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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 王建凱 | zh_TW |
| dc.contributor.advisor | Chien-Kai Wang | en |
| dc.contributor.author | 周峮毅 | zh_TW |
| dc.contributor.author | Qun-Yi Zhou | en |
| dc.date.accessioned | 2024-09-25T16:31:28Z | - |
| dc.date.available | 2024-09-26 | - |
| dc.date.copyright | 2024-09-25 | - |
| dc.date.issued | 2024 | - |
| dc.date.submitted | 2024-09-11 | - |
| dc.identifier.citation | [1] Adams, J. D., Kim, U., & Soh, H. T. (2008). Multitarget magnetic activated cell sorter. Proceedings of the National Academy of Sciences, 105(47), 18165-18170.
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/95995 | - |
| dc.description.abstract | 在微流體工程應用中，系統元件常用於細胞培養與分選實驗，其流道設計通常具有不規則、彎曲、截面積變化等複雜幾何形狀，並根據實驗目的而有所不同，本論文研究旨在針對具複雜幾何微流體元件之固液耦合問題，開發數值計算與模擬分析技術，從而建立微流體元件實驗的數位孿生。
研究架構上，以計算流體力學 (Computational Fluid Dynamics) 為流場求解核心，並使用水平集函數準確描述元件計算場域內的複雜流場邊界，且以直接強制法 (Direct-Forcing Method) 施加流場限制條件；微流體中固體材料設定為完全沉浸於流場之彈性纖維模型，通過沉浸邊界法 (Immersed Boundary Method) 中的連體力學理論，建立拉格朗日–歐拉混合 (Lagrangian-Eulerian) 的固液耦合機制，並由於直接強制法與沉浸邊界法的流場資訊皆能於交錯網格 (Staggered Grid) 中，透過有限差分法 (Finite Difference Method) 離散，因此具有完美的相容性。 本論文研究方法為基於非貼體網格 (Non-Body Fitted Mesh) 的固液耦合數值計算架構，除能考慮具複雜幾何形狀之流場邊界，特點在於流體與固體網格相互獨立生成並共存於計算場域內，得以各自直接建模，且流場網格於求解過程中，不必隨固體產生巨量變形而重新構建 (Re-Mesh)，因而在計算效率上具有一定優勢。期能以本論文之理論與計算力學研究成果，為微流體系統工程研究提供一精準的預測技術與設計工具。 | zh_TW |
| dc.description.abstract | In the applications of microfluidic engineering, system components are often utilized in cell culture and sorting experiments. These components typically feature complex geometries, including irregularities, curvatures, and variations in cross-sectional areas, which vary based on the experimental objectives. This thesis aims to develop numerical computation and simulation analysis techniques for liquid-solid coupling issues in microfluidic devices with complex geometries, thereby establishing a digital twin for microfluidic device experiments.
The research framework centers on computational fluid dynamics (CFD) for solving the flow field. It employs the level set function to accurately describe the complex flow field boundaries within the computational domain and applies the direct-forcing method to impose flow field constraints. The solid materials in the microfluidics are modeled as elastic fibers fully immersed in the flow field. The coupling mechanism between the fluid and the solid is established through the Lagrangian-Eulerian framework of the immersed boundary method, which is based on continuum mechanics theory. Given that both the direct-forcing method and the immersed boundary method's flow field information can be discretized using the finite difference method on a staggered grid, they exhibit perfect compatibility. This thesis adopts a liquid-solid coupling numerical computation framework based on non-body fitted mesh. It not only considers the complex geometries of the flow field boundaries but also features independent generation and coexistence of fluid and solid meshes within the computational domain, allowing for direct modeling of each. During the solving process, the fluid mesh does not need to be reconstructed (re-meshed) despite significant deformations of the solid, thus offering a computational efficiency advantage. It is hoped that the theoretical and computational mechanics research results of this thesis will provide precise predictive techniques and design tools for microfluidic system engineering research. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-09-25T16:31:28Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2024-09-25T16:31:28Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 致謝 i
摘要 iii Abstract v 目次 vii 圖次 x 表次 xiii 第一章 緒論 1 1.1 研究動機 1 1.2 研究背景 2 1.3 文獻回顧 5 1.3.1 微流體元件製造 5 1.3.2 流固耦合數值方法 5 1.3.3 微流道細胞分選 6 1.4 研究架構 6 第二章 流場之數值計算技術 8 2.1 控制方程式 10 2.1.1 動量方程式 10 2.1.2 連續方程式 11 2.1.3 座標描述 11 2.2 數值求解流程 12 2.3 空間離散 16 2.3.1 有限差分法 16 2.3.2 交錯網格 17 2.3.3 差分方案 21 2.3.4 虛擬網格 23 2.4 邊界條件 24 2.4.1 狄利克雷邊界條件 26 2.4.2 諾伊曼邊界條件 28 2.5 流場可視化 29 2.6 MATLAB程式架構 30 2.6.1 建構系統矩陣 31 2.6.2 流場計算驗證 35 2.6.3 計算例演示 39 第三章 流固交界面與耦合原理 42 3.1 場域定義與座標描述 42 3.2 計算求解策略 43 3.3 無因次化分析 44 3.4 直接強制法 45 3.4.1 定義與求解流程 46 3.4.2 網格體積比例計算 48 3.4.3 誤差與收斂性分析 55 3.4.4 計算例演示 58 3.5 沉浸邊界法 65 3.5.1 流固耦合力學解析 65 3.5.2 流固資訊傳遞機制 67 3.5.3 時間步進機制 70 3.5.4 流固耦合計算驗證 71 3.5.5 計算例演示 73 第四章 複雜幾何微流體元件固液耦合應用 76 4.1 流固模型與參數設定 76 4.2 細胞輸送與橫向遷移 81 4.2.1 等角度漸擴流道流場分析 82 4.2.2 比較不同纖維初始位置 85 4.3 十字交錯細胞分選 90 4.3.1 十字交錯流道流場分析 90 4.3.2 比較不同纖維初始位置 93 4.4 癌細胞與腫瘤細胞分選 96 4.4.1 曲線漸擴流道流場分析 96 4.4.2 比較不同纖維直徑 99 4.5 細胞與微粒變形量測 102 4.5.1 曲線漸縮流道流場分析 102 4.5.2 比較不同纖維彈簧常數 106 4.5.3 比較不同纖維直徑 110 第五章 結論與未來展望 113 5.1 結論 113 5.2 未來展望 114 參考文獻 115 | - |
| dc.language.iso | zh_TW | - |
| dc.title | 應用沉浸邊界法於具複雜幾何微流體元件之固液耦合計算力學研究 | zh_TW |
| dc.title | Study on Liquid-Solid Coupling Computational Mechanics of Microfluidic Devices with Complex Geometric Using the Immersed Boundary Method | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 113-1 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 董奕鍾;陳壁彰;劉建豪;蔡協澄 | zh_TW |
| dc.contributor.oralexamcommittee | Yi-Chung Tung;Bi-Chang Chen;Chien-Hao Liu;Hsieh-Chen Tsai | en |
| dc.subject.keyword | 微流體元件,固體力學,流體力學,流固耦合,沉浸邊界法, | zh_TW |
| dc.subject.keyword | Microfluidic devices,Solid mechanics,Fluid dynamics,Fluid-structure interaction,Immersed boundary method, | en |
| dc.relation.page | 121 | - |
| dc.identifier.doi | 10.6342/NTU202404352 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2024-09-12 | - |
| dc.contributor.author-college | 工學院 | - |
| dc.contributor.author-dept | 機械工程學系 | - |
| Appears in Collections: | 機械工程學系 | |
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| ntu-113-1.pdf | 10.6 MB | Adobe PDF | View/Open |
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