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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 李克強(Eric Lee) | |
| dc.contributor.author | Shih-Han Lou | en |
| dc.contributor.author | 羅仕瀚 | zh_TW |
| dc.date.accessioned | 2021-06-13T16:36:03Z | - |
| dc.date.available | 2005-08-01 | |
| dc.date.copyright | 2005-08-01 | |
| dc.date.issued | 2005 | |
| dc.date.submitted | 2005-07-07 | |
| dc.identifier.citation | 1. Duncan J Shaw, 張有義、郭蘭生編著, 「膠體與介面現象入門」, 高立圖書公司, 1997.
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Barchini and D. A. Saville, “Electrokinetic properties of surfactant-stabilized oil droplets”, Langmuir, 12, 1442, (1996). 15. Von Smoluchowski, M., “Experiments on a mathematical theory of kinetic coagulation of colloid solutions”, Zeitschrift Fur Physikalische Chemie--Stochiometrie Und Verwandtschaftslehre, 92, 129 (1918). 16. Huckel, E., “Physikalische Zeitschrift”, Physikalische Zeitschrift 25, 204 (1924). 17. D.C. Henry, “The cataphoresis of suspended particles.” Proceeding of Royal Society of London Series A, 133, 106 (1931). 18. Overbeek, J. Th. G., “Quantitative interpretation of the electrophoretic velocity of colloids”, Advances in Colloid and interface Science, 3, 97 (1950). 19. Booth, F., “The Cataphoresis Of Spherical, Solid Non-Conducting Particles In A Symmetrical Electrolyte”, Proceeding of Royal Society of London Series A, 203 514 (1950). 20. Wiersema, P.H., Loeb, A.L., and Overbeek, J. Th. G., “Calculation of electrophoretic mobility of a spherical colloid particle”, Journal of Colloid and Interface Science,, 22, 78 (1966). 21. O’Brien, R.W., and White, L.R., “Electrophoretic Mobility of A Spherical Colloidal Particle”, Journal of Chemical Society Faraday II., 74, 1607 (1978). 22. O’Brien, R.W., and Hunter, R.J., “The electrophoretic mobility of large colloidal particles”, Canadian journal of chemistry-revue canadienne de chimie, 59, 1878 (1981). 23. Ohshima, H., Healy, T.W., and White, L.R., “Approximate Analytic Expressions for the Electrophoretic Mobility of Spherical Colloidal Particles and the Conductivity of Their Dilute Suspensions” Journal of Chemical Society Faraday Transition II., 279, 1613 (1983). 24. Ohshima, H., “Electrophoresis of soft particles”, Advances in Colloid and interface Science, 62, 189 (1995). 25. Lee E., Chu, J. W., and Jyh-Ping Hsu, “Electrophoretic mobility of a sphere in a spherical cavity”, Journal of Colloid and Interface Science, 205, 65 (1998). 26. Lee E., Chu, J. W., and Hsu, J.P., “Electrophoretic mobility of concentrated spherical particles”, Journal of Colloid and Interface Science, 209, 240 (1999). 27. Levine, S., and Neale, G.H., “Prediction of electrokinetic phenomena within multiparticle systems. 1. Electrophoresis and electroosmosis”, Journal of Colloid and Interface Science, 47, 520 (1974). 28. Sorensen T. S., Compan V., “Nernst - Planckian electrodynamics, the excess interfacial impedance, and the complex permittivity of a lamellar membrane with overlapping dynamic electric double layers. 2. The case of negligible end effects, identical ionic diffusion coefficients in each phase, and identical Nernst distribution coefficients”, Journal of colloid and interface science, 178, 186 (1996). 29. Kozak, M.W., and Davis, E.J., “Electrokinetics of concentrated suspensions and porous-media. 1. Thin electrical double-layers”, Journal of Colloid and Interface Science, 127, 497 (1989). 30. Kozak, M.W., and Davis, E.J., “Electrokinetics of concentrated suspensions and porous-media. 2. Moderately thick electrical double-layers”, Journal of Colloid and Interface Science, 129, 166 (1989). 31. Keh, H.J. and Anderson, J.L., “Boundary effects on electrophoretic motion of colloidal spheres”, Journal of Fluid Mechanics, 153, 417 (1985). 32. Keh, H.J., and Chiou, J.Y., “Electrophoresis of a colloidal sphere in a circular cylindrical pore”, AIChE Journal, 42, 1397 (1996). 33. Zydney, A.L., “Boundary effects on the electrophoretic motion of a charged particle in a spherical cavity”, Journal of Colloid and Interface Science, 169, 476 (1995). 34. Craxford SR, Gatty O, McKay HAC, “The theory of electrocapillarity - Part VI A note on electrophoresis”, Philosophical Magazine, 25, 172 (1937). 35. Booth, F., “Sedimentation potential and velocity of solid spherical particles”, Journal of Chemical Physics, 22, 1956, (1954). 36. Levich, V. G., “Physicochemical Hydrodynamics”, Prentice Hall, Chapter Ⅸ (1962). 37. Levine, S. and O’Brien, R.N., “Theory of electrophoresis of charged mercury drops in aqueous-electrolyte”, Journal of Colloid and Interface Science, 43, 616 (1973). 38. Ohshima, H., “Electroosmotic velocity in fibrous porous media”, Journal of Colloid and Interface Science, 218, 535 (1999). 39. Ohshima, H., “A simple expression for the electrophoretic mobility of charged mercury drops”, Journal of Colloid and Interface Science, 189, 376 (1997). 40. Baygents, J.C. and Saville, D.A., “Electrophoresis of drops and bubbles” Journal of the Chemical Society, Faraday Transactions, 87, 1883 (1991). 41. Baygents, J.C. and Saville, D.A., “Electrophoresis of small particles and fluid globules in weak electrolytes”, Journal of Colloid and Interface Science, 146, 9 (1991). 42. Kuwabara, S., “The forces experienced by randomly distributed parellel circular cylinders or spheres in a viscous flow at small reynolds numbers”, Journal of the Physical Society of Japan, 14, 527 (1959). 43. Ohshima H., “Electrokinetic phenomena in a concentrated dispersion of mercury drops”, Journal of Colloid and Interface Science, 218, 533 (1999). 44. Ohshima H., “Electrophoretic mobility of a liquid drop in a salt-free medium”, Journal of Colloid and Interface Science, 263, 333 (2003). 45. Lee, Eric, Kao, J. D., Hsu, J. P., “Electrophoresis of a nonrigid entity in a spherical cavity”, Journal of Physical Chemistry B, 106, 8790 (2002). 46. Lee, Eric, Hu, J. K., Hsu, J. P., “Electrophoresis of concentrated mercury drops”, Journal of Colloid and Interface Science, 257, 250 (2003). 47. Lee, Eric, Fu, C. H., Hsu, J. P., “Electrophoresis of a concentrated dispersion of nonrigid particles”, Langmuir, 19, 3035 (2003). 48. Lee, Eric, Chang, C. J., Hsu, J. P., “Electrophoresis of a concentrated aqueous dispersion of non-Newtonian drops”, Journal of Colloid and Interface Science, 282, 486 (2005). 49. Morrison, F.A. and Stukel, J.J., “Electrophoresis of an insulating sphere normal to a conducting plane”, Journal of Colloid and Interface Science, 33, 88 (1970). 50. Keh, H.J. and Lien, L.C., “Electrophoresis of a dielectric sphere normal to a large conducting plane”, Journal of the Chinese Institute of Chemical Engineers, 20, 283 (1989). 51. Sellier, A., “Electrophoresis of an insulating particle near a plane boundary”, Powder Technology, 125, 187 (2002). 52. Feng, J.J. and Wu, W.Y., “Electrophoretic motion of an arbitrary prolate body of revolution toward an infinite conducting wall”, Journal of Fluid Mechanic, 264, 41 (1994). 53. Ennis, J. and Anderson, J.L., “Boundary effects on electrophoretic motion of spherical particles for thick double layers and low zeta potential”, Journal of Colloid and Interface Science, 185, 497 (1997). 54. Shugai, A.A., Carnie, S.L., Chan Derek Y.C., Anderson, J.L., “Electrophoretic motion of two spherical particles with thick double layers”, Journal of Colloid and Interface Science, 213, 298 (1997). 55. Teubner, M., “The motion of charged colloidal particles in electric-fields”, Journal of chemical physics, 76, 5564 (1982). 56. Tang Y. P., Chih M. H., Lee, Eric, Hsu, J. P., “Electrophoretic motion of a charge-regulated sphere normal to a plane”, Journal of Colloid and Interface Science, 242, 121 (2001). 57. Chih M. H., Lee, Eric, Hsu, J. P., “Electrophoresis of a sphere normal to a plane at arbitrary electrical potential and double layer thickness”, Journal of Colloid and Interface Science, 248, 383 (2002). 58. Cheng C. T., Lee, Eric, Hsu, J. P., “Electrophoresis of a sphere normal to the plane in a Non-Newtonian fluid”, Journal of Colloid and Interface Science, accepted (2005). 59. Huang Y. F., Lee, Eric, Hsu, J. P., “Electrophoresis of a concentrated dispersion of spherical particles in a non-newtonian fluid”, Langmuir, 20, 2149 (2004). 60. Bart, E., “Slow unsteady settling of a fluid sphere toward a flat fluid interface”, Chemical engineering science, 23, 193 (1968). 61. Wacholder E. and Weihs D., “Slow motion of a fluid sphere in the vicinity of another sphere or a plane boundary”, Chemical engineering science, 27, 1817 (1972). 62. Grashchenkou, S. I., “The effect of slip on the motion of two droplets and of a droplet close to a plane surface of a liquid”, Aerosol Science and Technology, 25, 101 (1996). 63. Keh, H. J., Chen, S. H., “Thermocapillary motion of a fluid droplet normal to a plane surface”, Journal of Colloid and Interface Science, 137, 550 (1990). 64. Kasumi, H, Sides, P. J., Anderson, J. L., “Interactions between two bubbles on a hot or cold wall”, Journal of Colloid and Interface Science, 276, 239 (2004). 65. Finlayson, B. A., “Nonlinear Analysis in Chemical Engineering” , London ; New York : McGraw-Hill International Book Co., c1980. 66. Canuto, C., Hussaini, M. Y., Quarteroni, A. and Zang, T.A., “Spectral Methods in Fluid Dynamics.”, Berlin : Springer-Verlag (1988). 67. Happel, J. and Brenner, H. “Low-Reynolds Number Hydrodynamics.” Martinus Nijhoff. (1983). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38519 | - |
| dc.description.abstract | 本論文探討非導體球形液滴垂直於一不帶電平板的電泳運動現象。在此我們突破過去求解雙球座標單一區間的情形，將原本的計算空間延伸至粒子內部，進一步探討內部流體流動對電泳現象的影響。並且在低表面電位及弱外加電場的假設下，利用正交配位法及牛頓-拉福生疊代法求解系統的非線性電場及流場方程式。
研究結果發現，當液滴內外黏度比愈小，液滴內部的拖曳力越小，其電泳速度隨之增加，反之當內外黏度比越大的時候，其電泳速度越接近硬球膠體粒子的結果。此外，發現平板的邊界效應在電雙層厚度很大或是液滴離平板越靠近的時候相當明顯，尤其液滴太接近平板的時候會因為電雙層的變形而使得電泳速度異號，亦即液滴的電泳運動受邊界影響甚為重要。 | zh_TW |
| dc.description.abstract | The electrophoretic behavior of the spherical, non-conducting liquid drop normal to a plane is investigated in this study. We separate the physical region into two mathematical domains. With the aid of orthogonal collocation method and bipolar coordinates, the present study extends previous analyses in that the flow field inside the spherical particle can not be neglected, and the electric double layer thickness for the particle is arbitrary.
We find that the electrophoretic mobility of the spherical drop is affected by two factors: the viscosity ratio between the fluid inside and outside the liquid drop, and the distance to the solid plane. Without considering the polarization effect, the magnitude of the scaled electrophoretic mobility increases with the decrease of viscosity ratio. This is because the flow inside the drop enhances the hydrodynamic drag on the liquid drop. It is also very interesting that the electrophoresis of the liquid drop will be very similar to the colloid particle if the viscosity ratio is very large. Besides, we find that the closer the particle to the plane, the more significant the distortion of electric double layer. The electrophoretic mobility becomes slow. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T16:36:03Z (GMT). No. of bitstreams: 1 ntu-94-R92524004-1.pdf: 1039072 bytes, checksum: 05600ee3594248e1bb6b968a84bdcd88 (MD5) Previous issue date: 2005 | en |
| dc.description.tableofcontents | 中文摘要 I
英文摘要 II 目錄 III 圖表目錄 V 第一章 緒論 1 第二章 理論分析 10 2-1 系統描述 10 2-2 主控方程式基本介紹 13 2-3 平衡狀態 17 2-4 擾動狀態 20 2-5 系統變數無因次化 27 2-6 無因次化之主控方程式與邊界條件 29 2-7 電泳速度之計算 35 第三章 數值方法 42 3-1 正交配位法 43 3-2 空間映射 50 3-3 兩區聯解問題之處理 55 3-4 牛頓-拉福生疊代法 58 3-5 數值積分 62 3-6 數值畸點之處理 64 第四章 結果與討論 69 4-1 主控方程式的計算結果 76 4-2 內外黏度比對電泳速度之影響 84 4-3 粒子與平板之距離對電泳速度的影響 91 第五章 結論 97 參考文獻 99 符號說明 112 附錄A 雙球座標簡介 114 附錄B 主控方程式之詳細推導 119 附錄C 力積分之詳細推導 123 附錄D 變數變換後之shear stress詳細推導 125 附錄E 變數變換後之shear stress詳細推導 128 附錄F 平板與自由液面之差異 131 圖表目錄 Fig.1 Geometric configuration of the system in this study. 11 Fig.2 Geometric configuration of the bipolar coordinates. 11 Table 1 The values of polar coordinates (y/c, z/c) calculated from bipolar coordinates when . 51 Table 2 The values of polar coordinates (y/c, z/c) calculated from bipolar coordinates when . 52 Fig.3 Combination of two derivative matrices. 57 Fig.4 Newton-Raphson method for one dependent variable. 59 Table 3 Drag force ( ratio) for the fluid sphere with different and . 70 Table 4 Drag force ( ratio) for the fluid sphere with different and . 70 Table 5-1 Drag force ( ratio) for the fluid sphere with and different . 71 Table 5-2 Drag force ( ratio) for the solid plane with and different . 71 Fig. 5 The system mesh for 21x46 grids (a) Total view (b) Zoom-in. 73 Fig. 6 The system mesh for 21x76 grids (a) Total view (b) Zoom-in. 74 Fig. 7 The system mesh for 26x76 grids (a) Total view (b) Zoom-in. 75 Fig. 8 The equirbilium potential (1*)profile for 0=1.0, , and (a) a=0.01 (b)a=7.943. 80 Fig. 9 The stream function profile in problem 2(2*) for the case 0=1.0, , and (a) a=0.01 (b)a=7.943. 81 Fig. 10 The stream function profile in problem 1(1*) for the case 0=1.0, , and (a) a=0.01 (b)a=7.943. 82 Fig. 11 The stream function profile for the case 0=1.0, , and (a) a=0.01 (b)a=7.943 83 Fig. 12 Variation of scaled electrophortic mobility (U*/E*) as a function of inverse double layer thickness (a) at various for the case when the surface potential remains constant and low. Dash line: hard spherical particle. Key =1.0, Pe1=0.01, Pe2=0.01. 87 Fig. 13 (a) Variation of total force in problem 1( ) (b) Variation of total force in problem 2( ) as a function of inverse double layer thickness(a) at various for the case when the surface potential remains constant and low. Key =1.0. 88 Fig. 14 Variation of electric force induced by the charged particle in problem 1(E1) as a function of inverse double layer thickness (a) at various for the case when the surface potential remains constant and low. Key =1.0. 89 Fig. 15 Variation of drag force in problem 2(DF2) as a function of inverse double layer thickness (a) at various for the case when the surface potential remains constant and low. Key =1.0. 89 Fig. 16 Variation of electric force induced by the by the imbalance charge density distribution (Einv) as a function of inverse double layer thickness (a) at various for the case when the surface potential remains constant and low. Key =1.0. 90 Fig. 17 Variation of scaled electrophortic mobility (U*/E*) as a function of inverse double layer thickness (a) at various 0 for the case when the surface potential remains constant and low. Key =1.0, Pe1=0.01, Pe2=0.01. 93 Fig. 18 (a) Variation of total force in problem 1( ) (b) Variation of total force in problem 2( ) as a function of inverse double layer thickness (a) at various 0 for the case when the surface potential remains constant and low. Key =1.0. 94 Fig. 19 (a) Variation of drag force in problem 1(DF1) (b) Variation of electric force induced by the imbalance charge density distribution in problem 1(DFE1) as a function of inverse double layer thickness (a) at various 0 for the case when the surface potential remains constant and low. Key =1.0. 95 Fig. 19 (c) Variation of electric force induced by the charged particle in problem 1 (E1) as a function of inverse double layer thickness (a) at various 0 for the case when the surface potential remains constant and low. Key =1.0. 96 | |
| dc.language.iso | zh-TW | |
| dc.subject | 正交配位法 | zh_TW |
| dc.subject | 液滴 | zh_TW |
| dc.subject | 電泳現象 | zh_TW |
| dc.subject | 雙球座標 | zh_TW |
| dc.subject | 電雙層 | zh_TW |
| dc.subject | normal to a plane | en |
| dc.subject | numerical method | en |
| dc.subject | boundary effect | en |
| dc.subject | liquid drop | en |
| dc.subject | electrophoresis | en |
| dc.title | 球形液滴對平板之電泳現象 | zh_TW |
| dc.title | Electrophoretic Behavior of a Spherical Liquid Drop Normal to a plane | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 93-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 徐治平(Jyh-Ping, Hsu),曾琇瑱(Shio-Jenn, Tseng) | |
| dc.subject.keyword | 液滴,電泳現象,雙球座標,電雙層,正交配位法, | zh_TW |
| dc.subject.keyword | liquid drop,electrophoresis,normal to a plane,boundary effect,numerical method, | en |
| dc.relation.page | 133 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2005-07-07 | |
| 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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