本研究採用直徑2.5 cm之水旋風分離器，並安裝膜管至水旋風分離器中心位置，使用黑色碳化矽粉末作為實驗粉體，並以計算流體力學軟體FLUENT的模擬作為搭配，分別討論不同的進口操作壓力下對水旋風分離器顆粒分級之影響。模擬方面則改變膜管的尺寸，並以VOF多相流模式以及LES紊流模式模擬空氣核心以及內部流場，並使用離散相模式(Discrete Phase Model)針對水旋風分離器中之顆粒運動做預測及追蹤，將模擬與實驗結果進行分析，並討論膜管尺寸對水旋風分離器的影響。
實驗與模擬結果顯示，當進口壓力越大則整體分離效率會越好，而其分級效率在8μm。對於2.5公分的水旋風分離器，膜管變細則過濾效果差，而膜管變粗過濾效果則變好，但分級效率卻會微幅下降;分級效率：膜管徑1公分>1.2公分>0.8公分；膜管濾液流量：膜管徑1.2公分>1公分>0.8公分。

This study uses black silicon carbide powder as experimental particles to realize its classification in a 2.5 cm diameter hydrocyclone that equips membrane tube in center position. In the experiment, the effects of variations in inlet pressure on particle size distribution efficiency were analyzed. In the simulation of the change the size of the membrane tube, the air core and the flow pattern in hydrocyclone was simulated by VOF model and LES model, and using the discrete phase model to track and predict the particle motion. The simulation and experimental results will be analyzed discuss the impact of the membrane tube size on the hydrocyclone.
Experimental and simulation results show that when the inlet pressure larger the overall separation efficiency will be better, and its classification efficiency in 8 μm. For the 2.5 cm diameter hydrocyclone, membrane tube diameter becomes smaller filtering effect poor and diameter becomes larger filtering effect better than original size, but the classification efficiency will drop a little. Classification efficiency：diameter 1 cm>1.2 cm>0.8 cm. Filtering effect：diameter 1.2 cm>1 cm>0.8 cm.

目錄
中文摘要	I
英文摘要	II
目錄	III
圖表目錄	V
第一章 緒論  1
1-1 前言	  1
1-2 研究動機與目的	  2
第二章 文獻回顧	3
2-1 水旋風分離器發展簡介   3
2-1-1水旋風分離器之發展歷史	  3
2-1-2 水旋風分離器之結構	4
2-1-3 水旋風分離器之基本分離原理與規格  6
2-1-4 水旋風分離器的優缺點	8
2-2 水旋風分離器之特殊現象	9
2-2-1 平衡軌道理論	9
2-2-2 空氣柱現象	10
2-2-3 短路流現象	11
2-2-4 循環流	11
2-2-5 魚鉤現象	12
2-3 數值計算在水旋風分離器的應用與模擬方法	13
2-3-1 數值計算的應用發展	13
2-3-2 數值計算方法之無因次群組	20
2-3-3 模擬軟體簡介	23
2-3-4 建立幾何形狀與網格	24
2-3-5 邊界條件設定	28
2-3-6 模擬流場之統御方程式	31
2-4 影響水旋風分離器之參數	35
2-4-1 幾何結構對水旋風分離器的影響	35
2-4-2 物性參數對水旋風分離器的影響	39
2-4-3 操作參數對水旋風分離器的影響	40
2-5 固體顆粒在水旋風分離器流場中移動的受力分析	43
2-5-1 固體顆粒在流場中的拖曳力	43
2-5-2 兩相流動中的受力分析	46
2-5-3 拉格朗日法在顆粒運動中的應用	48
2-5-4 水旋風分離器中的剪切應力	48
2-6 薄膜過濾	50
2-6-1 薄膜分離程序	50
2-6-2 薄膜的型式	51
2-6-3 掃流過濾及膜管上的作用力	54
第三章 實驗裝置與步驟	58
3-1 水旋風分離器之實驗裝置	58
3-2 實驗物料與濾膜設備	60
3-2-1 實驗物料	60
3-2-2 實驗濾膜	61
3-2-3 實驗設備	62
3-3 實驗步驟	63
第四章 結果與討論	64
4-1 實驗結果	64
4-1-1 進口壓力對無因次群的關係	64
4-1-2 分級效率	68
4-2 模擬結果	69
4-2-1 空氣體積分率之膜管直徑1公分	69
4-2-2 空氣體積分率之膜管直徑0.8公分及1.2公分	79
4-2-3 速度向量分佈	84
4-3 離散相粒置移動軌跡	87
4-4 實驗與模擬分級效率及濾液比較	92
4-1-1 模擬和實驗比較	92
4-1-2 模擬膜管徑1公分、0.8公分及1.2公分比較	94

第五 結論	96
符號說明	98
參考文獻	102

圖表目錄

圖目錄
第二章
圖2-1 水旋風分離器裝置的結構與內部流動示意圖	5
圖2-2 長錐與短錐水旋風分離器示意圖	7
圖2-3 各截面軸速度分布和零速包絡面(LZVV)	9
圖2-4 水旋風分離器的魚鉤現象	12
圖2-5 模擬用的水旋風分離器網格-膜管R=1公分	25
圖2-6 模擬用的水旋風分離器網格-膜管R=0.8公分	26
圖2-7 模擬用的水旋風分離器網格-膜管R=1.2公分	27
圖2-8 水旋風分離器的基本結構圖	36
圖2-9 三種渦流半徑與切線速度的示意圖	49
圖2-10 薄膜孔洞大小與適用範圍之分離程序圖	50
圖2-11 膜管上的受力變化情形	57

第三章
圖3-1 水旋風分離器實驗裝置圖	58
圖3-2 陶瓷薄膜管取代空氣核心之水旋風分離器示意圖	59
圖3-3 碳化矽的粒徑分布	60

第四章
圖 4-1 水旋風分離器不同進口壓力下溢流、底流、進口的流量圖	64
圖 4-2 進口壓力對進口速度和特性速度關係圖	65
圖 4-3 水旋風分離器進口壓力對雷諾數關係圖	66
圖 4-4 水旋風分離器進口壓力對尤拉數關係圖	67
圖 4-5 水旋風分離器分級效率	68
圖 4-6 水旋風分離器(膜管R=1 cm)進口速度9.06 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	70
圖 4-7 水旋風分離器(膜管R=1 cm)進口速度12.75 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	71
圖 4-8 水旋風分離器(膜管R=1 cm)進口速度15.67 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	72
圖 4-9 水旋風分離器(膜管R=1 cm)進口速度18.21 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	73
圖 4-10 水旋風分離器(膜管R=1 cm)進口速度9.06 m/s之0.1-1.5 s的x=0.005 m切面空氣體積分率	75
圖 4-11 水旋風分離器(膜管R=1 cm)進口速度12.75 m/s之0.1-1.5 s的x=0.005 m切面空氣體積分率	76
圖 4-12 水旋風分離器(膜管R=1 cm)進口速度15.67 m/s之0.1-1.5 s的x=0.005 m切面空氣體積分率	77
圖 4-13 水旋風分離器(膜管R=1 cm)進口速度18.21 m/s之0.1-1.5 s的x=0.005 m切面空氣體積分率	78
圖 4-14 水旋風分離器(膜管R=0.8 cm)進口速度9.06 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	80
圖 4-15 水旋風分離器(膜管R=0.8 cm)進口速度9.06 m/s之0.1-1.5 s的x=0.004 m切面空氣體積分率	81
圖 4-16 水旋風分離器(膜管R=1.2 cm)進口速度9.06 m/s之0.1-1.5 s的x=0 m切面空氣體積分率	82
圖 4-16圖 4-17 水旋風分離器(膜管R=1.2 cm)進口速度9.06 m/s之0.1-1.5 s的x=0.006 m切面空氣體積分率	83
圖 4-18 水旋風分離器(膜管R=1 cm)之1.5 s的x=0切面速度向量分佈-(a) 1 bar (b)2 bar (c)3 bar (d)4 bar	85
圖 4-19 進口速度9.06 m/s之1.5 s的x=0切面速度向量分佈(a)膜管R=1 cm (b)膜管R=0.8 cm (c)膜管R=1.2 cm	86
圖 4-20 粒子移動軌跡起點示意圖位置1~21(a)置中(b)垂直(c)水平	88
圖 4-21 粒子移動軌跡-置中	89
圖 4-22 粒子移動軌跡-垂直	90
圖 4-23 粒子移動軌跡-水平	91
圖 4-24 實驗和模擬分級效率	92
圖 4-25 不同膜管徑之分級效率	93
表目錄
表2-1 四種主要膜組件之特性比較	53
表3-1 複合陶瓷膜管之性質	61
表4-1 粒子往底流機率	87
表4-2 實驗和模擬分流比和膜管流量	93
表4-3 不同膜管徑之分流比和膜管流量	95

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