博碩士論文 110328008 詳細資訊




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姓名 施呈恩(Cheng-En Shih)  查詢紙本館藏   畢業系所 能源工程研究所
論文名稱 不同密度侵入物於振動流體內運動現象之研究
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檔案 [Endnote RIS 格式]    [Bibtex 格式]    [相關文章]   [文章引用]   [完整記錄]   [館藏目錄]   至系統瀏覽論文 (2028-7-31以後開放)
摘要(中) 本研究透過實驗的方式來探討於相同無因次振動強度下,改變不同流體、振動頻率與水高對不同密度比的侵入物(Intruder)在類二維垂直振動床中的巴西豆現象,藉由高速攝影機拍攝照片並利用PTV(Particle Tracking Velocimetry)來分析顆粒的運動行為,並探討侵入物的上升時間與上升速度、顆粒床底部顆粒的水平速度以及侵入物於上升時所受阻力。
當流體為水時,水會影響顆粒的運動,對於尺寸較小的背景顆粒而言,水主導了侵入物與背景顆粒分離的過程,水會使侵入物的上升時間與密度比有依賴性,當密度比趨近背景顆粒的體積佔有率時,侵入物的上升時間最長。透過改變水高可發現,水高越低侵入物上升越慢,這是因為水表面距離顆粒床較近,抑制侵入物的向上運動,而水高較高侵入物上升越快。除了水表面干擾的減少外,增加水高會增加顆粒飛躍時床體的壓力差,進而增加水向下流動的速度,使水更快的側向拖曳背景顆粒填補侵入物底下的空隙,增強巴西豆現象。在水高較低時,頻率越小會使水表面波動施加在顆粒床的干擾更加劇烈,質量與慣性較低的侵入物容易受到影響,輸入的能量越強侵入物的上升時間反而越慢,而在水高較高時,水表面波動對顆粒床的影響減弱,輸入的能量越強可使侵入物的淨向上位移增加,進而增強水驅動的巴西豆現象,使侵入物的上升時間減少。
摘要(英) This study investigates the Brazil Nut Effect (BNE) in a quasi-two-dimensional vertical vibrated bed by changing different fluid, vibration frequency, and water height to different density ratios of intruders under the same dimensionless vibration intensity through experiments. Take pictures with a high-speed camera and use PTV (Particle Tracking Velocimetry) to analyze the movement of particles, the rise time and velocity of the intruder, the horizontal velocity of the granular bed, and the drag force on the intruder.
When the fluid is water, the water to the particles must be taken into account. For the smaller background particles, the water dominates the size separation process, and the water drag force will make the rise time of the intruder depend on the density ratio. When the density ratio approaches the packing fraction of the small particle, the intruder needs more time to rise. In the case of changing the water height, the lower the water height, the slower the intruder rises, because the water surface close to the granular bed, which affect the upward movement of the intruder. The higher the water height, the faster the intruder rises, increasing the water height will increase the pressure difference of the granular bed, thereby increasing the velocity of the water flowing downward, making the water drag the background particles laterally faster to fill the gap under the intruder, and eventually enhance the BNE. When the water height is low, the smaller the frequency, the more severe the disturbance imposed by the water surface fluctuation on the granular bed, and the intruder with lower mass is easily affected, the stronger the input energy, the slower the rise time of the intruder. When the water height is high, the stronger the input energy can increase the net upward displacement of the intruder, thereby enhancing the water-driven BNE and reducing the rise time of the intruder.
關鍵字(中) ★ 粒子流
★ 振動床
★ 侵入物
★ 巴西豆效應
★ 流體
關鍵字(英) ★ Granular flow
★ Vibrated bed
★ Intruder
★ Brazil nut Effect
★ Fluid
論文目次 中文摘要 i
Abstract ii
目錄 iii
附圖目錄 v
表格目錄 viii
符號說明 ix
第一章 簡介 1
1.1 研究背景 1
1.2 顆粒體的分離行為 1
1.3 顆粒體於振動床內的行為 3
1.3.1 流體對顆粒體的影響 6
1.4 研究動機 8
第二章 實驗方法 12
2.1 研究設備 12
2.2 研究方法 14
2.2.1 實驗參數 14
2.2.2 粒子追蹤測速法 15
2.2.3 顆粒的傳輸性質影像分析 15
2.3 無因次質量流率 16
2.4 從能量守恆公式來解釋侵入物的上升行為 17
2.5 實驗步驟 17
第三章 結果與討論 29
3.1 振動床內侵入物的上升行為 30
3.1.1 探討侵入物於空氣中的上升行為 30
3.1.2 探討不同水高下侵入物於水中的上升行為 30
3.1.3 探討不同頻率下侵入物於水中的上升行為 33
3.2 顆粒床底部顆粒的水平運動對侵入物上升行為之影響 34
3.2.1 不同水高對顆粒床底部顆粒的水平運動之影響 34
3.2.2 振動頻率對顆粒床底部顆粒的水平運動之影響 35
3.3 振動頻率、水高及侵入物密度比對侵入物所受阻力的影響 35
3.3.1 水高對侵入物所受阻力的影響 36
3.3.2 振動頻率對侵入物所受阻力的影響 36
3.4 水高對無因次質量流率的影響 36
第四章 結論 64
參考文獻 66
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指導教授 蕭述三(Shu-San Hsiau) 審核日期 2023-8-11
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