中文摘要
本文以實驗觀察不同粒徑之球狀顆粒在環筒中之運動特性，實驗所使用之球狀顆粒有細粒徑 =1.6cm及粗粒徑 =3.5cm、5cm、8cm之彈珠顆粒，密度約為2.5 ／ ，所採用之環筒轉速為4rpm、10rpm、16rpm，環筒轉動時間為10sec、30sec、60sec、120sec。本文首先量測均一粒徑及混合粒徑之運動型態（包括滑移、擺盪、滾動型態），再探討體積、粗細含量比（粗顆粒重與細顆粒重之比值）、時間及轉速對運動型態是否有影響。在確定運動型態後，再研究單一較粗顆粒於顆粒流體中之運動特性（包括單一較粗顆粒在顆粒流體中之運動觀察以及出露時間之量測），探討粒徑大小與轉速對顆粒出露時間的影響。最後研究不同運動型態下粗細混合顆粒之運動特性（包括粗細混合顆粒之運動現象以及粗顆粒於各向之變化），探討時間、轉速及粗細含量比對粗顆粒變化所造成之影響。
實驗中可發現，隨著轉速（福祿數）的增加，環筒內之顆粒流體會有滑移、擺盪及滾動的現象，於滑移型態下之顆粒流體剖面與臨界剖面相近；擺盪型態下之顆粒流體將在環筒內做週期性之擺盪，且跌移前之擺盪型態坡度與轉速成正比，跌移後之坡度與轉速成反比，而粗細含量比為1：1時，擺盪範圍亦隨著轉速之增加而增加，粗細含量比為3：7、1：9時，顆粒擺盪範圍較小；而在均一粒徑之滾動型態方面，顆粒流體坡度較臨界剖面之坡度大，但較跌移前之擺盪型態坡度小。無論在任何運動型態下，環筒轉動時間對該型態下之顆粒流體剖面形狀之影響並不明顯。當環筒以任何轉速轉動時，顆粒流體於粗細含量比為1：1時之體積最大，3：7時次之，1：9時最小；而在同一轉速之擺盪型態下，跌移前之顆粒流體體積有大於跌移後之顆粒流體體積的現象。
在單一較粗顆粒於顆粒流體中之運動特性方面，發現相對粒徑比（粗顆粒粒徑與細顆粒粒徑之比值）越大、轉速越快，顆粒之第一次出露時間越短，而第二次出露時間與相對粒徑比則無明顯關係。在混合粒徑之運動特性方面，發現當環筒開始轉動時，環筒內之粗細顆粒會有分離現象，粗顆粒將逐漸往前端及兩側壁移動。此外，本文也將利用實驗所得數據說明此現象。

ABSTRACT
This study presents the experimental results of the movement of spherical particles with various sizes in a rotating annular cylinder. The sizes of the spherical particles used in experiments are 1.6cm, 3.5cm, 5cm and 8cm, respectively. And the density of the spherical particles are all about 2.5 / . The rotating speeds of the rotating annular cylinder taken in experiments in this study are 4rpm, 10rpm and 16rpm, respectively. Four rotating time (10sec, 30sec, 60sec and 120sec) are adopted to compare with the movement phenomenon. This study presents the movement states of the single size particles and mixing ones, including sliding, slumping and rolling movement states first. The influence of particles volumes, the ratio of coarse-thin particle contents (the ratio of coarse particles weight and thin particles weight), rotating time and rotating speed on movement states are then discussed. After determining the movement states, the movement of a single coarser particle in granular flow (including the movement phenomenon of a single coarser particle in granular flow and the measurement of the appearing time of the particle) is studied, and the influence of particle size and rotating speed on the appearing time of the particle are discussed. Finally, the movement of the mixing spherical particles with various sizes (including the movement phenomenon of the mixing spherical particles with various sizes and the changes of the coarse particles in each direction), the influence of rotating time, rotating speed and the ratio of coarse-thin particle contents on the changes of the coarse particle quantities are studied.
The experiment demonstrates that the rotating speed increase, the granular flow in the annular cylinder will display the movement phenomenon of sliding, slumping and rolling. At the sliding state, the granular flow profile is close to the critical profile. At the slumping state, the granular flow slumps periodically in the annular cylinder, and the surface slope of slumping state before slumping has direct ratio with rotating speed, and the surface slope of slumping state after slumping has an inverse ratio with rotating speed. If the ratio of coarse-thin particle contents is 1:1, the slumping range increases with rotating speed. However, if the ratio of coarse-thin particle contents is 3:7 and 1:9, the slumping range is smaller. At the rolling state of the single size particles, the surface slope of the granular flow is bigger than the critical one, but it is smaller than the surface slope of slumping state before slumping. Whichever movement states, the shape of profile of granular flow influenced by rotating time is not certainly obvious. Whichever rotating speed, the case of the ratio of coarse-thin particle contents is 1:1, the granular flow volumes is the maximum, the second is 3:7, and 1:9 is the minimum. However, at the same rotating speed, the granular flow volumes before slumping is bigger than the one after slumping.
At the portion of the movement of a single coarser particle in granular flow, the results demonstrate that when the ratio of relative particle size or the rotating speed increases, the first appearing time of the coarser particle will decrease, but the second appearing time is not relative obviously to the ratio of relative particle size. At the portion of the movement of the mixing spherical particles with various sizes, when the annular cylinder starts the rotation, the coarse and thin particles in the annular cylinder will be separated, and the coarse particles will move toward the front end and two sides gradually. Besides, the paper will take the experimental data to explain the phenomenon.

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