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研究生:林純安
論文名稱:高密度魔晶球在剪力影響下之流動
論文名稱(外文):Flow of Concentrated Hydrogel Spheres Under Shear
指導教授:黃仲仁黃仲仁引用關係蔡日強
指導教授(外文):Jung-Ren HuangJih-Chiang Tsai
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:物理學系
學門:自然科學學門
學類:物理學類
論文種類:學術論文
畢業學年度:103
語文別:中文
論文頁數:82
中文關鍵詞:顆粒流顆粒體
外文關鍵詞:Granular flowGranular material
相關次數:
  • 被引用被引用:0
  • 點閱點閱:140
  • 評分評分:
  • 下載下載:8
  • 收藏至我的研究室書目清單書目收藏:0
我們使用影像分析有彈性的光滑軟顆粒材料(魔晶球)在三維空間中的運動。在雙錐形邊界條件之下,上板以穩定角速度轉動,下板則靜止不動,使魔晶球被一穩定的剪力驅動。在此系統條件底下魔晶球表現出過滲透的行為,並且均方位移曲線(MSD)表現出類週期性的震盪行為,其第一周期曲線增長與魔晶球在水缸內的高度有關。隨著魔晶球所在位置垂直高度的增加,MSD曲線增長至第一高峰值的速率也越快,並且魔晶球的運動行為由角度方向(φ)分量主導。在受穩定剪力影響下的魔晶球運動與同狀況下的牛頓流體之運動行為差異很大,但也不是無序且隨機的布朗運動行為。
We study the three-dimensional motion of a kind of elastic and soft particles with smooth surface, hydrogel spheres, by video imaging. The spheres are subjected to steady shear with the setup of double-cone geometry. In our system, the upper cone is driven by a motor and has constant angular velocity while the lower cone is fixed. The spheres exhibit super diffusion behavior, and the mean square displacement (MSD) shows quasi-periodic behavior with height-dependent periods. The MSD curve increases faster when the height increases before it climbs up to the first peak. The motion of the hydrogel spheres is dominated by the motion in φ direction. In our system the motion of the hydrogel spheres is much different from that of the Newtonian fluid under steady shear and also different from the Brownian motion.
致謝 i
摘要 ii
Abstract iii
目錄 iv
圖表目錄 vi
I. 緒論 - 1 -
I-1研究動機 - 2 -
I-1-1布朗運動(Brownian Motion) - 2 -
I-1-2研究目的 - 3 -
I-1-3論文大綱 - 3 -
I-2顆粒體(Granular Particles) - 3 -
I-2-1顆粒體介紹 - 3 -
I-2-2魔晶球(Hydrogel Spheres) - 3 -
II. 實驗儀器及顆粒追蹤 - 5 -
II-1實驗儀器及實驗步驟 - 5 -
II-2影像擷取與顆粒追蹤 - 6 -
III. 討論 - 8 -
III-1牛頓流體在本系統內之流動 - 8 -
III-2均方位移(MSD) - 8 -
III-2-1 MSD之分析 - 8 -
III-2-2 MSD角度(φ)分量之分析 - 9 -
III-2-3 MSD徑向(ρ)分量之分析 - 9 -
III-2-4 MSD軸向(z)分量之分析 - 9 -
III-3魔晶球在系統中的流動 - 9 -
IV. 結論 - 11 -
V. 圖表 - 12 -
V-1實驗架設圖 - 12 -
V-2實驗數據分析圖 - 14 -
VI. 參考資料 - 70 -
VII. 附錄 - 72 -
單顆粒子追蹤(Single Particle Tracking) - 72 -
計算均方位移(MSD) - 73 -
區域流場分析 - 79 -

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