本研究採用直徑45 mm之水旋風分離器，使用馬鈴薯澱粉為粉體，分別進行實驗和模擬的分析，實驗方面討論不同進口壓力與溢流管管徑之影響，分析溢流和與底流之粒徑分佈以及分離效率，模擬方面以多相流VOF模式與紊流LES模式模擬空氣核心並分析流場流態，並以質點影像速度儀(PIV)量測技術所得之結果與模擬相互對照，使用實驗數據與數值模擬為基礎，進而發展新樣式之薄膜水旋風分離器。

實驗結果顯示，在各種不同進口壓力下，以薄膜水旋風分離器之分離效果最好。在不同溢流管徑之實驗結果顯示，管徑越大，所產生之空氣柱核心越大，同時分級效率也會變化，在模擬與PIV實驗中，空氣柱之直徑與渦流場流向，雖具有25%之誤差值，但仍有一定水準的相似度，具有一定前瞻性。

This study uses potato starch as particles to realize its classification in a 45 mm diameter hydrocyclone. In the experiment, the effects of variations in feed pressure and overflow diameter on particle size distribution and separation efficiency were analyzed. In the simulation, the air core was simulated successfully by VOF model and LES model. Based on experimental and simulation results, a new kind of hydrocyclone, membrane hydrocyclone was developed.
According to experiment results, The experiment results show that the  membrane hydrocyclone has the best separation efficiency in different inlet pressure.  For the experiment of different overflow diameter, an increase in diameter result in increase in Air Core, and the efficiency of separation will be changed in the same time. In the simulation and the PIV experiment, even though there has a 25% deviation in Air Core and turbulent flow filed; the results still have accuracy of similarity, this research is still a prospective study.

目錄
頁次
中文摘要	Ⅰ
英文摘要	Ⅱ
目錄	Ⅲ
圖表目錄	Ⅶ

第一章 緒論	1
1-1前言	1
1-2 研究動機與目的	3
第二章 文獻回顧	4
2-1水旋風分離器之概述	4
2-1-1水旋風分離器歷史	4
2-1-2 水旋風分離器之簡介與結構	5
2-1-3 水旋風分離器之規格	7
2-1-4 水旋風分離器之特色	8
2-2 水旋風分離器之特殊現象	9
2-2-1魚勾現象	9
2-2-2空氣核心	10
2-2-3 短路流現象	11
2-2-4 循環流	11
2-3水旋風分離器裝置的進展	12
2-4數值計算在水旋風分離器的應用	14
 第三章 理論模式與數值方法	19
3-1水旋風分離器之基本理論	19
3-1-1 平衡軌道理論	20
3-1-2無因次群	21
3-2水旋風分離器之參數分析	24
3-2-1 幾何結構	24
3-2-2 物性參數	27
3-2-3 操作參數	28
3-3固體粒子在水旋風分離器中受力分析	32
3-3-1粒子所受之拖曳力	32
3-3-2 兩相流動中粒子的受力分析	34
3-3-3剪應力	37
3-3-4水旋風分離器之離心沉降與一般重力沉降之比較	39
3-4數值模擬計算	41
3-4-1模擬軟體介紹與基本假設	41
3-4-2統御方程式	42
3-4-3流動模型	42
3-4-4邊界、操作條件	46
3-4-5離散化方法	47
3-4-6疊代運算控制參數	48
3-4-7收斂準則	48
3-4-8 網格結構建立	49
第四章 實驗裝置	53
4-1 實驗物料	53
4-2實驗儀器	54
4-3實驗裝置	56
4-4 實驗步驟	64
4-5薄膜資料	68
第五章結果與討論	69
5-1實驗結果	69
5-1-1壓降效應	73
5-1-2溢流管內徑變化之影響	84
5-1-3不同材質之溢流管	88
5-2模擬結果	90
5-2-1不同溢流管內徑的模擬結果	94
5-2-2不同溢流管結構變化模擬結果	95
5-3 PIV與CFD比較	96
5-3-1流場型態比較	96
5-3-2空氣柱形狀與寬度比較	100
5-3-3 VZ方向比較	107
第六章 結論	114
符號說明	116
參考文獻	119
附錄	123

 
圖表目錄
圖目錄
第二章
Fig. 2- 1 Structure of hydrocyclone(Hsu and Wu, 2008)	6
Fig. 2- 2 Base case for the structure of hydrocyclone (a)long cone；(b)short cone	7
Fig. 2- 3 Fish hook of hydrocyclone	9
第三章
Fig. 3- 1 Axial-velocity profile and Locus of Zero Vertical Velocity	21
Fig. 3- 2 Structure of basis on hydrocyclone	26
Fig. 3- 3 Forced diagram of free setting…………………………………..…….36
Fig. 3- 4 Velocity profile of tree vortex type.(Puprasert et al,2004)	38
Fig. 3- 5 Mesh of hydrocyclone	50
Fig. 3- 6 Define of the flow zone on Gambit	51
第四章
Fig. 4- 1 Size distributions of Potato starch	54
Fig. 4- 2 Lift of pump	55
Fig. 4- 3 Case 1  thin overflow.	57
Fig. 4- 4 Case 2　thick overflow.	58
Fig. 4- 5 Case 3　all membrane overflow.	59
Fig. 4- 6 Case 4　extend plastic overflow.	60
Fig. 4- 7 Case 5　extend membrane overflow.	61
Fig. 4- 8 All equipment of experiment.	63
Fig. 4- 9 Equipment of PIV-1	66
Fig. 4- 10 Equipment of PIV-2	67
第五章
Fig. 5- 1 Flow rate of inlet、underflow、overflow in different pressure.	69
Fig. 5- 2 Characteristic velocity& inlet velocity varies with pressure.	70
Fig. 5- 3 Relationship between Reynold number and pressure drop.	71
Fig. 5- 4 Relationship between Eular number and inlet pressure	72
Fig. 5- 5 Size distribution of under & over flow for case 1	74
Fig. 5- 6 Partial separation efficiency in case 1 of different pressure drop	75
Fig. 5- 7 Size distribution of under & over flow for case 2	76
Fig. 5- 8 Partial separation efficiency in case 2 of different pressure drop	77
Fig. 5- 9 Size distribution of under & over flow for case 3	78
Fig. 5- 10 Partial separation efficiency in case 3 of different pressure drop	79
Fig. 5-11 Size distribution of under & over flow for case 4	80
Fig. 5-12 Partial separation efficiency in case 4 of different pressure drop	81
Fig. 5-13 Size distribution of under & over flow for case 5	82
Fig. 5-14 Partial separation efficiency in case 5 of different pressure drop	83
Fig. 5-15 Partial separation efficiency in case 1&case 2.	84
Fig. 5-16 Eular number of inlet pressure in case 1&case 2.	85
Fig. 5-17 Partial separation efficiency in case 1&case 2.	85
Fig. 5-18 Partial separation efficiency in case 1&case 2.	86
Fig. 5- 19 Partial separation efficiency in case 1＆2	87
Fig. 5- 20 Partial separation efficiency in case 4＆5	88
Fig. 5- 21 Relationship between Eular number and pressure in case 4＆5	89
Fig. 5-22 Volume distribution of air in 0.1~1.5s(case 2,P=0.3 bar)	91
Fig. 5- 23 Distribution (a)pressure (b) volume fraction of air (c) tangential velocity (d) axial velocity	93
Fig. 5- 24 Distribution (a)、(b)axial velocity for case 2、case 1.(c)、(d)volume fraction of air for case 2、case 1.(e)、(f)pressure for case 2、case 1	94
Fig. 5- 25 Distribution (a)、(b)axial velocity for case 4、case 5.(c)、(d)volume fraction of air for case 4、case 5.(e)、(f)pressure for case 4、case 5	95
Fig. 5- 26 y-z velocity of x=0 plane	96
Fig. 5- 27 Velocity Vectors of y&z-direction on CFD	97
Fig. 5- 28 Velocity Vectors of y&z- direction on PIV…………………………..	97
Fig. 5- 29 Compare CFD& PIV Velocity Vectors of y&z- direction at cylinder zone	98
Fig. 5- 30 Compare CFD& PIV Velocity Vectors of y&z- direction at cone zone	99
Fig. 5- 31 CFD Volume fraction of air	100
Fig. 5- 32 CFD Volume fraction of air on cylinder zone	101
Fig. 5- 33 PIV visual on cylinder zone	101
Fig. 5- 34 Compare CFD&PIV on cylinder zone	102
Fig. 5- 35 Measured diameter at random position on CFD&PIV cylinder zone	103
Fig. 5- 36 CFD Volume fraction of air on cone zone	104
Fig. 5- 37 PIV visual on cone zone	104
Fig. 5- 38 Measured diameter at random position on CFD&PIV cone zone	105
Fig. 5- 39 The position of line for CFD & PIV	107
Fig. 5- 40 Velocity z- direction of PIV & CFD for Z=0.03	107
Fig. 5- 41 Velocity z- direction of PIV & CFD for Z=0.04	108
Fig. 5- 42 Velocity z- direction of PIV & CFD for Z=0.05	109
Fig. 5- 43 Velocity z- direction of PIV & CFD for Z=0.06	109
Fig. 5- 44 Velocity z- direction of PIV & CFD for Z=0.07	110
Fig. 5- 45 Velocity z-direction of PIV & CFD for Z=0.08	111
Fig. 5- 46 Velocity z-direction of PIV & CFD for Z=0.09	112
Fig. 5- 47 Velocity z-direction of PIV & CFD for Z=0.10	112
附錄
Fig. A-1 Case 4 &case 5 relation between pressure and flow spilt……………123

Fig. A-2 All case relation between pressure and flow spilt…………………....124

Fig. A-3 All case relation between flow rate and overflow rate……………….125
 
表目錄
第三章
Table3- 1 Boundary condition of Fluent	47
Table3- 2 Discretization method of Fluent	48
Table3- 3 Under-relaxation Factors of Fluent	48
Table3- 4 Convergence criterion of Fluent	49
Table3- 5 Boundary and physical mean of overflow	52
第四章
Table4- 1 Property of starch	53
Table4- 2 The date of PIV equipment	55
第五章
Table5- 1 Experiment data of pressure in inlet、overflow、underflow.	70
Table5- 2 The PIV&CFD result of measured and deviation on cylinder	103
Table5- 3 The PIV&CFD result of measured and deviation on cone	106

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