臺灣博碩士論文加值系統

本研究探討在類二維的振動床系統中，不同表面粗糙度的大顆粒(或稱Intruder)在顆粒床中的巴西豆現象。所謂的巴西豆現象是指顆粒因為大小的不同，粒徑較大的顆粒會隨著時間上升至自由表面，而較小的顆粒會沉在容器底部。本研究以高速攝影機擷取大顆粒在顆粒床裡的動態行為，並藉由改變不同的振動條件以及顆粒床填充高度，觀察這些條件對不同表面粗糙度的大顆粒上升行為的影響。
本研究的實驗結果顯示，大顆粒的上升時間隨著無因次振動加速度增加而增長，隨著振動頻率增加而減少，上升速度隨著填充高度增加而減少。而且摩擦係數比較大的大顆粒，因為上升過程中，摩擦力造成的能量消散較大，從容器底部上升到自由表面的時間會比較長，摩擦係數較小的大顆粒，則因為摩擦力對它上升過程中的影響較小，所以上升地較快。而且不同摩擦係數大顆粒的上升時間，在較小無因次振動加速度、較大振動頻率以及較大的填充高度下，差異較為明顯。

This study investigates experimentally the Brazil-nut effect in a quasi-2D vertical vibrated granular bed, the only difference lying in the surface roughness of the larger disks (or called intruders). The so-called “Brazil nut problem” means the larger particle rises to the top of the container and the smaller particles move to the bottom. The dynamics of the larger disk is recorded by using a high speed camera. The effects of vibration conditions and filling height of the granular bed on the dynamics of intruder are investigated in the study.
The results show that the rising velocity decreases with increasing granular bed filling height. It also shows that the rising time becomes faster with the larger dimensionless vibration acceleration and smaller vibration frequency is applied in the granular system. However, the rise time of the rough disks is smaller than the smooth one because of the larger energy dissipation of the rough disks. Additionally, the difference in the rising time between the rough and smooth intruders is more significant with the smaller dimensionless vibration acceleration, higher vibration frequency and higher granular bed filling height.

摘要 i
Abstract ii
目錄 iii
附圖目錄 v
附表目錄 viii
符號說明 ix
第一章 簡介 1
1.1 粒子流簡介 1
1.2 顆粒材料的運動現象 2
1.3 顆粒材料的分離現象 4
1.3.1 巴西豆現象與逆巴西豆現象 4
1.3.2 單一大顆粒(intruder)置於顆粒床內的分離現象 8
1.3.3 摩擦係數對顆粒材料分離的影響 11
1.4 研究動機 13
第二章 實驗設備與方法 14
2.1 實驗設備 14
2.2 實驗參數說明 17
2.3 實驗流程 18
2.4 影像分析程式 18
2.5 誤差分析 20
第三章 結果與討論 21
3.1 無因次振動加速度對不同表面粗糙度的大顆粒其動態行為的影響 21
3.2 振動頻率對不同表面粗糙度的大顆粒其動態行為的影響 26
3.3 改變顆粒床填充高度對不同表面粗糙度的大顆粒動態行為的影響 30
3.4 大顆粒的摩擦係數對於其上升行為的影響 32
第四章 結論 34
參考文獻 35

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