離散元素法模擬於重力驅動顆粒流場之研究

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楊言誌(Yan-Zhi Yang) 查詢紙本館藏

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機械工程學系

論文名稱

離散元素法模擬於重力驅動顆粒流場之研究

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摘要(中)

顆粒崩塌流場普遍存在於工業界、自然界或是日常生活中。工業界中包括如儲槽 (hopper) 及旋轉鼓 (rotating drum) 等，而自然界中如雪崩、山崩或土石流等災害也可列為顆粒流的一環。故此類顆粒崩塌流場的相關學術研究於近年來備受重視，也越來越多學者發表相關研究成果。本論文主要以線性軟球模式的離散元素法 (Discrete element method, DEM) 來模擬在傾斜矩形流槽中，由重力所驅動之顆粒崩塌流場的運動行為。本論文將採用Particle Flow Code in 3D 模擬軟體，並利用不同控制參數去探討各阻礙物對顆粒崩塌流場的運動行為及相關物理機制之影響。本論文中，為讓流場產生劇烈變化，將在流槽中設置不同半徑的半圓柱形阻礙物，使流場中產生震波，探討不同阻礙物大小對於整體流場的影響，包括流場高度、流場速度、顆粒體積佔有率、旋轉角速度、配位數(coordination number)、顆粒接觸力、慣性數(inertial number)、組構及組構張量(fabric tensor)八個分析指標在流動方向的變化及相關物理機制。

摘要(英)

Granular avalanches flows are widely found in nature and industrial applications. In industrial applications, they can be found as hoppers and rotation drums and, in the nature, they are in the form of avalanches, landslides, mudflows. Granular flows have received significant attention by researchers and scholars. This study is performed based on a linear soft-sphere model discrete element method (DEM) has been used to simulated performance of granular flow driven by the gravity in an inclined rectangular chute. DEM calculations were done by using commercial simulation software called PFC3D. An inclined rectangular chute was set up by using different control parameter in order to analysis and evaluates the overall flow performance. Additionally, in order to simulate changes in the flow fields were establishment in a different semi-circular cylinder obstacle radius of the chute to generate shock waves. It allowed exploring and analyzing the flow field in different size of obstructions that were affecting the overall field which included flow height, flow velocity, solid fraction, angular velocity, coordination number, contact force, fabric and fabric tensor.

關鍵字(中)

★ 離散元素法
★ 組構
★ 組構張量
★ 顆粒崩塌

關鍵字(英)

論文目次

摘要 I
Abstract II
目錄 III
附圖目錄 VI
附表目錄 X
符號說明 XI
第一章 1
簡介 1
1.1 前言 ………………………………………………………………………………1
1.2 顆粒崩塌流介紹 3
1.3 數值模擬的發展 4
1.4 研究動機與論文架構 6
第二章 8
數值模擬方法與各分析指標之介紹 8
2.1 離散元素法 9
2.2 計算流程(Calculation cycle) 11
2.2.1 力與位移法則(Force-Displacement Law) 11
2.2.2 運動定律(Law of Motion) 14
2.3 模擬操作流程與參數 16
2.4 分析指標計算方法 19
2.4.1 分析指標-流體深度 20
2.4.2 分析指標-流場速度 20
2.4.3 分析指標-顆粒體積佔有率 21
2.4.4 分析指標-旋轉角速度 22
2.4.5 分析指標-配位數(coordination number) 23
2.4.6 分析指標-顆粒接觸力(Contact force) 24
2.4.7 分析指標-慣性數(Inertial number) 24
2.4.8 分析指標-組構及組構張量(Fabric tensor) 25
第三章 38
結果與討論 38
3.1 流體深度 39
3.2 流場速度 40
3.3 顆粒體積佔有率 41
3.4 旋轉角速度 42
3.5 配位數 43
3.6 顆粒接觸力 45
3.7 慣性數 46
3.8 組構及組構張量 48
第四章 82
結論 82
參考文獻 85
附錄A………………………………………...………………………………………92

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指導教授

蕭述三(Shu-San Hsiau)

審核日期

2013-7-23

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