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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 許文翰(Wen-HanSheu) | |
| dc.contributor.author | Ting -Sheng Lin | en |
| dc.contributor.author | 林鼎盛 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:59:10Z | - |
| dc.date.available | 2010-07-30 | |
| dc.date.copyright | 2010-07-30 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-07-29 | |
| dc.identifier.citation | A. Castellanos (eds.), Electrohydrodynamic,
New York : Springer, 1998. P. A. Vazquez, G. E. Georghiou, A. Castellanos, Numerical analysis of the stability of the electrohydrodynamic (EHD) electroconvection between two plates, J. Phy. D:Appl. Phys. 41, 175303, 2008. P. A. Vazquez, G. E. Georghiou, A. Castellanos, Characterization of injection instabilities in electrohydrodynamics by numerical modelling: comparison of particle in cell and flux corrected transport methods for electroconvection between two plates, J. Phy. D:Appl. Phys. 39, 2754, 2006. A. Castellanos, P. Atten, Numerical modeling of Finite Amplitude Convection of Liquids Subjected to Unipolar Injection, IEEE Trans. Ind. Appl. Vol. 5, IA-23, 1987 A. T. P'erez and A. Castellanos, Role of charge diffusion in finite-amplitude electroconvection, Phys. Rev. A. Vol. 40,1989 A. Castellanos, A. T. Perez, P. Atten, Charge Diffusion Versus Coulomb Repulsion In Finite Amplitude Electroconvection, IEEE Trans. 1989 A. T. Perez, A. Castellanos, Laminar chaotic transport of charge in finite-amplitude electroconvection, it Phys. Rev. A. Vol. 44,1991 A. Castellanos, Coulom-driven Convection in Electrohydrodynamics, it IEEE Trans. Vol. 26,1991 P. Atten, Electrohydrodynamic Instability and Motion Induced by Injected Space Charge in Insulating Liquids, IEEE Trans. Ind. Appl. Vol. 3, 1996 R. Chicon, A. Castellanos, E. Martin, Numerical modeling of Coulomb-driven convection in insulating liquids, it J. Fluid. Mech. Vol. 344, 43-66, 1997 Hao Lin, Brian D.Storey, Michel H. Oddy, Instability of electrokinetic microchannel flows with conductivity gradients, it Phys. Fluids 16, 1922-1935, 2004 Brian D.Storey, Direct numerical simulation of electrohydrodynamic flow instabilities in microchannels, it Physica. D 211, 151-167, 2005 Amir Shoushtari, Experimental and Computational analysis of an electrohydrodynamic mesopump for spot cooling applications, 2004 Vytenis Benetis, Experimental and Computational investgation of planar ion drag micropump geometrial design parameters, 2005 Khrapak A. G., Schmidt W. F., Mobility of simple ions in non-polar dielectric liquids Zhakin, A. I., Theoretical investigation of complex ion formation in liquid dielectrics. International Conference on Dielectric Liquids (ICDL) 14th, Piscataway, NJ, USA. 2002 S. V. Ptankar, Numerical Heat Transfer and Fuild Flow, Hemisphere, New York, 1980. Tony W. H. Sheu and R. K. Lin, An incompressible Navier-Stokes model implemented on non-staggered grids, Numer. Heat Transf., B Fundam. 44(3), 277-294, 2003. Tony W. H. Sheu and P. H. Chiu, A divergence-free-condition compensated method for incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering. 196, 4479-4494, 2007. B. P. leonard, The ULTIMATE conservative difference scheme, Comput. Methods Appl. Mech. Engrg. 88, 17-74, 1991. U. Ghia, K. N. Ghia, High Re Solutions for imcompressible Flow Using the Navier-Stokes Equation and a Multigrid Method, J. Comp. Physics, Vol.} 48, 387-411, 1982 Seyed-Yagoobi, J. E. Bryan, J.A. Castaneda, Theoretical Analysis of Ion-Drag Pumping, IEEE Trans. Ind. Appl. 31 469-476, 1995 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46232 | - |
| dc.description.abstract | 本論文是利用對流-擴散-反應的數值方法模擬于二維電液動非線性動力系統內的分岔行為。此一包含了受空間電荷密度影響的外加電場之Poisson方程式、由庫倫力所驅動的不可壓縮Navier-Stokes方程、以及可描述流場中帶電離子分佈的電荷守恆方程式。
本研究係在兩電極板中間以單極注入之方式造成非線性動力行為的分岔，它包括了對稱性分岔、倍頻率分岔、週期分岔、及最後所發展至渾沌狀態。吾人將利用模擬之結果說明其各個現象所代表的物理意義;並透過數值分析來了解電液動的分岔行為。 | zh_TW |
| dc.description.abstract | This study is aimed to simulate the bifurcation behavior occurring in a two-dimensional electrical hydrodynamic nonlinear dynamical system by using the convection-diffusion-reaction (CDR) numerical method. This nonlinear system includes the Poisson equation for the external electric field that is subject to the space charge density, incompressible Navier-Stokes equations driven by the Coulomb force, continuity equation, and the charge conservation equation which describes ions distribution in the hydrodynamic field.
The dynamics in the investigated nonlinear system include the pitchfork-bifurcation, frequency-doubling, Hopf-bifurcation, and the chaotic dynamics. The simulation results are presented for the case of unipolar injection between two plane electrodes. Finally, we will use the numerical analysis to understand bifurcation behavior in the electrohydrodynamic. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:59:10Z (GMT). No. of bitstreams: 1 ntu-99-R97525042-1.pdf: 36157746 bytes, checksum: d0124c0b82cbd182961a0753a32fa37f (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 目錄
誌謝 2 摘要 i Abstract ii 第一章 序論 2 1.1 前言...............................................2 1.2 研究動機...........................................3 1.3 文獻回顧...........................................4 1.4 論文大綱...........................................5 第二章 EHD理論背景........................................6 2.1 待探討問題之描述...................................6 2.2 電泳(Electroph0resis)現象..........................6 2.3 離子注入(Ion injection)............................8 2.4 極性與非極性流體(Polar and Non-Polar liquids).....10 2.5 離子移動率(Ion mobility)..........................11 2.6 電荷衰減(Charge decay)............................13 2.6.1 歐姆導體......................................13 2.6.2 單極注入......................................14 第三章 物理模型 15 3.1 基本假設..........................................15 3.2 統御方程式........................................16 3.2.1 電方程式......................................16 3.2.2 不可壓縮黏性流之方程式........................18 3.2.3 EHD方程式.....................................19 3.3 二維無因次化Electrohydrodynamics方程組............19 第四章 數值方法 4.1 有限差分法 4.1.1 時間離散之格式 4.1.2 二維CDR純量方程之離散格式 4.1.3 無散度補償方法之推導 4.1.4 壓力之離散格式 4.1.5 最小頻散誤差 4.1.6 限制通量之作法 4.2 計算程序 第五章 程式驗證 35 5.1 流體方程組之驗證..................................35 5.1.1 二維Navier-Stokes之問題.......................35 5.1.2 方腔拉穴流問題................................36 5.2 電方程組之驗證....................................38 5.2.1 具解析解電方程問題之驗證......................38 5.2.2 DC微泵浦之模型................................39 5.3 EHD方程組解之驗證.................................40 5.3.1 電、流耦合之非線性動力系統....................40 5.3.2 單極注入之模型................................42 5.4 數值驗證之結果....................................44 第六章 于非線性EHD系統內解之分岔行為 53 6.1 問題之描述........................................53 6.1.1 控制方程式與參數設定..........................54 6.1.2 計算模型初始與邊界條件........................54 6.2 分岔現象之分析....................................57 6.2.1 對稱-非對稱分岔行為之分析.....................57 6.2.2 非對稱-對稱分岔行為之分析.....................59 6.2.3 穩態-週期分岔行為之分析.......................60 6.2.4 倍頻分岔行為之分析............................61 6.2.5 週期-渾沌分岔行為之分析.......................63 6.3 研究成果與討論....................................64 6.4 數值模擬之結果....................................65 第七章 未來工作與展望 87 附錄A 時間尺度之選擇 88 A.1 Electrohydrodynamic(EHD)..........................88 A.2 Electrokinetics(EK)...............................89 A.2.1 控制方程式....................................90 A.2.2 無因次化控制方程式............................90 A.3 結論..............................................91 附錄B 分解注入之型式 92 B.1 基本假設..........................................92 B.2 控制方程式........................................93 附錄C 稀薄注入 95 C.1 稀薄注入情況下的Hamiltonian守恆性質...............95 C.2 結論..............................................99 參考文獻................................................ 100 | |
| dc.language.iso | zh-TW | |
| dc.subject | 電液動 | zh_TW |
| dc.subject | 渾沌 | zh_TW |
| dc.subject | 倍頻率分岔 | zh_TW |
| dc.subject | 對稱分岔 | zh_TW |
| dc.subject | 對流-擴散-反應 | zh_TW |
| dc.subject | bifurcation | en |
| dc.subject | symmetry | en |
| dc.subject | Electrohydrodynamic | en |
| dc.subject | periodic | en |
| dc.subject | chaos | en |
| dc.subject | convection-diffusion-reaction | en |
| dc.title | 在非線性EHD動力系統內的分岔研究 | zh_TW |
| dc.title | Bifurcation studies in a electrical hydrodynamic nonlinear dynamical system | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 李佳翰(Jia-HanLi),黃維信(Wei-Shin Wang),蔣德普(Te-Pu Chiang) | |
| dc.subject.keyword | 電液動,對流-擴散-反應,對稱分岔,倍頻率分岔,渾沌, | zh_TW |
| dc.subject.keyword | Electrohydrodynamic,convection-diffusion-reaction,bifurcation,symmetry,periodic,chaos, | en |
| dc.relation.page | 102 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-07-29 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 工程科學及海洋工程學研究所 | zh_TW |
| 顯示於系所單位： | 工程科學及海洋工程學系 | |
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