以離散元素法及計算流體力學雙向耦合模擬顆粒體在液體儲槽內的卸載流動行為

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姓名

蕭佑衡(Yu-Heng Hsiao) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

以離散元素法及計算流體力學雙向耦合模擬顆粒體在液體儲槽內的卸載流動行為

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至系統瀏覽論文 (2029-10-31以後開放)

摘要(中)

本研究採用未解析法的計算流體力學與離散元素法雙向流耦(Unresolved CFD-DEM)模擬顆粒體在液體儲槽中卸載的流動行為，探討在不同流體阻力模型、液體黏滯係數與儲槽置入物對顆粒體流動行為的影響，進一步分析顆粒體在液體儲槽中的速度分布、粒子溫度、擾動速度分布與容器中底部壓力分佈。研究結果顯示：(1) 三種阻力模型Di Felice、Gidaspow, Bezburuah & Ding與Wen & Yu model的結果差異性甚微；(2)顆粒體在液體中卸載速度隨液體黏滯性越高而越小，且顆粒流速越大造成的粒子溫度也越大；(3)容器底部壓力僅在高黏滯性液體與較大儲槽開口發生壓降現象；(4)顆粒體卸載速度隨置入物安裝位置越高而越快，擾度速度分布隨置入物安裝位置越低而越集中；(5)儲槽置入物高度，對顆粒體卸載的流動行為影響甚微；(6)顆粒體卸載速度隨置入物寬度越寬而越小；(7)顆粒體卸載過程末端質量流率上升主要由顆粒間碰撞接觸力增加所引起，末端質量流率上升越顯著顆粒粒子溫度越大。

摘要(英)

This study employs an unresolved Computational Fluid Dynamics-Discrete Element Method (CFD-DEM) approach to simulate the discharge behavior of granular materials in storage silos submerged in liquid. It investigates the effects of various drag models, liquid viscosity, and silo inserts on granular silo flows. Furthermore, the explored physical properties include the velocity distribution of the granular material, granular temperature, fluctuating velocity distribution, and pressure distribution at the bottom of the container. The major findings are summarized below: (1) The differences among the three drag models—Di Felice, Gidaspow, Bezburuah & Ding, and Wen & Yu—are minimal in the scenario studied here; (2) The discharge velocity of the granular materials in the liquid decreases as liquid viscosity increases, and higher granular flow velocity results in higher granular temperatures; (3) Pressure deep at the bottom of the container occurs only in high-viscosity liquids and with larger silo openings; (4) The discharge velocity of the granular materials increases with higher insert positions, while the fluctuating velocity distribution becomes more concentrated with lower insert positions; (5) The height of the silo insert has a minimal impact on the discharge flow behavior of the granular materials; (6) The discharge velocity of the granular materials decreases as the width of the insert increases; (7) The increase in mass flow rate near the end of the discharge process is primarily due to the increased contact force between colliding particles, and the greater the increase in mass flow rate, the higher the granular temperature.

關鍵字(中)

★ 雙向流耦合未解析法離散元素法與計算流體力學
★ 液體中儲槽顆粒體卸載行為
★ 阻力模型
★ 液體黏滯性
★ 置入物
★ 粒子溫度

關鍵字(英)

★ Unresolved CFD-DEM
★ granular silo flows in liquid
★ drag models
★ liquid viscosity
★ inserts
★ granular temperature

論文目次

摘要 i
Abstract ii
目錄 iii
附表目錄 vii
附圖目錄 viii
第一章緒論 1
1-1 研究背景 1
1-2 文獻回顧 2
1-2-1 Unresolved CFD-DEM相關文獻 2
1-2-2 CFD-DEM drag force model相關文獻 3
1-2-3雙向流相關文獻 4
1-3 研究目的與動機 6
第二章雙向流物理系統與研究方法 7
2-1 雙向流物理模型 7
2-1-1流體的控制方程式 7
2-1-1-1 Navier-stokes方程式 7
2-1-1-2 SST k-omega模型 8
2-1-2顆粒體的控制方程式 9
2-1-2-1三維剛體運動方程式 9
2-1-2-2接觸力模型 9
2-1-3流體與顆粒體相互作用力 11
2-1-3-1浮力模型 12
2-1-3-1阻力模型 12
2-2 顆粒流內部性質 14
2-2-1粒子質量流率 14
2-2-2粒子局部平均速度 15
2-2-3粒子溫度 15
2-2-4粒子擾動速度 16
2-3 CFD-DEM電腦模擬 17
2-3-1流程框架 17
2-3-2臨界時間步 17
2-4 CFD-DEM建模設置 18
2-4-1顆粒與流體性質 20
第三章結果與討論 21
3-1 阻力模型對顆粒體在液體儲槽傳輸性質的影響 21
3-1-1質量流率 21
3-1-2儲槽顆粒流流速分佈 22
3-1-2-1水平速度分佈 22
3-1-2-2垂直速度分佈 24
3-1-2-3旋轉速度分佈 25
3-1-3儲槽顆粒流粒子溫度分佈 26
3-1-4儲槽顆粒流擾動速度分佈 28
3-1-5容器底部壓力分佈 29
3-2 液體黏滯性對顆粒體在液體儲槽傳輸性質的影響 29
3-2-1質量流率 30
3-2-2儲槽顆粒流流速分佈 31
3-2-2-1水平速度分佈 31
3-2-2-2垂直速度分佈 32
3-2-2-3旋轉速度分佈 34
3-2-3儲槽顆粒流粒子溫度分佈 35
3-2-4儲槽顆粒流擾動速度分佈 36
3-2-5容器底部壓力分佈 37
3-3 儲槽置入物對顆粒體在液體儲槽傳輸性質的影響 38
3-3-1質量流率 38
3-3-2儲槽顆粒流流速分佈 39
3-3-2-1不同置入物安裝位置(y) 39
3-3-2-1-1水平速度分佈 39
3-3-2-1-2垂直速度分佈 40
3-3-2-2不同置入物高度(h) 41
3-3-2-1-1水平速度分佈 41
3-3-2-1-2垂直速度分佈 42
3-3-2-3不同置入物寬度(w) 43
3-3-2-1-1水平速度分佈 43
3-3-2-1-2垂直速度分佈 44
3-3-3儲槽顆粒流粒子溫度分佈 45
3-3-3-1不同置入物安裝位置(y) 45
3-3-3-2不同置入物高度(h) 46
3-3-3-3不同置入物寬度(w) 47
3-3-4儲槽顆粒流擾動速度分佈 48
3-3-4-1不同置入物安裝位置(y) 48
3-3-4-2不同置入物高度(h) 49
3-3-4-3不同置入物寬度(w) 50
3-4 顆粒體卸載過程末端質量流率上升的原因 51
3-5 質量流率擬合公式 53
第四章結論 55
參考文獻 58
附表 61
附圖 63

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指導教授

鍾雲吉(Yun-Chic Chung)

審核日期

2024-10-4

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