旋轉儀中間隙流體與顆粒尺寸對潛變流之影響

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姓名

楊方君(Fang-Chun Yang) 查詢紙本館藏

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機械工程學系

論文名稱

旋轉儀中間隙流體與顆粒尺寸對潛變流之影響

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摘要(中)

本論文主要針對不同間隙流體黏度及顆粒大小對於旋轉儀中潛變流的核心動態行為及顆粒傳輸性質進行探討。首先，利用不同比例的水及甘油調配出不同黏度的液體，並使用黏度計測量其黏度大小，接著藉由搖篩機篩出我們所需的顆粒尺寸範圍，最後進行三種顆粒尺寸及六種間隙流體黏度的實驗。實驗結果的部分首先使用攝影機進行長時間影像紀錄，藉此可分析計算出核心侵蝕率及相位領先率，再利用高速攝影機拍攝其運動過程並透過PTV進行傳輸性質之分析。
實驗結果顯示出間隙流體黏度及顆粒尺寸對於核心區域的顆粒潛變行為的影響是很大的。在核心動態行為的部分可以發現到，當間隙流體黏度越大時核心侵蝕率是越大的，同時相位領先率也會越快，且於乾系統時有較高的相位領先率。而於相同間隙流體黏度不同顆粒直徑時，顆粒越大侵蝕率會下降，相位領先率則會較快。至於在顆粒傳輸性質方面的結果則顯示，當間隙流體黏度越大，顆粒的平均速度、擾動速度和粒子溫度都會越來越小，同時在速度的變化趨勢方面也會越來越小，但在安息角角度及流動層厚度方面則會越來越大。當相同間隙流體黏度不同顆粒大小時，則是呈現顆粒直徑越大，剪應變率越小，特徵長度較大的情形，並且有較大的安息角角度及較小的流動層厚度。最後我們透過一無因次參數可以發現，核心侵蝕率與相位領先率對無因次參數分別是呈現不同數學模型的關係。

摘要(英)

In this study, we report on experiments performed to investigate the core dynamic and the transport properties in a rotating drum with liquids of different viscosities and different particle sizes. In all of the slurry experiments, the drum was completely filled with the interstitial liquid. Several experiments were performed with mixtures of water and glycerin in a range of viscosities.
The experimental results indicate that both of the viscosity of the interstitial fluid and the particle size has a significant effect on the creeping flow in the slurry granular flow. When the particle size is the same, the increase in the liquid viscosity causes the erosion and precession to increase, while all the transport properties seem to decrease. However, the effect of particle size on the core dynamic and the transport properties are more complicated. A dimensionless variable is used to obtain the empirical formula. We found that the correlation between the dimensionless variable, erosion rate, and precession rate as an exponential function and a linear function respectively.

關鍵字(中)

★ 潛變流
★ 旋轉儀
★ 核心
★ 液體黏度
★ 顆粒大小

關鍵字(英)

★ creeping flow
★ rotating drum
★ core
★ fluid viscosity
★ particle size

論文目次

摘要 I
Abstract II
致謝 III
目錄 IV
圖目錄 VI
表目錄 VIII
符號說明 IX
一、簡介 1
1-1粒子流簡介 1
1-2 顆粒體在旋轉儀中的現象 3
1-3 旋轉儀中的運動型態 4
1-4 旋轉儀中滾動型態(rolling)下的顆粒運動情形 5
1-5 潛變流簡介 6
1-6　飽和液體對顆粒體運動現象的影響 7
1-7 研究動機 8
1-8 研究架構 9
二、實驗方法 10
2-1 實驗與觀測量測設備 10
2-2 實驗原理與方法 13
2-2-1 填充率之計算方法 13
2-2-2核心區域分析 14
2-2-3 Correlation簡介 16
2-2-4 粒子溫度之概念 18
2-3 實驗步驟 18
三、結果與討論 21
3-1潛變區域之物理現象與動態行為 21
3-1-1 侵蝕(Erosion) 21
3-1-2 相位領先(Precession) 22
3-2 顆粒傳輸性質及相關參數之分析和對動態行為之影響 23
四、結論 31
參考文獻 33

參考文獻

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指導教授

蕭述三(Shu-San Hsiau)

審核日期

2015-7-16

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