轉注成型充填過程巨微觀流交界面之數值模擬

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張袁瑞(Yuan-Jui Chang ) 查詢紙本館藏

畢業系所

機械工程研究所

論文名稱

轉注成型充填過程巨微觀流交界面之數值模擬
(Numerical Simulation of Resin Transfer Molding in Interface within Fiber Tows)

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摘要(中)

本文主要模擬定流率充填下，當樹脂流經纖維束時，由於滲透度的差異所造成的壓力梯度及流動面速度不同造成擾動厚度，並探討充填階段毛細位移對流動面之影響及入口壓力之變化。流體流經纖維束的過程可視為流經多孔性介質，本文以布林克曼方程式來描述流場巨觀流及微觀流交界面之流動情形，以簡單正交法產生隔點，並配合有限體積法及蒙地卡羅法來預測流動面下一個可能位移粒子及其位移方向。其模擬結果可顯示出纖維束滲透度比值不同與充填流量不同對充填過程中流動面變化有絕對性的影響，而入射壓力相對於不同物理參數亦呈現出不同的變化。

摘要(英)

In this study, the simulation was confined under a constant flow rate that past a prepared fiber mats. Due to the difference of pressure gradient and the velocity past a cylinder-like fiber bundle result in transition thickness.
Based on the rheological phenomena of flow in porous media. Brinkman equation is applied throughout the macro- and micro- description of the flow field. A simulation that utilize Monte Carlo decision-making process on the random walk in a simple orthogonalize network model is well conducted. Results show that the permeability difference between fiber mats and fiber bundle are the major mechanism of void formation. The inlet pressure with different filling flow rate was also investigated.

關鍵字(中)

★ 多孔性介質
★ 布林克曼方程式
★ 擾動厚度
★ 有限擴散聚集
★ 滲透度
★ 蒙地卡羅法

關鍵字(英)

★ diffusion limited aggregation
★ transition thickness

論文目次

目錄
摘要…………………………………………………………………1
英文摘要……………………………………………………………2
目錄…………………………………………………………………3
表目錄………………………………………………………………5
圖目錄………………………………………………………………6
符號說明……………………………………………………………8
第一章、緒論………………………………………………………10
1-1 前言…………………………………………………10
1-2 文獻回顧……………………………………………11
1-3 研究方向……………………………………………18
第二章、理論模式…………………………………………………19
2-1達西定律……………………………………………19
2-2布林克曼方程式……………………………………20
2-3滲透度………………………………………………21
2-4空孔度………………………………………………22
2-5有限擴散聚集………………………………………22
2-6微觀結構之物理模式………………………………22
2-7微觀結構之位移模式………………………………23
2-8流動粒子流動強度計算方式………………………25
2-9等效滲透深度………………………………………26
2-10無因次參數…………………………………………26
第三章、數值方法…………………………………………………29
3-1蒙地卡羅法 …………………………………………29
3-2網絡模型 ……………………………………………30
3-3機率取決方式 ………………………………………30
3-4程式計算流程………………………………………31
第四章、結果與討論………………………………………………33
4-1格點獨立性 …………………………………………33
4-2單一均勻滲透度之流場特性分析 …………………33
4-3不同滲透度之流場特性分析 ………………………34
第五章、結論………………………………………………………38
第六章、參考文獻…………………………………………………40
表……………………………………………………………………46
圖……………………………………………………………………47
表目錄
表號名稱頁碼
表（一）纖維蓆空孔度與滲透度對照表…………………46
圖目錄
圖號圖名頁碼
圖1.LENORMAND 之三相圖…………………………………47
圖2.纖維基材配置圖………………………………………48
圖3.樹脂為牛頓流體假設之合理性………………………49
圖4.邊界條件示意圖………………………………………50
圖5.有限擴散聚集（ＤＬＡ）示意圖……………………51
圖6.毛細管狀態示意圖……………………………………52
圖7.流體接觸角界定準則示意圖…………………………53
圖8.多孔通道鏈結機構……………………………………54
圖9.網絡格子(lattice)與連絡通道示意圖………………55
圖10.整體流動強度示意圖…………………………………56
圖11.程式流程圖……………………………………………57
圖12.格點獨立性之格點數與相對流動面位置關係圖……58
圖13.單一均勻滲透度基材中，流動面隨時間變化圖……59
圖14.單一均勻滲透度之(a)壓力場 (b)速度場…………60
圖15.流量 5ml/s，k1/k2=4之速度分佈圖…………………61
圖16.流量 5ml/s，k1/k2=4 之壓力分佈圖………………62
圖17.885w/95之流體，流率為5 ml/s，k1/k2=27.5之流場
壓力分佈圖……………………………………………63
圖18.流量 5ml/s，k1/k2=4，time step為0.04秒流動面
分佈圖…………………………………………………64
圖19-1.k1/k2=4，不同流量下入口壓力隨時間變化圖………65
圖19-2.k1/k2=4，時間為0.18sec，不同流量下纖維束前壓力
隨高度變化圖…………………………………………66
圖20.k1/k2=4，不同流量下流動面分佈圖…………………67
圖21.流量 5ml/s ，不同滲透度比值下流動面分佈圖……68
圖22.流量 5ml/s，k1/k2=18 流動面分佈圖………………69
圖23-1.相同流量下不同滲透比值的入射壓力圖……………70
圖23-2.時間為0.18sec，相同流量下，不同滲透比值之纖維
束前壓力隨高度變化圖………………………………71
圖24.流量 5ml/s，k1/k2=4 擾動厚度區域圖……………72
圖25.擾動厚度和滲透度比值的關係………………………73
圖26.流量 5ml/s，k1/k2=8有無毛細壓力效應之比較圖…74
圖27.流量5ml/s，k1/k2=8有無毛細壓力效應之壓力比較圖75
圖28.毛細數隨時間變化圖…………………………………76
圖29.邊界流動面隨時間變化圖，文獻[51]………………77
圖30.無方向纖維蓆之孔隙分佈機率………………………78

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指導教授

洪勵吾(Lih-Wu Hourng)

審核日期

2001-7-17

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