16px">此外，還可以進行多相模擬來分析污垢去除。可以利用牛頓和非牛頓材料特性來模擬餐具上的食物殘渣，並研究洗碗機的清潔效率。</p>



<figure class="wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<p class="responsive-video-wrap clr"><iframe title="PreonLab洗碗機除污模擬（多相）" width="1200" height="675" src="https://www.youtube.com/embed/TG5gcUFC_ss?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></p>
</div></figure>



<p class="has-black-color has-text-color has-link-color wp-elements-c33c6902d82c6af07acd8540ee159709" style="font-size:16px">影片 2 展示了模擬中水刀如何清除沉積在某些盤子上的番茄醬狀和南瓜湯狀殘留物的範例。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-296063351dea246ca9fb4b3ae5a00819" style="font-size:16px"><br><strong>• 可以獲得哪些見解？</strong></p>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-5f6cc550f3d60c3d95acf80a7797c0f0" style="font-size:16px"><strong>濕潤感測器：</strong>用於分析噴嘴形狀和方向對水分佈的影響。</li>
</ul>



<figure class="wp-block-image size-large"><img decoding="async" width="1024" height="459" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-2-1024x459.webp" alt="從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬
流體動力學 CFD CAE軟體" class="wp-image-3887" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-2-1024x459.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-2-300x135.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-2-768x345.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-2.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<div style="height:18px" aria-hidden="true" class="wp-block-spacer"></div>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-3938b1b9b5ec0b78c2690bec3280a028" style="font-size:16px"><strong>剛體求解器：</strong>模擬噴臂與水之間的相互作用。</li>
</ul>



<figure class="wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<p class="responsive-video-wrap clr"><iframe title="PreonLab剛體求解器" width="1200" height="675" src="https://www.youtube.com/embed/bNiD9babmI8?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></p>
</div></figure>



<div style="height:18px" aria-hidden="true" class="wp-block-spacer"></div>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-d6701000d3bf61e87f69021122a996c2" style="font-size:16px"><strong>濕潤感測器和力感測器：</strong>用於分析餐具的濕潤程度和剪切力分佈，以確保清潔效率和避免損壞。</li>
</ul>



<figure class="wp-block-image size-large"><img loading="lazy" decoding="async" width="1024" height="315" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-3-1024x315.webp" alt="從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬
流體動力學 CFD CAE軟體" class="wp-image-3888" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-3-1024x315.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-3-300x92.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-3-768x236.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-3.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<figure class="wp-block-image size-large"><img loading="lazy" decoding="async" width="1024" height="576" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4-1024x576.webp" alt="從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬
流體動力學 CFD CAE軟體" class="wp-image-3889" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4-1024x576.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4-300x169.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4-768x432.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4-800x450.webp 800w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-4.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<figure class="wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<p class="responsive-video-wrap clr"><iframe title="PreonLab在濕潤感測器和力感測器的模擬" width="1200" height="675" src="https://www.youtube.com/embed/XPCE4IFU9u8?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></p>
</div></figure>



<div style="height:18px" aria-hidden="true" class="wp-block-spacer"></div>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-94815a4b0f5b2edce19bdcb9be096084" style="font-size:16px"><strong>水坑形成：</strong>預測餐具中殘留的液體量，並優化籃子設計或餐具放置。</li>
</ul>



<figure class="wp-block-image size-large"><img loading="lazy" decoding="async" width="1024" height="576" src="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5-1024x576.webp" alt="從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬
流體動力學 CFD CAE軟體" class="wp-image-3890" srcset="https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5-1024x576.webp 1024w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5-300x169.webp 300w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5-768x432.webp 768w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5-800x450.webp 800w, https://www.simhex.com/wp-content/uploads/2025/05/從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬-5.webp 1440w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<div style="height:18px" aria-hidden="true" class="wp-block-spacer"></div>



<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-a9b7a0017d5bef539848580094749316" style="font-size:16px"><strong>共軛熱傳遞（CHT）：</strong>分析清洗過程的熱力學，例如熱水射流對餐具的溫度影響。</li>
</ul>



<figure class="wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<p class="responsive-video-wrap clr"><iframe title="PreonLab 共軛熱傳遞（CHT）" width="1200" height="675" src="https://www.youtube.com/embed/j30vbnkM32A?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></p>
</div></figure>



<h2 class="wp-block-heading has-text-align-center has-white-color has-black-background-color has-text-color has-background has-link-color has-medium-font-size wp-elements-f0992837e82d5578ff82d546efdbd041" id="h-nbsp-總結-nbsp-nbsp"><strong><strong>&nbsp; 總結&nbsp;&nbsp;</strong></strong></h2>



<p class="has-black-color has-text-color has-link-color wp-elements-1c3f1733c25cc49f2889e3145db7d1b8" style="font-size:16px">AVL PreonLab CAE軟體的廣泛模擬和後處理功能使其能夠分析和優化洗碗機設計和清潔效率的各個方面。其高效的求解器程式碼、無網格要求、多平台支持和便捷的Python API（PreonPy）加速了模擬工作流程，並允許用戶快速模擬各種設計和操作條件。</p>



<div style="height:100px" aria-hidden="true" class="wp-block-spacer"></div>



<p class="has-black-color has-text-color has-link-color wp-elements-bff352093889ccabacc8d3f7f1d3ea83" style="font-size:16px"><a href="https://www.simhex.com/contact-us/">星恆</a>擁有可靠的技術與人才，有任何相關問題都歡迎來信或來電討論指教，幫您量身打造符合需求的解決方案。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-186691777ebf9515603d9d9ddb9b910b" style="font-size:16px">想 更 清 楚 的 了 解 從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬&nbsp; &nbsp;，歡 迎 來 電 (02)2712-8448 或是 <a href="https://www.simhex.com/contact-us/">來 信</a>。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-c34eaecaa9d2b074e3c73f8c90305d53" style="font-size:16px">If you want to know more details from AVL <a href="https://www.simhex.com/preonlab-%E7%84%A1%E7%B6%B2%E6%A0%BCcfd/">Preonlab</a> ,please contact <a href="https://www.simhex.com/contact-us/">Simhex</a>.</p>



<div style="height:34px" aria-hidden="true" class="wp-block-spacer"></div>



<h2 class="wp-block-heading has-text-color has-link-color wp-elements-d8c0281e7a8a0097b1b8082b7617ba4c" id="h-avl-preonlab-的優勢" style="color:#0014ff">AVL <strong>Preonlab 的優勢</strong></h2>



<p class="has-black-color has-text-color has-link-color wp-elements-be80560cd2ddd1759596a07ed5b920f3" style="font-size:16px">AVL Preonlab 是一款無網格的 CFD 分析工具，不受限於複雜的前處理過程、或是移動網格的生成手法，對於涉及複雜幾何與動態過程的模擬具有先天的優勢，重要功能特色有以下幾點：</p>



<p class="has-black-color has-text-color has-link-color wp-elements-f46b347b1b6f0405d704bb34fe28369b" style="font-size:16px">◆ 連續粒子尺寸設置 (Continuous Particle Size, CPS)</p>



<p class="has-black-color has-text-color has-link-color wp-elements-f05c49b8bdd21eb12fbd3b1a0a3ea0b8" style="font-size:16px">◆ 壁面粒子細化功能</p>



<p class="has-black-color has-text-color has-link-color wp-elements-57c2bc339111c20d90dcb2b0599d6d67" style="font-size:16px">◆ 基於 Keyframe 功能的運動規律定義</p>



<p class="has-black-color has-text-color has-link-color wp-elements-c61a96b37b8c516190cd23736bc3cbfa" style="font-size:16px">◆ 通過後處理傳感器 (sensor) ，進行受力、液體分佈、濕壁位置等分析</p>



<p class="has-black-color has-text-color has-link-color wp-elements-35be304a20b6eea61bf0d6e713618b6e" style="font-size:16px">◆ 基於 Preonlab 的 python API：PreonPy，提升建模與後處理的效率</p>



<p class="has-black-color has-text-color has-link-color wp-elements-f50dfbef3d66ae257dda067a9a81b12d" style="font-size:16px">◆ Preonlab 可以輸出真實感的渲染效果動畫</p>



<p class="has-black-color has-text-color has-link-color wp-elements-4ab86509ecc34a3fe9458f8ffe312be1"><strong>Advantages of Using PreonLab</strong></p>



<p class="has-black-color has-text-color has-link-color wp-elements-251c7f21812139930e285bffa882103d">PreonLab is a meshless CFD analysis tool that avoids the complexities of traditional preprocessing or the generation of moving meshes. It is particularly advantageous for simulating scenarios involving complex geometries and dynamic processes. Key features include:</p>



<p class="has-black-color has-text-color has-link-color wp-elements-4df5bc8713ac6047f86aefc1fc7bb437">◆ <strong>Continuous Particle Size (CPS):</strong> Enables flexible particle size configurations for enhanced simulation accuracy.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-13b86e6fa1ee480768d97056364e7629">◆ <strong>Wall Particle Refinement:</strong> Allows detailed resolution near walls for more precise results.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-852d14985cffdf8cb710037670be3689">◆ <strong>Keyframe-Based Motion Definition:</strong> Facilitates the intuitive setup of motion patterns.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-bc33018ccc828690ecf19035e7f7c737">◆ <strong>Post-Processing Sensors:</strong> Analyze forces, liquid distribution, and wet wall locations using embedded sensors.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-c63c4aab32530daf0579280b990df925">◆ <strong>Python API (PreonPy):</strong> Boosts modeling and post-processing efficiency with scripting capabilities.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-36e1536b1e04d9e9d2e31058166ad753">◆ <strong>Realistic Rendering Animations:</strong> Outputs high-quality, realistic animations for better visualization.</p>



<h2 class="wp-block-heading has-text-color has-link-color wp-elements-7b71b26abae8f5654b2102357f061f99" id="h-avl-preonlab的運作方式" style="color:#0014ff">AVL <strong>PreonLab的運作方式</strong></h2>



<p class="has-black-color has-text-color has-link-color wp-elements-ca5d987f89132454edb10dc49fce41af" style="font-size:16px">與傳統的計算 流體動力學  ( CFD ) 不同，PreonLab 的模擬採用無網格技術。這不僅簡化了模型的建立過程，也在模擬牛頓流體和非牛頓流體時提供了快速且高效的處理時間。不論您是進行趨勢分析還是尋求精準的預測，PreonLab 都能滿足需求。</p>



<p class="has-black-color has-text-color has-link-color wp-elements-d3e5cd4afe05ade1434576efda31428e" style="font-size:16px">在軟體開發過程中，易用性一直是特別重要的考量。因此，PreonLab 被設計成讓每位用戶只需稍加培訓便能直覺地應用於日常工作中。</p>



<figure class="wp-block-pullquote has-black-color has-text-color has-link-color has-medium-font-size wp-elements-4189b29b77199bfddbfd7f7ad3c41c11"><blockquote><p><em><strong>在不犧牲結果品質的前提下，使開發過程儘可能高效。</strong></em></p></blockquote></figure>



<p class="has-black-color has-text-color has-link-color wp-elements-01dd851afe104762070bc5e900aaf4a7"><strong>How PreonLab Works</strong><br>In contrast to classical CFD , the simulations in PreonLab are meshless. This not only simplifies model creation. It gives you short and powerful turnaround times when simulating Newtonian and non-Newtonian fluids. Regardless of whether you want trend analysis or precise predictions.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-41304291e596d87699389421490260ab">Ease of use was and still is particularly important in the development of the software. Thus, it was designed so that every user can use it intuitively in his daily work with a little training.</p>



<p class="has-black-color has-text-color has-link-color wp-elements-6b78a1ebe3fca661fe2cb760ed3bc75b">The goal has always been: to make development as efficient as possible without compromising on the quality of the results.</p>



<ul class="wp-block-list">
<li class="has-medium-font-size"><strong>延伸閱讀</strong>
<ul class="wp-block-list">
<li class="has-black-color has-text-color has-link-color wp-elements-afd4aa797509e449a3d0658979fc84bb" style="font-size:16px"><a href="https://www.simhex.com/news/%e9%9b%bb%e6%b3%b3%e5%84%aa%e5%8c%96-avl-preonlab-cfd%e8%a8%88%e7%ae%97%e6%b5%81%e9%ab%94%e5%8a%9b%e5%ad%b8/">電泳優化 (下)</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-798227d62e5ac4e1280914f1ff2190ad" style="font-size:16px"><a href="https://www.simhex.com/news/%e9%9b%bb%e6%b3%b3%e5%84%aa%e5%8c%96-avl-preonlab-cfd%e8%a8%88%e7%ae%97%e6%b5%81%e9%ab%94%e5%8a%9b%e5%ad%b8/">電泳優化 (上)</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-7d369db1e9621bee18f72536ad943197" style="font-size:16px"><a href="https://www.simhex.com/case/information/preonlab%e5%85%89%e6%bb%91%e7%b2%92%e5%ad%90%e5%88%86%e6%9e%90/">PreonLab光滑粒子分析 CPS與自適應細化功能應用</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-14bda1192c23a159b7db302785835abd" style="font-size:16px"><a href="https://www.avl.com/-/preonlab-5-1-release">AVL PreonLab 5.1 Release</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-1cd6ba5893d207fa32f06398ea5782d3" style="font-size:16px"><a href="https://www.simhex.com/preonlab-%e7%84%a1%e7%b6%b2%e6%a0%bccfd/">AVL PreonLab 無網格CFD模擬技術</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-f6336348419d49cc0b61200fb07944b6" style="font-size:16px"><a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">新版 PreonLab 5.1 發布: 更貼近真實應用</a></li>



<li class="has-black-color has-text-color has-link-color wp-elements-2c3598f18f06fa055d45ea9e0badf0ad" style="font-size:16px"><a href="https://www.simhex.com/case/information/preonlab%e7%84%a1%e7%b6%b2%e6%a0%bc%e5%85%89%e6%bb%91%e7%b2%92%e5%ad%90%e6%b5%81%e5%a0%b4%e5%88%86%e6%9e%90/">新版PreonLab 5.2 無網格光滑粒子流場分析</a></li>
</ul>
</li>
</ul>
<p>這篇文章 <a href="https://www.simhex.com/case/%e5%be%9e%e5%99%b4%e5%98%b4%e5%88%b0%e6%8e%92%e6%b0%b4%e7%b3%bb%e7%b5%b1%ef%bc%9apreonlab%e5%8a%a9%e5%8a%9b%e6%b4%97%e7%a2%97%e6%a9%9f%e5%85%a8%e6%b5%81%e7%a8%8b%e8%a8%ad%e8%a8%88%e6%a8%a1%e6%93%ac/">從噴嘴到排水系統：PreonLab助力洗碗機全流程設計模擬</a> 最早出現於 <a href="https://www.simhex.com">星恆科技有限公司</a>。</p>
]]></content:encoded>
					
		
		
			</item>
		<item>
		<title>PreonLab 計算多種 結構 材質之間的 熱傳導</title>
		<link>https://www.simhex.com/case/information/preonlab%e5%a4%9a%e7%a8%ae%e7%b5%90%e6%a7%8b%e6%9d%90%e8%b3%aa%e9%96%93%e7%86%b1%e5%82%b3%e5%b0%8e/</link>
		
		<dc:creator><![CDATA[西姆赫克斯]]></dc:creator>
		<pubDate>Wed, 06 Jul 2022 08:11:53 +0000</pubDate>
				<category><![CDATA[技術資料]]></category>
		<category><![CDATA[最新消息]]></category>
		<category><![CDATA[AVL]]></category>
		<category><![CDATA[CFD]]></category>
		<category><![CDATA[PreonLab]]></category>
		<category><![CDATA[Simhex]]></category>
		<category><![CDATA[光滑粒子流體力學]]></category>
		<category><![CDATA[共軛熱傳]]></category>
		<category><![CDATA[無網格]]></category>
		<category><![CDATA[無網格CFD]]></category>
		<category><![CDATA[熱傳導]]></category>
		<category><![CDATA[粒子法]]></category>
		<category><![CDATA[複合結構熱傳導]]></category>
		<category><![CDATA[變速箱潤滑]]></category>
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		<guid isPermaLink="false">https://www.simhex.com/?p=2168</guid>

					<description><![CDATA[<p> PreonLab 計算多種 結構 材質之間的 熱傳導  &#160; 不同的 結構 材質擁有不同的 熱傳導  [&#8230;]</p>
<p>這篇文章 <a href="https://www.simhex.com/case/information/preonlab%e5%a4%9a%e7%a8%ae%e7%b5%90%e6%a7%8b%e6%9d%90%e8%b3%aa%e9%96%93%e7%86%b1%e5%82%b3%e5%b0%8e/">PreonLab 計算多種 結構 材質之間的 熱傳導</a> 最早出現於 <a href="https://www.simhex.com">星恆科技有限公司</a>。</p>
]]></description>
										<content:encoded><![CDATA[<p><span style="font-size: 12px;"><em> PreonLab 計算多種 結構 材質之間的 熱傳導 </em></span></p>
<p>&nbsp;</p>
<p>不同的 結構 材質擁有不同的 熱傳導 系數，組成兩層以上的牆，以下稱為複合結構牆。</p>
<p>圖1為一面三層的複合結構牆，並假設整面牆均勻加熱，溫度變化只存在於法線方向，當結構牆達穩態時，溫度分布僅取決於壁厚，每一層 結構 因不同 熱傳導 系數導致溫度梯度(斜率)不同，圖1中紅線為溫度分布結果。</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><figure id="attachment_2181" aria-describedby="caption-attachment-2181" style="width: 724px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2181 size-full" title=" PreonLab 複合 結構 牆的一維 熱傳導 分析" src="https://www.simhex.com/wp-content/uploads/2022/07/複合結構牆的一維熱傳導分析.png" alt=" PreonLab 複合 結構 牆的一維 熱傳導 分析" width="724" height="613" srcset="https://www.simhex.com/wp-content/uploads/2022/07/複合結構牆的一維熱傳導分析.png 724w, https://www.simhex.com/wp-content/uploads/2022/07/複合結構牆的一維熱傳導分析-300x254.png 300w" sizes="(max-width: 724px) 100vw, 724px" /><figcaption id="caption-attachment-2181" class="wp-caption-text"><span style="font-size: 12px;">圖1: 複合結構牆的一維熱傳導分析</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>在穩態中，熱通量已知為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2180" src="https://www.simhex.com/wp-content/uploads/2022/07/熱通量.png" alt="在穩態中熱通量" width="1518" height="137" srcset="https://www.simhex.com/wp-content/uploads/2022/07/熱通量.png 1518w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-300x27.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-1024x92.png 1024w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-768x69.png 768w" sizes="(max-width: 1518px) 100vw, 1518px" /></p>
<p>&nbsp;</p>
<p>重新排列後：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2183" src="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-1.png" alt="重新排列後的熱通量" width="678" height="191" srcset="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-1.png 678w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-1-300x85.png 300w" sizes="(max-width: 678px) 100vw, 678px" /></p>
<p>其中：</p>
<p>Q 熱通量</p>
<p>Τ<sub>1</sub> to Τ<sub>4</sub> 不同結構層交界面的溫度</p>
<p>χ<sub>1</sub> to χ<sub>4</sub> 不同結構層的厚度</p>
<p>κ<sub>1</sub> to κ<sub>4</sub> 不同結構層的熱傳導係數</p>
<p>A 邊界的表面積</p>
<p>&nbsp;</p>
<p>使用者可以在壁面上設定熱通量或溫度做為邊界條件。在 <a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">PreonLab </a>中，當牆面有兩層以上時至少需要兩個求解器，同時交互求解共軛熱傳模型(CHT, Conjugate Heat Transfer)。</p>
<p>&nbsp;</p>
<p>5個案例由簡單至複雜，表面積A皆為1平方公尺，結果以百分比型式的相對誤差呈現。</p>
<p>&nbsp;</p>
<p><span style="background-color: #ebebeb;"><strong>案例1 </strong><strong>單層牆面</strong></span></p>
<p><figure id="attachment_2179" aria-describedby="caption-attachment-2179" style="width: 661px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2179 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab.png" alt="PreonLab計算單層牆面 " width="661" height="608" srcset="https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab.png 661w, https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab-300x276.png 300w" sizes="(max-width: 661px) 100vw, 661px" /><figcaption id="caption-attachment-2179" class="wp-caption-text"><span style="font-size: 12px;">圖二: 案例1</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>依照方程式(1)，熱通量為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2184" src="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-2.png" alt="單層牆面熱通量" width="910" height="162" srcset="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-2.png 910w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-2-300x53.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-2-768x137.png 768w" sizes="(max-width: 910px) 100vw, 910px" /></p>
<p>其中：</p>
<p><span style="font-size: 16px;">κ<sub>1 </sub>= 1Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p><span style="font-size: 16px;">χ<sub>1 </sub>= 1m</span></p>
<p><span style="font-size: 16px;">Τ<sub>1 </sub>= 10℃ </span></p>
<p><span style="font-size: 16px;">Τ<sub>2 </sub>= 0℃</span></p>
<p>熱通量理論值為10 W/m<sup>2</sup>，且隨著法線方向的溫度分布為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2185" src="https://www.simhex.com/wp-content/uploads/2022/07/熱通量理論值為10W-m2且隨著法線方向的溫度分布.png" alt="熱通量理論值為10W m2且隨著法線方向的溫度分布" width="845" height="144" srcset="https://www.simhex.com/wp-content/uploads/2022/07/熱通量理論值為10W-m2且隨著法線方向的溫度分布.png 845w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量理論值為10W-m2且隨著法線方向的溫度分布-300x51.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量理論值為10W-m2且隨著法線方向的溫度分布-768x131.png 768w" sizes="(max-width: 845px) 100vw, 845px" /></p>
<p>在 <a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">PreonLab </a>中，使用粒子大小20mm之熱通量Q<sub>1</sub>計算結果為10.07 W/m<sup>2</sup>(0.7%)。</p>
<p>圖三中包括溫度分布結果與比對圖。</p>
<p><figure id="attachment_2178" aria-describedby="caption-attachment-2178" style="width: 666px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2178 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab-分析.png" alt=" PreonLab 在單層 結構 下分析 熱傳導 的結果" width="666" height="704" srcset="https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab-分析.png 666w, https://www.simhex.com/wp-content/uploads/2022/07/單層牆面-PreonLab-分析-284x300.png 284w" sizes="(max-width: 666px) 100vw, 666px" /><figcaption id="caption-attachment-2178" class="wp-caption-text"><span style="font-size: 12px;">圖三: 案例1結果</span></figcaption></figure></p>
<p>&nbsp;</p>
<p><span style="background-color: #ebebeb;"><strong>案例2 </strong><strong>兩層牆面相同材質</strong></span></p>
<p>增加一層相同材質的結構，以測試最簡單的CHT多求解器。</p>
<p><figure id="attachment_2176" aria-describedby="caption-attachment-2176" style="width: 621px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2176 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面相同材質-PreonLab.png" alt="增加一層相同材質的結構，以測試最簡單的CHT多求解器" width="621" height="546" srcset="https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面相同材質-PreonLab.png 621w, https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面相同材質-PreonLab-300x264.png 300w" sizes="(max-width: 621px) 100vw, 621px" /><figcaption id="caption-attachment-2176" class="wp-caption-text"><span style="font-size: 12px;"> 圖四: 案例2</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>熱通量為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2186" src="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-3.png" alt="兩層牆面相同材質熱通量" width="643" height="183" srcset="https://www.simhex.com/wp-content/uploads/2022/07/熱通量-3.png 643w, https://www.simhex.com/wp-content/uploads/2022/07/熱通量-3-300x85.png 300w" sizes="(max-width: 643px) 100vw, 643px" /></p>
<p>其中：</p>
<p><span style="font-size: 16px;">κ<sub>1 </sub>=  κ<sub>2 </sub>= 1Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p><span style="font-size: 16px;">χ<sub>1 </sub>= χ<sub>2</sub> = 0.5m</span></p>
<p><span style="font-size: 16px;">Τ<sub>1 </sub>= 10℃ </span></p>
<p><span style="font-size: 16px;">Τ<sub>3 </sub>= 0℃</span></p>
<p>在交界面上的溫度可視為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2187" src="https://www.simhex.com/wp-content/uploads/2022/07/交界面上的溫度.png" alt="交界面上的溫度" width="599" height="157" srcset="https://www.simhex.com/wp-content/uploads/2022/07/交界面上的溫度.png 599w, https://www.simhex.com/wp-content/uploads/2022/07/交界面上的溫度-300x79.png 300w" sizes="(max-width: 599px) 100vw, 599px" /></p>
<p>熱通量理論值為10 W/m<sup>2</sup>，且<span style="font-size: 16px;">Τ<sub>2 </sub>= 5℃</span>。於PreonLab中，第一層牆面的左側是使用流體求解器，右側則使用結構求解器，使用粒子大小20mm的計算結果為：</p>
<p><span style="font-size: 16px;">Q<sub>1 </sub>= 10.05W/m<sup>2 </sup>(0.5%)</span></p>
<p><span style="font-size: 16px;">Q<sub>2 </sub>= 9.24W/m<sup>2 </sup>(-7.6%)</span></p>
<p><span style="font-size: 16px;">Τ<sub>2 </sub>= 4.87℃ (-2.6%)</span></p>
<p><a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/"> PreonLab </a>也接受在不同求解器中設定不同的顆粒大小，以下為左側25mm，右側50mm的計算結果：</p>
<p><figure id="attachment_2173" aria-describedby="caption-attachment-2173" style="width: 821px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2173 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-熱傳導.png" alt=" PreonLab 在兩層相同 結構 下分析 熱傳導 的結果" width="821" height="453" srcset="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-熱傳導.png 821w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-熱傳導-300x166.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-熱傳導-768x424.png 768w" sizes="(max-width: 821px) 100vw, 821px" /><figcaption id="caption-attachment-2173" class="wp-caption-text"><span style="font-size: 12px;"> 圖五: 不同顆粒大小的熱傳結果</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="background-color: #ebebeb;"><strong>案例3 </strong><strong>兩層牆面兩種材質</strong></span></p>
<p><figure id="attachment_2175" aria-describedby="caption-attachment-2175" style="width: 619px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-full wp-image-2175" src="https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面兩種材質-PreonLab.png" alt="兩層牆面兩種材質" width="619" height="552" srcset="https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面兩種材質-PreonLab.png 619w, https://www.simhex.com/wp-content/uploads/2022/07/兩層牆面兩種材質-PreonLab-300x268.png 300w" sizes="(max-width: 619px) 100vw, 619px" /><figcaption id="caption-attachment-2175" class="wp-caption-text"><span style="font-size: 12px;">圖六: 案例3</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>邊界條件為：</p>
<p><span style="font-size: 16px;">χ<sub>1 </sub>= χ<sub>2</sub> = 0.5m</span></p>
<p><span style="font-size: 16px;">Τ<sub>1 </sub>= 10℃</span></p>
<p>Τ<sub>3 </sub>= 0℃</p>
<p><span style="font-size: 16px;">κ<sub>1 </sub>= 1Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p>方程式(5)與(6)可以用來計算熱通量與溫度，其中溫度分布可以表示為：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2188" src="https://www.simhex.com/wp-content/uploads/2022/07/溫度分布.png" alt="方程式(5)與(6)可以用來計算熱通量與溫度，其中溫度分布可以表示為" width="1395" height="252" srcset="https://www.simhex.com/wp-content/uploads/2022/07/溫度分布.png 1395w, https://www.simhex.com/wp-content/uploads/2022/07/溫度分布-300x54.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/溫度分布-1024x185.png 1024w, https://www.simhex.com/wp-content/uploads/2022/07/溫度分布-768x139.png 768w" sizes="(max-width: 1395px) 100vw, 1395px" /></p>
<p>下表列出不同 熱傳導 系數或粒子大小對應的計算結果：</p>
<p><figure id="attachment_2170" aria-describedby="caption-attachment-2170" style="width: 880px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-full wp-image-2170" src="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數或粒子大小對應的計算結果.png" alt="變量與其對應計算結果" width="880" height="201" srcset="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數或粒子大小對應的計算結果.png 880w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數或粒子大小對應的計算結果-300x69.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數或粒子大小對應的計算結果-768x175.png 768w" sizes="(max-width: 880px) 100vw, 880px" /><figcaption id="caption-attachment-2170" class="wp-caption-text"><span style="font-size: 12px;">  圖七: 變量與其對應計算結果</span></figcaption></figure></p>
<p>&nbsp;</p>
<p><figure id="attachment_2171" aria-describedby="caption-attachment-2171" style="width: 701px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2171 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數時的結果.png" alt=" PreonLab 在不同 結構 下分析不同 熱傳導 系數時的結果" width="701" height="691" srcset="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數時的結果.png 701w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-不同熱傳導系數時的結果-300x296.png 300w" sizes="(max-width: 701px) 100vw, 701px" /><figcaption id="caption-attachment-2171" class="wp-caption-text"><span style="font-size: 12px;">圖八: 左上k2=4，右上k2=10，左下k2=100</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>圖八顯示當為不同 熱傳導 系數時的結果(4, 10, 100)，符合高熱傳導系數導致交接面溫度較低的趨勢。</p>
<p>&nbsp;</p>
<p><span style="background-color: #ebebeb;"><strong>案例4 </strong><strong>單層結構與熱通量邊界</strong></span></p>
<p>將固定溫度邊界改為固定熱通量邊界。</p>
<p><figure id="attachment_2177" aria-describedby="caption-attachment-2177" style="width: 616px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-full wp-image-2177" src="https://www.simhex.com/wp-content/uploads/2022/07/單層結構與熱通量邊界-PreonLab.png" alt="將固定溫度邊界改為固定熱通量邊界" width="616" height="356" srcset="https://www.simhex.com/wp-content/uploads/2022/07/單層結構與熱通量邊界-PreonLab.png 616w, https://www.simhex.com/wp-content/uploads/2022/07/單層結構與熱通量邊界-PreonLab-300x173.png 300w" sizes="(max-width: 616px) 100vw, 616px" /><figcaption id="caption-attachment-2177" class="wp-caption-text"><span style="font-size: 12px;"> 圖九: 案例4</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>依照方程式(3)獲得溫度結果：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2189" src="https://www.simhex.com/wp-content/uploads/2022/07/溫度結果.png" alt="依照方程式(3)獲得溫度結果" width="781" height="205" srcset="https://www.simhex.com/wp-content/uploads/2022/07/溫度結果.png 781w, https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-300x79.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-768x202.png 768w" sizes="(max-width: 781px) 100vw, 781px" /></p>
<p>其中：</p>
<p><span style="font-size: 16px;">κ<sub>1 </sub>= 1Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p><span style="font-size: 16px;">χ<sub>1 </sub>= 1m</span></p>
<p><span style="font-size: 16px;">Τ<sub>2 </sub>= 0℃</span></p>
<p>Q<sub> </sub>= <span style="font-size: 16px;">10W/m<sup>2</sup></span></p>
<p>依上述邊界可獲得解析溫度結果Τ<sub>1 </sub>= 1<span style="font-size: 16px;">0℃</span>。在 <a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">PreonLab </a>中，以顆粒大小20mm計算可得左側溫度結果為9.91(-0.9%)。</p>
<p>溫度分布結果與對比圖請參考圖十。</p>
<p><figure id="attachment_2172" aria-describedby="caption-attachment-2172" style="width: 701px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2172 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-單層結構與熱通量邊界之溫度結果.png" alt=" PreonLab 在單層 結構 與熱通量邊界溫度分布結果與對比圖 熱傳導" width="701" height="701" srcset="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-單層結構與熱通量邊界之溫度結果.png 701w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-單層結構與熱通量邊界之溫度結果-300x300.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-單層結構與熱通量邊界之溫度結果-150x150.png 150w" sizes="(max-width: 701px) 100vw, 701px" /><figcaption id="caption-attachment-2172" class="wp-caption-text"><span style="font-size: 12px;">圖十: 案例4溫度結果</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="background-color: #ebebeb;"><strong>案例5 </strong><strong>雙層結構、不同材質與熱通量邊界</strong></span></p>
<p>將 結構 增加到雙層，並擁有不同的 熱傳導 系數，使用熱通量做為邊界條件進行計算對比。</p>
<p><figure id="attachment_2182" aria-describedby="caption-attachment-2182" style="width: 623px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-full wp-image-2182" src="https://www.simhex.com/wp-content/uploads/2022/07/雙層結構、不同材質與熱通量邊界-PreonLab.png" alt="將結構增加到雙層，並擁有不同的熱傳導系數，使用熱通量做為邊界條件進行計算對比" width="623" height="364" srcset="https://www.simhex.com/wp-content/uploads/2022/07/雙層結構、不同材質與熱通量邊界-PreonLab.png 623w, https://www.simhex.com/wp-content/uploads/2022/07/雙層結構、不同材質與熱通量邊界-PreonLab-300x175.png 300w" sizes="(max-width: 623px) 100vw, 623px" /><figcaption id="caption-attachment-2182" class="wp-caption-text"><span style="font-size: 12px;">圖十一: 案例5</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>依照方程式(5)獲得溫度結果：</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-2190" src="https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-1.png" alt="依照方程式(5)獲得溫度結果" width="945" height="145" srcset="https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-1.png 945w, https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-1-300x46.png 300w, https://www.simhex.com/wp-content/uploads/2022/07/溫度結果-1-768x118.png 768w" sizes="(max-width: 945px) 100vw, 945px" /></p>
<p>其中：</p>
<p><span style="font-size: 16px;">κ<sub>1 </sub>= 1Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p><span style="font-size: 16px;">κ<sub>2 </sub>= 10Wm<sup>-1</sup>κ<sup>-1</sup></span></p>
<p><span style="font-size: 16px;">χ<sub>1 </sub>= χ</span><span style="font-size: 16px;"><sub>2</sub> = 0.5m</span></p>
<p><span style="font-size: 16px;">Τ<sub>3 </sub>= 0℃</span></p>
<p>Q<sub>1 </sub>= <span style="font-size: 16px;">18.2W/m<sup>2</sup></span></p>
<p>結構左側的解析溫度為10<span style="font-size: 16px;">℃</span>，在 <a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">PreonLab </a>中，以顆粒大小20mm計算可得左側溫度結果為9.96(-0.4%)。</p>
<p>溫度分布結果與對比圖請參考圖十二。</p>
<p><figure id="attachment_2174" aria-describedby="caption-attachment-2174" style="width: 680px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="wp-image-2174 size-full" src="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-雙層結構、不同材質與熱通量邊界之溫度結果.png" alt=" PreonLab 計算雙層 結構 、不同材質與熱通量邊界之溫度結果與對比圖 熱傳導 " width="680" height="697" srcset="https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-雙層結構、不同材質與熱通量邊界之溫度結果.png 680w, https://www.simhex.com/wp-content/uploads/2022/07/PreonLab-雙層結構、不同材質與熱通量邊界之溫度結果-293x300.png 293w" sizes="(max-width: 680px) 100vw, 680px" /><figcaption id="caption-attachment-2174" class="wp-caption-text"><span style="font-size: 12px;"> 圖十二: 案例5溫度結果</span></figcaption></figure></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><strong>結論</strong></p>
<p>根據反覆的驗證與測試， <a href="https://www.simhex.com/news/%e6%96%b0%e7%89%88-preonlab-5-1-%e7%99%bc%e5%b8%83-%e6%9b%b4%e8%b2%bc%e8%bf%91%e7%9c%9f%e5%af%a6%e6%87%89%e7%94%a8/">PreonLab </a>針對複合結構牆的求解器可以獲得良好的結果，其中包含共軛熱傳分析，不同顆粒大小的材質也不會影響求解，更能準確的支援溫度邊界與熱通量邊界。</p>
<p>因此我們可以說 PreonLab 計算多種 結構 材質之間的 熱傳導 是有效且精確的 。</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><strong>參考文獻</strong></p>
<p>[1] Lewis, R. W., Nithiarasu, P., and Seetharamu, K. N., Fundamentals of the finite element method for heat and fluid flow. 2004, John Wiley &amp; Sons.</p>
<p><a href="https://www.fifty2.eu/innovation/conduction-through-a-composite-wall/">PreonLab 本文更多說明可參考</a></p>
<p>&nbsp;</p>
<p>想更清楚的了解 <a href="https://www.simhex.com/preonlab-%e7%84%a1%e7%b6%b2%e6%a0%bccfd/">PreonLab</a> 的細節，歡 迎 來 電 (02)2712-8448 或是 <a href="https://www.simhex.com/contact-us/">來 信</a>。</p>
<p>If you want to know more details from <a href="https://www.simhex.com/preonlab-%e7%84%a1%e7%b6%b2%e6%a0%bccfd/">PreonLab</a> ,please contact <a href="https://www.simhex.com/contact-us/">Simhex</a>.</p>
<p>&nbsp;</p>
<p>這篇文章 <a href="https://www.simhex.com/case/information/preonlab%e5%a4%9a%e7%a8%ae%e7%b5%90%e6%a7%8b%e6%9d%90%e8%b3%aa%e9%96%93%e7%86%b1%e5%82%b3%e5%b0%8e/">PreonLab 計算多種 結構 材質之間的 熱傳導</a> 最早出現於 <a href="https://www.simhex.com">星恆科技有限公司</a>。</p>
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