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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 諶玉真(Yu-Jane Sheng) | |
dc.contributor.author | Yu-En Liang | en |
dc.contributor.author | 梁祐恩 | zh_TW |
dc.date.accessioned | 2021-06-15T05:47:15Z | - |
dc.date.available | 2012-08-20 | |
dc.date.copyright | 2010-08-20 | |
dc.date.issued | 2010 | |
dc.date.submitted | 2010-08-18 | |
dc.identifier.citation | 1. L. Yeo, Surface Tension and Contact Angle.
2. T. Young, An Essay on the Cohesion of Fluids. Philosophical Transactions of the Royal Society of London, 1805. 95(ArticleType: primary_article / Full publication date: 1805 / Copyright © 1805 The Royal Society): p. 65-87. 3. Wikipedia-Curvature. Available from: http://en.wikipedia.org/wiki/Curvature. 4. J. Berthier, Microdrops and digital microfluidics. 2008: William Andrew Publishing. 5. R. Wenzel, Resistance of solid surfaces to wetting by water. Industrial & Engineering Chemistry, 1936. 28(8): p. 988-994. 6. A. Cassie and S. Baxter, Wettability of porous surfaces. Transactions of the Faraday Society, 1944. 40: p. 546-551. 7. J. Plateau, Statique experimentale et theorique des liquides soumis aux seules forces moleculaires. 1873: Gauthier-Villars. 8. L. Rayleigh, On the instability of cylindrical fluid surfaces. Phil. Mag, 1892. 34(207): p. 177-180. 9. B. Carroll, The equilibrium of liquid drops on smooth and rough circular cylinders. Journal of Colloid and Interface Science, 1984. 97(1): p. 195-200. 10. F. Brochard, Spreading of liquid drops on thin cylinders: The 'manchon/droplet' transition. The Journal of chemical physics, 1986. 84: p. 4664. 11. B. Carroll, The accurate measurement of contact angle, phase contact areas, drop volume, and Laplace excess pressure in drop-on-fiber systems. Journal of Colloid and Interface Science, 1976. 57(3): p. 488-495. 12. G. McHale, M.I. Newton, and B.J. Carroll, The shape and stability of small liquid drops on fibers. Oil and Gas Science and Technology, 2001. 56(1): p. 47-54. 13. S. Rebouillat, B. Letellier, and B. Steffenino, Wettability of single fibres-beyond the contact angle approach. International Journal of Adhesion and Adhesives, 1999. 19(4): p. 303-314. 14. N. Adam, Detergent action and its relation to wetting and emulsification. Journal of the Society of Dyers and Colourists, 1937. 53(4): p. 121-129. 15. B.J. Carroll, Equilibrium conformations of liquid drops on thin cylinders under forces of capillarity. A theory for the roll-up process. Langmuir, 1986. 2(2): p. 248-250. 16. G. McHale and M.I. Newton, Global geometry and the equilibrium shapes of liquid drops on fibers. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2002. 206(1-3): p. 79-86. 17. G. McHale, et al., Wetting of a High-Energy Fiber Surface* 1. Journal of Colloid and Interface Science, 1997. 186(2): p. 453-461. 18. G. McHale and M. Newton, Global geometry and the equilibrium shapes of liquid drops on fibers. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2002. 206(1-3): p. 79-86. 19. D. Quéré, Fluid coating on a fiber. Annual Review of Fluid Mechanics, 1999. 31: p. 347-384. 20. B. Carroll, Physical aspects of detergency. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 1993. 74(2-3): p. 131-167. 21. N. Bernet, P.E. Bourban, and J.A.E. Månson, On the characterization of wetting and adhesion in glass fiber-PA12 composites. Journal of Thermoplastic Composite Materials, 2000. 13(6): p. 434-450. 22. E. Lorenceau, C. Clanet, and D. Quere, Capturing drops with a thin fiber. Journal of Colloid and Interface Science, 2004. 279(1): p. 192-197. 23. E. Lorenceau and D. Quéré, Drops on a conical wire. Journal of Fluid Mechanics, 2004(510): p. 29-45. 24. T. Gilet, D. Terwagne, and N. Vandewalle, Digital microfluidics on a wire. Applied Physics Letters, 2009. 95: p. 014106. 25. K. Brakke, The surface evolver. Experimental Mathematics, 1992. 1(2): p. 141-165. 26. Wikipedia-Dripping_liquid. http://en.wikipedia.org/wiki/Dripping_liquid. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/47088 | - |
dc.description.abstract | 本篇研究目的在提供液滴的潤濕行為與表面結構之背景知識。在理想的平坦表面上,液滴的潤濕現象可用 Young's方程式描述,但隨者合成與加工技術之進步,微奈米材料的表面圖案與塊材形狀(如圓柱狀)在科學研究中經常被探討。 改變表面與整體形狀對於潤濕行為的影響是界面科學的重要議題。然而,就已知的文獻資料看來,以理論與模擬分析的研究是比較困難,因為形狀是非軸對稱。對於理想(無粗糙度)柱體形狀, Young's 方程式是不足以描述其潤濕行為,目前也無適當的理論方程式(如著名的Wenzel模型或Cassie-Baxter模型)可用於預測液體的形狀。更重要地,柱體形狀與表面接觸角兩者對潤濕現象的影響。以熱力學能量最小化法的觀念,本研究藉由數值軟體(Surface Evolver)探討柱體上的潤濕現象。第三章將研究忽略重力的情況,重新解釋先前文獻的研究結果,並進一步解釋其不完善之處。第四章將計算重力效應的影響。就本研究對於圓柱系統的液滴潤濕行有詳細的研究。將以液滴形狀,體積與表面接觸角等因子來描述並建立對應的相圖。另外,我們發現在相同情況下(同一接觸角及液滴體積),會有不只一種型態的液滴存在,即共存區,是另一重點。比對過去文獻的結果與本研究的實驗結果可知,該相圖的資訊在定性與定量上有著良好的描述。未來的研究可以延伸至柱體的半徑隨軸變化、柱體的表面有粗糙度和多根柱體(網狀)等情況下的潤濕行為。 | zh_TW |
dc.description.abstract | The wetting behavior of a droplet on a planar solid surface is well-known. Due to the geometrical constraint of the fiber, however, the equilibrium shapes of a droplet on fibers are more complicated and therefore are less studied. A combined numerical simulation and experimental investigation were employed to examine the conformations of a droplet on a fiber. The energy calculation results were accurately achieved by using a powerful modeling tool, the Surface Evolver, to present the fiber-droplet system in mathematical model taking surface tension, gravity energy, and other geometrical constraints into consideration. In the first part, we simulate our fiber-droplet system with no gravity and compare the results to Carroll’s and McHale’s work. Our results show that the existence of inflection point for barrel shape is a good criterion in determining if a barrel shape droplet could exist. We also find the coexistent region of two configurations. In the second part, we simulate our fiber-droplet system with gravity. Our results demonstrate that several regimes can be found. If the droplets volume is too small to cover the fiber in a barrel shape, the droplets can only exist in shapes of downward and upper clam-shell(Regime I). For droplets where the gravity effect is not too significant, shapes of upper clam-shell, barrel, and downward clam-shell can co-exist (Regime II). As volume increases, the upper clam-shell droplet becomes unstable (Regime III); if the volume grows larger further, the barrel also ceases to exist, leaving only the downward clam-shell one (Regime IV). Finally, gravity turns out to be the most important factor and the droplet can no longer be attached to the fiber (Regime V). Our results also indicate that the intrinsic surface property (e.g. the contact angle) of the fiber has significant effect on these regimes, number of the regimes changes as the contact angle varies. This work can be related to a number of industrial applications regarding fiber-based microfludics such as low-cost medical diagnostic and cell cultivation. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T05:47:15Z (GMT). No. of bitstreams: 1 ntu-99-R97524070-1.pdf: 3626084 bytes, checksum: 382152c77c669767f7d59b5ac3d902de (MD5) Previous issue date: 2010 | en |
dc.description.tableofcontents | 致謝 I
摘要 III Abstract IV Content VI Content of Figures VII Content of Table XIII Chapter 1 Introduction 1 1.1 Factors of Wetting 1 1.1.1 Surface Tension 1 1.1.2 Gravity Effect 6 1.1.3 Geometry Effect 8 1.2 Wetting Behavior on a Fiber 11 1.2.1 The Barrel Shape Droplet and the Clam-shell Shape Droplet 11 1.2.2 Three Approaches in Determining the Equilibrium Shapes of a Fiber-droplet System 16 1.2.3 Research Objectives 19 Chapter 2 Simulation Tool: the Surface Evolver (SE) 22 Chapter 3 Equilibrium Shapes of Droplet on a Thin Cylinder without Gravity 33 Chapter 4 Equilibrium Shapes of Droplet on a Thin Cylinder with Gravity 51 4.1 Barrel Shape Droplet with Gravity Force 52 4.1.1 Volume Effect 52 4.2 Downward Clam-shell Droplet with Gravity Force 59 4.3 Upper Clam-shell Droplet with Gravity Force 63 4.4 Phase diagram for barrel, downward and upper clam-shell 67 Chapter 5 Conclusion 73 Reference 76 Appendix A 79 | |
dc.language.iso | en | |
dc.title | 液滴在細桿上的平衡型態之研究 | zh_TW |
dc.title | The Equilibrium Shapes of Liquid Drops on a Thin Cylinder | en |
dc.type | Thesis | |
dc.date.schoolyear | 98-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 曹恆光,林祥泰,戴子安 | |
dc.subject.keyword | 潤溼,纖維,穩定型態,桶狀液滴,蚌殼狀液滴,幾何型態, | zh_TW |
dc.subject.keyword | Wetting,Fiber,Stability,Barrel,Clam-shell,Geometry, | en |
dc.relation.page | 79 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2010-08-19 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 化學工程學研究所 | zh_TW |
顯示於系所單位: | 化學工程學系 |
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