https://scholars.lib.ntu.edu.tw/handle/123456789/61778
DC 欄位 | 值 | 語言 |
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dc.contributor | 李克強 | en |
dc.contributor | 臺灣大學:化學工程學研究所 | zh_TW |
dc.contributor.author | 鄭文立 | zh_TW |
dc.contributor.author | Cheng, Wen-Li | en |
dc.creator | 鄭文立 | zh_TW |
dc.creator | Cheng, Wen-Li | en |
dc.date | 2006 | en |
dc.date.accessioned | 2007-11-26T03:52:38Z | - |
dc.date.accessioned | 2018-06-28T17:01:52Z | - |
dc.date.available | 2007-11-26T03:52:38Z | - |
dc.date.available | 2018-06-28T17:01:52Z | - |
dc.date.issued | 2006 | - |
dc.identifier | zh-TW | en |
dc.identifier.uri | http://ntur.lib.ntu.edu.tw//handle/246246/52220 | - |
dc.description.abstract | 本論文主要是以假性光譜法對軟球粒子垂直於一不帶電平板的電泳現象進行數值模擬。軟球粒子因擁有特殊的物理結構,因此能夠更貼切地描述生物粒子或人造複合粒子,也會造成許多不同於硬球的結果出現。為了適當描述此系統,我們同時使用球座標以及雙球座標進行兩區聯解的運算,並在弱外加電場的假設下,將部分相互耦合的電場、流場及離子濃度場方程式線性化,再利用牛頓-拉福生疊代法求得系統之穩態解。 研究結果發現,當軟球層摩擦係數愈大,其感受到的流體拖曳力愈大,電泳速度隨之下降,反之當摩擦係數愈小時,則其愈接近硬球膠體粒子的結果。而在軟球層中加入固定電荷後,會對平衡系統產生較大的影響,能提供額外的電力使電泳速度上升。此外,發現平板的邊界效應在電雙層厚度很大或是軟球粒子愈靠近的時候相對明顯,在電雙層厚度很小時則無顯著的變化。 | zh_TW |
dc.description.abstract | The electrophoretic behavior of a soft particle normal to a plane is investigated in this study using pseudo-spectral method. Due to its unique physical structure, soft particle system can be used to model some bio-particles or artificial particles appropriately. We treat the problem by separating the physical region into two domains useing spherical coordinates and bispherical coordinates respectively. The coupled hydrodynamic, electrical potential and ion conservation equations or the so-called electrokinetic equations are then linearized assuming the applied electric field is weak. The resulted problem is solved numerically using Newton-Raphson iteration scheme. We find that as the friction coefficient of the soft particle increases, the drag force increases as a result, thus the electrophoretic motion becomes slow. If the friction coefficient is very small, the result will be very similar to the typical colloid particle. When we introduce the fix charge density, the equilibrium state is affected greatly and generate extra electric force which enhance the electrophoretic motion. Moreover, we find that the boundary effect is more significant when the thickness of electric double layer is large or the soft particle is closer to the plane. | 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 序論 1 第二章 理論分析 9 2-1 系統描述 9 2-2 主控方程式 11 2-3 平衡狀態 14 2-4 擾動狀態 16 2-5 系統變數之無因次化 22 2-6 無因次化之主控方程式與其邊界條件 23 2-7 電泳動度之計算 29 第三章 數值方法 31 3-1 正交配化法 32 3-2 空間映射 38 3-3 兩區聯解之處理 41 3-4 牛頓-拉福生疊代法 43 3-5 數值積分 46 3-6 數值畸點之處理 48 第四章 結果與討論 53 4-1 主控方程式之計算結果 56 4-2 電雙層厚度的影響 69 4-3 軟球層摩擦係數的影響 71 4-4 軟球粒子與平板距離之影響 74 4-5 軟球層帶固定電荷的影響 77 第五章 結論 81 參考文獻 83 符號表 87 附錄A 座標系統簡介 91 附錄B 主控方程式之詳細推導 99 附錄C 微分式之座標轉換 103 附錄D 力積分之推導 106 附錄E 微分運算子詳細表示式 110 | zh_TW |
dc.format.extent | 906654 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language | zh-TW | en |
dc.language.iso | en_US | - |
dc.subject | 電泳現象 | en |
dc.subject | 軟球 | en |
dc.subject | 雙球座標 | en |
dc.subject | 電雙層 | en |
dc.subject | 邊界效應 | en |
dc.subject | electrophoretic behavior | en |
dc.subject | soft particle | en |
dc.subject | bispherical coordinates | en |
dc.subject | electric double layer | en |
dc.subject | boundary effect | en |
dc.title | 軟球粒子垂直於平板之電泳現象 | zh |
dc.title | Electrophoretic Behavior of a Soft Particle Normal to a Plane | en |
dc.type | thesis | en |
dc.identifier.uri.fulltext | http://ntur.lib.ntu.edu.tw/bitstream/246246/52220/1/ntu-95-R93524048-1.pdf | - |
dc.relation.reference | 1. Hunter, R.J., “Foundations of Colloid Science.”, Vols. I and II, Clarendon Press, Oxford, (1989). 2. Masliyah, J. H., “Electrokinetic Transport Phenomena” , Edmonton, Alta. : Alberta Oil Sands Technology and Research Authority, (1994). 3. Hunter, R. J., “Zeta Potential in Colloid Science : principles and applications”, London ; New York : Academic Press, (1981). 4. Van de Ven, Theo G. M., “Colloidal Hydrodynamics”, London ; San Diego : Academic Press, (1989). 5. Dukhin, S.S., and Derjaguin, B.V., “Surface and Colloid Science.” Vol.7, Wiley, New York, (1974). 6. Russel, W. B., “The Dynamic of Colloidal Systems.”, Madison, Wis. : University of Wisconsin Press, (1987). 7. Von Smoluchowski, M., Z. Phys. Chem., 92, 129 (1918). 8. Huckel, E., Phys. Z. 25, 204 (1924). 9. Henry, D.C., Proc. R. Soc. London Ser. A 133, 106 (1931). 10. Overbeek, J. Th. G., Adv. Colloid Sci. 3, 97 (1950). 11. Booth, F., Proc. R. Soc. London Ser. A 203 514 (1950). 12. Wiersema, P.H., Loeb, A.L., and Overbeek, J.Th.G., J. Coll. Interface Sci., 22, 78 (1966) 13. O’Brien, R.W., and White, L.R., J. Chem. Soc. Faraday II., 74, 1607(1978). 14. O’Brien, R.W., and Hunter, R.J., Can. J. Chem. 59, 1878 (1981). 15. Ohshima, H., Healy, T.W., and White, L.R., J. Chem. Soc. Faraday Trans. 2 79, 1613 (1983). 16. Ohshima, H., Adv. Colloid Interface Sci. 62, 189 (1995). 17. Donath,E., and Pastushenko, V., Bioelectrochem. Bioenerg. 6,543 (1979). 18. Wunderlich, R. W., J. Colloid Interface Sci. 88, 385 (1982). 19. Levine, S., Levine, M., Sharp, K. A., and Brooks, D. E., Biophys. J. 42, 127 (1983). 20. Sharp, K. A., and Brooks, D. E., Biophys. J. 47, 563 (1985). 21. Seaman, G. V. F., in ”The Red Blood Cells”(D. MacN. Sergenor, Ed.), Vol. 2, pp. 1136-1229. Academic Press, New York, (1975). 22. Ohshima, H., J. Colloid Interface Sci. 163, 474 (1994). 23. Ohshima, H., J. Colloid Interface Sci. 228, 190 (2000). 24. Saville, D. A., J. Colloid Interface Sci. 222, 137 (2000). 25. Saville, D. A., J. Colloid Interface Sci. 258, 56 (2003). 26. Morrison, F.A. and Stukel, J.J., J. Colloid Interface Sci. 33, 88 (1970). 27. Keh, H.J. and Lien, L.C., J. Chin. Inst. Chem. Engrs. 20, 283 (1989). 28. Keh, H.J. and Anderson, J.L., J. Fluid Mech. 153, 417 (1985). 29. Ennis, J. and Anderson, J.L., J. Colloid Interface Sci. 185, 497 (1997). 30. Shugai, A.A. and Carnie, S.L., J. Colloid Interface Sci. 213, 298 (1999). 31. Teubner, M., J. Chem. Phys. 76, 11 (1982). 32. Tang, Y.P, Chih, M.H., Lee, E., Hsu, J.P., J. Colloid Interface Sci. 242, 121 (2001). 33. Chih, M.H., Lee, E., Hsu, J.P., J. Colloid Interface Sci. 248, 383 (2002). 34. Chen, C.T., Lee, E., Hsu, J.P., J. Colloid Interface Sci. 285, 857 (2005). 35. Huang, Y.F., Lee, E., Hsu, J.P., Langmuir 20, 2149 (2000). 36. Lou, S.H., Lee, E., Hsu, J.P., Chem. Eng. Sci. ,accepted (2006). 37. Canuto, C., Hussaini, M. Y., Quarteroni, A. and Zang, T.A., “Spectral Methods in Fluid Dynamics.”, Berlin : Springer-Verlag (1988). 38. Happel, J., Brenner, H., “Low-Reynolds Number Hydrodynamics.” Martinus Nijhoff. (1983). | en |
item.openairetype | thesis | - |
item.fulltext | with fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en_US | - |
item.cerifentitytype | Publications | - |
顯示於: | 化學工程學系 |
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ntu-95-R93524048-1.pdf | 23.53 kB | Adobe PDF | 檢視/開啟 |
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