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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 李克強(Eric Lee) | |
| dc.contributor.author | Chien-Chun Tseng | en |
| dc.contributor.author | 曾建鈞 | zh_TW |
| dc.date.accessioned | 2023-03-19T21:13:31Z | - |
| dc.date.copyright | 2022-08-22 | |
| dc.date.issued | 2022 | |
| dc.date.submitted | 2022-08-16 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/83665 | - |
| dc.description.abstract | 利用不均勻電場操控介電質運動的「介電泳」(dielectrophoresis, DEP) 常出現在微流體裝置、實驗室晶片等應用中來操縱等於或小於微米尺度的粒子,在化工分離物質的程序上,因介電質造成的極化程度不同,可以用正或負介電泳來簡易分離物質。 其一介電泳分離手法是應用在過濾系統上,此方法是使用多孔介質作為過濾孔洞介質,施加外加電場後,粒子將被孔洞捕捉。為了掌握此系統的介電泳力來提升在分離實驗上之效率,本論文即是探討球型膠體粒子於多孔介質流體的介電泳現象,而使用之多孔介質流體為Brinkman fluid,針對粒子在不同物理條件下所受極化程度進行模擬,預測介電泳動行為,並計算影響介電泳力的關鍵因子─dipole coefficient??,其所代表的物理意義為粒子在介質中的有效極化程度。 我們將透過電動力學模型來描述電解質溶液中的帶電粒子,粒子會於溶液中與周圍電雙層產生隨頻率改變而形成之電雙層動態平衡。介電泳與傳統常見的電泳最大的不同便是多了頻率這項可調控參數,系統其他電動力學參數亦包括:粒子表面帶電量、介電常數比值等。由於粒子存在於多孔介質,我們以Brinkman方程式描述非均相多孔系統中的流力行為,多孔介質層中的摩擦係數將減緩粒子介電泳動度,阻力過大時會有泳動趨於0的情形,更詳細內容將在結果與討論章節做進一步解釋。 | zh_TW |
| dc.description.abstract | Dielectrophoresis (DEP), which uses an uneven electric field to manipulate the motion of dielectrics, is often used in microfluidic devices, lab-on-a-chip and other applications to manipulate particles on a scale equal to or smaller than microns. One of the dielectrophoretic separation methods is the use of porous media as the pore medium for filtration. In order to find out the dielectrophoretic force of this system to enhance the efficiency of the separation experiment, this thesis is to investigate the dielectrophoretic phenomenon of spherical colloidal particles in a porous medium fluid, using a porous medium fluid called Brinkman fluid. The effective degree of polarization of a particle under different physical conditions is simulated to predict the dielectrophoretic behavior and to calculate the key factor, dipole coefficient, which represents the physical meaning of the effective degree of polarization of a particle in the medium. The electrodynamic model is used to describe the charged particles in an electrolyte solution, where the particles are in dynamic equilibrium with the surrounding electric double layer as the frequency changes. The main difference between dielectrophoresis and conventional electrophoresis is the additional parameter of frequency. Other electrodynamic parameters of the system include: the surface charge of the particles, the ratio of dielectric constants, etc. Since the particles are present in porous media, we describe the flow behavior in a non-homogeneous porous system by the Brinkman equation. The drag coefficient in the porous medium will slow down the dielectrophoretic mobility of particle, and when the drag coefficient is too high, the mobility will tend to 0. More details will be explained in the Results and Discussion section. | en |
| dc.description.provenance | Made available in DSpace on 2023-03-19T21:13:31Z (GMT). No. of bitstreams: 1 U0001-1608202212173500.pdf: 5459980 bytes, checksum: 4ff3df5c9a92c9310b3a39d572626f66 (MD5) Previous issue date: 2022 | en |
| dc.description.tableofcontents | 目錄 致謝 I 摘要 III Abstract IV 目錄 VI 圖目錄 IX 表目錄 XII 第一章 緒論 1 1.1. 研究目的與論文架構 1 1.2. 膠體粒子系統與電雙層 2 1.2.1. 膠體粒子系統簡介 2 1.2.2. 電雙層理論 4 1.3. 粒子於多孔介質之電泳現象 8 1.3.1. 電泳概論 8 1.3.2. 非勻相系統 10 1.3.3. 凝膠電泳 11 1.3.4. 多孔介質文獻回顧 13 1.4. 介電泳概論 16 1.4.1. 介電質與極化現象 17 1.4.2. 介電泳原理 20 1.5. 介電泳應用 26 1.6. 介電泳文獻回顧 33 1.7. 焦耳熱效應文獻回顧 38 第二章 理論分析 40 2.1. 介電泳力與偶極矩 40 2.1.1. 介電泳作用力 40 2.1.2. 有效偶極矩與dipole coefficient 42 2.2. 系統描述 44 2.3. 物理問題分析與基本假設 46 2.4. 電動力學方程組 47 2.4.1. 電位方程式 47 2.4.2. 離子守恆式 47 2.4.3. 流場方程式 49 2.5. 平衡態與擾動態 51 2.5.1. 平衡態 53 2.5.2. 擾動態 53 2.6. 邊界條件 58 2.6.1. 平衡態邊界條件 58 2.6.2. 擾動態邊界條件 59 2.7. 系統變數前處理 62 2.7.1. 無因次分析與平衡電位求解 62 2.7.2. 擾動態變數線性化 64 2.7.3. 擾動態變數一維化 64 2.8. 粒子受力與電泳動度計算 69 2.8.1. 粒子受力計算 69 2.8.2. 振盪電泳速度計算 70 2.8.3. 介電泳速度計算 73 2.9. 偶極矩強度計算 74 第三章 數值方法 75 3.1. 正交配位法 75 3.2. 空間映射 80 3.3. 牛頓(Newton-Raphson)迭代法 81 3.4. 擾動態多變數聯立解 84 第四章 結果與討論 87 4.1. 系統參數設定 87 4.2. 準確性比對 89 4.3. 低頻/高頻區間─電雙層動態平衡 92 4.4. 表面電位之影響 97 4.5. 摩擦力之影響 106 4.6. 介電常數影響 119 第五章 結論 126 參考文獻 128 符號說明 136 附錄 138 A. 有效偶極矩與CM factor關係式推導 138 B. 平均(time-average)介電泳力推導 142 C. 介電泳泳動度(μDEP)推導 144 D. 無窮大系統計算方法 146 E. Complex Permittivity相關推導 149 目錄引用 152 ? | |
| dc.language.iso | zh-TW | |
| dc.subject | 電雙層動態平衡 | zh_TW |
| dc.subject | 介電泳 | zh_TW |
| dc.subject | 介電質 | zh_TW |
| dc.subject | 交流電場 | zh_TW |
| dc.subject | 電動力學 | zh_TW |
| dc.subject | 多孔介質 | zh_TW |
| dc.subject | 有效偶極矩 | zh_TW |
| dc.subject | 介電泳泳動度 | zh_TW |
| dc.subject | 電雙層極化效應 | zh_TW |
| dc.subject | electrokinetics | en |
| dc.subject | porous medium | en |
| dc.subject | dielectrophoresis (DEP) | en |
| dc.subject | dielectric material | en |
| dc.subject | AC electric field | en |
| dc.subject | dynamic equilibrium of electric double layer | en |
| dc.subject | double layer polarization | en |
| dc.subject | DEP mobility | en |
| dc.subject | effective dipole moment | en |
| dc.subject | Brinkman fluid | en |
| dc.title | 球形膠體粒子於多孔流體介質之介電泳現象探討 | zh_TW |
| dc.title | Dielectrophoresis of spherical colloidal particles in porous fluid medium | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 110-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.advisor-orcid | 李克強(0000-0002-6036-9403) | |
| dc.contributor.oralexamcommittee | 朱智瑋(Jhih-Wei Chu),唐于博(Yu-Po Tang),游佳欣(Jiashing Yu),陳賢燁(Hsien-Yeh Chen) | |
| dc.subject.keyword | 介電泳,介電質,交流電場,電動力學,多孔介質,有效偶極矩,介電泳泳動度,電雙層極化效應,電雙層動態平衡, | zh_TW |
| dc.subject.keyword | dielectrophoresis (DEP),dielectric material,AC electric field,electrokinetics,porous medium,Brinkman fluid,effective dipole moment,DEP mobility,double layer polarization,dynamic equilibrium of electric double layer, | en |
| dc.relation.page | 152 | |
| dc.identifier.doi | 10.6342/NTU202202445 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2022-08-17 | |
| 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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