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  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/3712
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dc.contributor.advisor蔡日強 博士(Jih-Chiang Tsai),黃仲仁 博士(Jung-Ren Huang)
dc.contributor.authorMing-Ruey Chouen
dc.contributor.author周明叡zh_TW
dc.date.accessioned2021-05-13T08:36:08Z-
dc.date.available2016-08-30
dc.date.available2021-05-13T08:36:08Z-
dc.date.copyright2016-08-30
dc.date.issued2016
dc.date.submitted2016-08-17
dc.identifier.citationBarnes, H. A., Hutton, J. F., & Walters, K. (1989). An introduction to rheology (Vol. 3): Elsevier.
Batchelor, G. (1977). The effect of Brownian motion on the bulk stress in a suspension of spherical particles. Journal of Fluid Mechanics, 83(01), 97-117.
Brujić, J., Wang, P., Song, C., Johnson, D. L., Sindt, O., & Makse, H. A. (2005). Granular dynamics in compaction and stress relaxation. Physical Review Letters, 95(12), 128001.
Chen, D. T. N., Wen, Q., Janmey, P. A., Crocker, J. C., & Yodh, A. G. (2010). Rheology of Soft Materials. Annual Review of Condensed Matter Physics, 1(1), 301-322. doi:10.1146/annurev-conmatphys-070909-104120
Coussot, P. (2005). Rheometry of pastes, suspensions, and granular materials: applications in industry and environment: John Wiley & Sons.
De, S. K., Aluru, N., Johnson, B., Crone, W., Beebe, D. J., & Moore, J. (2002). Equilibrium swelling and kinetics of pH-responsive hydrogels: Models, experiments, and simulations. Microelectromechanical Systems, Journal of, 11(5), 544-555.
Doi, Y., Gray, F. M., Buchholz, F. L., Graham, A. T., Striegel, A., Yau, W. W., . . . Archer, R. D. (1994). Rheology: principles, measurements, and applications.
Forterre, Y., & Pouliquen, O. (2008). Flows of Dense Granular Media. Annual Review of Fluid Mechanics, 40(1), 1-24. doi:10.1146/annurev.fluid.40.111406.102142
Hartley, R., & Behringer, R. (2003). Logarithmic rate dependence of force networks in sheared granular materials. Nature, 421(6926), 928-931.
Johnson, B., Beebe, D., & Crone, W. (2004). Effects of swelling on the mechanical properties of a pH-sensitive hydrogel for use in microfluidic devices. Materials Science and Engineering: C, 24(4), 575-581.
Kawasaki, T., Coslovich, D., Ikeda, A., & Berthier, L. (2015). Diverging viscosity and soft granular rheology in non-Brownian suspensions. Phys Rev E Stat Nonlin Soft Matter Phys, 91(1), 012203. doi:10.1103/PhysRevE.91.012203
Lachhab, T., & Weill, C. (1999). Compression of a soft sphere packing. The European Physical Journal B-Condensed Matter and Complex Systems, 9(1), 59-69.
Liu, A. J., & Nagel, S. R. (1998). Nonlinear dynamics: Jamming is not just cool any more. Nature, 396(6706), 21-22.
Liu, A. J., & Nagel, S. R. (2010). The Jamming Transition and the Marginally Jammed Solid. Annual Review of Condensed Matter Physics, 1(1), 347-369. doi:10.1146/annurev-conmatphys-070909-104045
Mewis, J., & Wagner, N. J. (2012). Colloidal suspension rheology: Cambridge University Press.
MiDi, G. D. R. (2004). On dense granular flows. Eur Phys J E Soft Matter, 14(4), 341-365. doi:10.1140/epje/i2003-10153-0
Mitarai, N., & Nori, F. (2006). Wet granular materials. Advances in Physics, 55(1-2), 1-45.
Mohan, L., Bonnecaze, R. T., & Cloitre, M. (2013). Microscopic origin of internal stresses in jammed soft particle suspensions. Physical Review Letters, 111(26), 268301.
Mohan, L., Cloitre, M., & Bonnecaze, R. T. (2015). Build-up and two-step relaxation of internal stress in jammed suspensions. Journal of Rheology, 59(1), 63-84. doi:10.1122/1.4901750
Mukhopadhyay, S., & Peixinho, J. (2011). Packings of deformable spheres. Physical review E, 84(1), 011302.
O’Hern, C. S., Silbert, L. E., Liu, A. J., & Nagel, S. R. (2003). Jamming at zero temperature and zero applied stress: The epitome of disorder. Physical review E, 68(1), 011306.
Olsson, P. (2015). Relaxation times and rheology in dense athermal suspensions. Phys Rev E Stat Nonlin Soft Matter Phys, 91(6), 062209. doi:10.1103/PhysRevE.91.062209
Poon, W. C., Weeks, E. R., & Royall, C. P. (2012). On measuring colloidal volume fractions. Soft Matter, 8(1), 21-30.

Puttock, M., & Thwaite, E. (1969). Elastic compression of spheres and cylinders at point and line contact: Commonwealth Scientific and Industrial Research Organization Melbourne, VIC, Australia.
Stickel, J. J., & Powell, R. L. (2005). Fluid Mechanics and Rheology of Dense Suspensions. Annual Review of Fluid Mechanics, 37(1), 129-149. doi:10.1146/annurev.fluid.36.050802.122132
Takigawa, T., Morino, Y., Urayama, K., & Masuda, T. (1996). Poisson's ratio of polyacrylamide (PAAm) gels. Polymer Gels and Networks, 4(1), 1-5.
van der Vaart, K., Rahmani, Y., Zargar, R., Hu, Z., Bonn, D., & Schall, P. (2013). Rheology of concentrated soft and hard-sphere suspensions. Journal of Rheology, 57(4), 1195. doi:10.1122/1.4808054
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/3712-
dc.description.abstract為了研究巨觀軟顆粒懸浮液的流變學性質,將荷重元搭配一個可用程式控制的步進馬達驅動近似雙錐邊界造形的壓克力齒盤,成為一個自製的流變儀,我檢視了儀器在力訊號量測以及馬達在施以材料應變上的的性質與限制。實驗以凝膠球和與其密度匹配的溶液形成不受熱擾動影響,且軟顆粒緊密堆積的懸浮液系統,並且進行實驗量測凝膠球本身的彈性以及體積大小。
初步研究成果包括:在數個不同的體積百分率下,先施以材料一個不為零的剪切速率,接著突然停止外加的剪切速率,觀察材料如何從處於流動的非平衡態,鬆弛到靜止的過程。即使等待數天,軟顆粒材料的應力仍然無法完全歸零,會有殘餘應力留下;同時,觀察在此鬆弛過程中應力隨時間的變化,對照系統在定轉速下的穩態應力,試圖釐清在軟顆粒的懸浮液系統中的時間尺度。
zh_TW
dc.description.abstractTo study the rheology of non-Brownian soft particle suspension system, we construct a rheometer with load cells and a stepping motor. The system drives the material with its double-cone geometry made by acrylic plates. We examined the features of force measurement and the constraints of driving system. Gigantic hydrogel particles with density-matched solution forms the suspension system, where the mechanical properties of hydrogel particles are measured.

After the cessation of flows, material relaxes from non-equilibrium steady state to a quasi-static state. The rheology response of material over few volume fractions is investigated. I observed that the residual stresses are non-zero even after long time waiting. Also, comparing the relaxation process with the non-equilibrium steady state measurements, we try to understand the time scales involved in soft particles suspension.
en
dc.description.provenanceMade available in DSpace on 2021-05-13T08:36:08Z (GMT). No. of bitstreams: 1
ntu-105-R02222022-1.pdf: 5967033 bytes, checksum: 77c1c7496df67757573c748ac3906aa8 (MD5)
Previous issue date: 2016
en
dc.description.tableofcontents中文摘要 i
ABSTRACT ii
謝辭 iii
目錄 iv
正文圖片目錄 vii
符號說明 viii
CHAPTER 1 緒論 1
1-1 介紹 1
1-2 文獻回顧 3
1-3 結構安排說明 4
CHAPTER 2 實驗儀器 5
2-1 自製的流變儀實驗系統 5
2-1-1 荷重元的架設 5
2-1-2 正向力與總力矩的定義 6
2-1-3 雙錐邊界 7
2-1-4 剪切速率、剪應變與應力的定義 9
2-2 測試系統力訊號量測的性質 10
2-2-1 應力訊號的雜訊大小 10
2-2-2 力訊號長時間量測的穩定性 11
2-2-3 總力矩訊號零點的偏移 12
2-3 馬達的運轉與馬達位置量測 13
2-3-1 往復轉動模式(Seesaw Mode) 14
2-3-2 馬達以定角速度單方向旋轉(DC Mode) 15
2-3-3 大振幅的簡諧轉動(LAOS) 16
2-4 小結 17
CHAPTER 3 材料 19
3-1 密度匹配 20
3-1-1 溶液製備概要 20
3-1-2 溶液製備流程 20
3-1-3 溶液製備結果 21
3-2 材料的應力性質量測 21
3-2-1 單顆球的壓縮量測 21
3-2-2 單顆球直徑與楊氏模量的擬合 22
3-2-3 擬合的楊氏模量與直徑隨時間的變化 24
3-2-4 懸浮液的壓縮量測 25
3-3 凝膠球的體積量測與其隨時間的變化 27
3-3-1 體積的粗估 27
3-3-2 以光槓桿量測凝膠球體積隨時間的變化 28
3-4 小結 31
CHAPTER 4 軟顆粒懸浮液的動態性質 32
4-1 材料的應力反應 32
4-1-1 液體對應力曲線的影響 34
4-1-2 長時間鬆弛的量測 37
4-2 擬穩態應力與殘餘應力 38
4-2-1 符號定義說明 38
4-2-2 擬穩態應力與殘餘應力定義 39
4-2-3 振幅、轉動速率與體積百分率的影響 40
4-3 鬆馳過程 43
4-3-1 鬆馳過程中應力分量與相平均 44
4-3-2 以函數擬合鬆弛過程的應力曲線 45
4-3-3 單自然指數函數擬合結果 47
4-3-4 雙自然指數函數擬合結果 49
4-4 定轉速的穩態量測 52
4-4-1 定轉速的穩態量測結果 52
4-4-2 因實驗過程造成的穩態應力值誤差 53
4-4-3 穩態應力值與擬穩態應力的比較 55
4-5 小結 56
CHAPTER 5 結論與討論 58
參考資料 60
附錄 62
A. 線上電子資料 62
A-0 2016年8月新版訊號擷取、驅動控制以及資料分析程式 62
A-1 DAQ訊號擷取與馬達驅動控制 62
A-1-1 電壓訊號擷取說明 63
A-1-2 馬達控制概要 63
A-1-3 Labview程式的使用說明 64
A-2 實驗資料處理流程 64
A-2-1 電壓資料轉換成力訊號的處理流程 64
A-2-2 相平均(Phase-Averaging)處理流程 65
A-3 密度匹配與PVP溶液配置操作手冊 65
B. 上下邊界的固定與系統體積 65
C. 其他實驗成果:從內部成像觀察鬆弛過程 67
D. 其他實驗成果:大振幅簡諧轉動實驗(LAOS) 70
D-1 A類實驗實驗結果 70
D-2 B類實驗實驗結果 73
dc.language.isozh-TW
dc.subject鬆弛zh_TW
dc.subject流變學zh_TW
dc.subject流變儀zh_TW
dc.subject懸浮液zh_TW
dc.subject軟顆粒zh_TW
dc.subjectRelaxationen
dc.subjectSoft Particleen
dc.subjectSuspensionen
dc.subjectRheometeren
dc.subjectRheologyen
dc.title初探軟顆粒懸浮液流變學:自製流變儀zh_TW
dc.titleRheometry on Concentrated Suspension of Soft Particlesen
dc.typeThesis
dc.date.schoolyear104-2
dc.description.degree碩士
dc.contributor.coadvisor陳義裕 博士(Yih-Yuh Chen)
dc.subject.keyword流變學,流變儀,懸浮液,軟顆粒,鬆弛,zh_TW
dc.subject.keywordRheology,Rheometer,Suspension,Soft Particle,Relaxation,en
dc.relation.page76
dc.identifier.doi10.6342/NTU201603010
dc.rights.note同意授權(全球公開)
dc.date.accepted2016-08-18
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理學研究所zh_TW
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