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研究生:潘文安
研究生(外文):Steven A. Painter
論文名稱:變物性電滲流分析
論文名稱(外文):Analysis of Electroosmotic Flow with Variable Properties
指導教授:宋齊有
指導教授(外文):Chyi-Yeou Soong
學位類別:碩士
校院名稱:逢甲大學
系所名稱:航太與系統工程所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
畢業學年度:95
語文別:英文
論文頁數:60
中文關鍵詞:變物性流非等溫流微流道流電滲流
外文關鍵詞:Variable property flowMicrochannel flowElectroosmotic flowNon-isothermal flow
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本研究旨在分析一外加電場作用之微流道內之變物性電滲流。工作流體為NaCl或類似之簡單電解質溶液,其物理性質如熱傳導係數、介電係數與黏性係數均考慮為局不溫度之函數。研究中首先將流動控制方程組無因次化,繼之施以量階分析,簡化方程組以利微流道內之電滲流無因次溫度、電位、速度等分布之近似分析。研究結果顯示在本研究考慮之參數範圍內,非均溫條件所造成之變物性項應對溫度分布有明顯的影響,並進而影響電位與速度解。此外,外加電場所產生之焦耳加熱效應在焦耳數足夠高時會明顯。
The objective of this study is to analyze variable-property electroosmotic flow in a microchannel with an externally applied electric field. The working fluid is an aqueous solution of NaCl or similar simple electrolyte, and its physical properties such as thermal conductivity, permittivity and viscosity are considered as functions of local temperature. The governing equations of the system are subjected to an order of magnitude analysis and the system is simplified to facilitate the approximate analysis of temperature, electric potential and velocity distributions of electroosmotic flow in the microchannel. The results reveal that, in the parameter ranges considered, variations in the properties stemming from the non-isothermal condition have noticeable influences on the temperature distribution and in turn the electric and velocity distributions. In addition, the Joule heating effect produced by the externally applied electric field can be significant with a Joule number high enough.
Acknowledgements…………………………………………..…….ii Abstract…………………………………………………….... …iii Contents………………………………………………...……..…iv List of Figures…………………………………………..………v Nomenclature…………………………………………………….…vi
Chapter 1: Introduction…………………………………………………….….1
Chapter 2: Theoretical Models…………………………….....2
2.1 Governing Equations of Electroosmotic Flow.2
2.2 Non-Dimensionalization of the Governing
Equations…….. .4
2.3 Dimensionless Groups…………………………...6
Chapter 3: Reducing the Electroosmotic Flow Model……….8
3.1 Order of Magnitude Analysis……………………8
3.2 Reduced Model at the Unsteady State……… .9
3.3 Reduced Model of Steady Electroosmotic Flow 11
Chapter 4: Approximate Solutions of the Variable-Property
Electroosmotic Flows 13
4.1 Formulas for Evaluation of Variable
Properties. 13
4.2 Approximate Solution of Temperature
Distribution…… 14
4.3 Approximate Solution of Electric Potential
Distribution………………. 14
4.4 Approximate Solution of Velocity
Distribution 15
Chapter 5: Parametric Analysis and Discussion…………… 16
5.1 Varying the Characteristic Temperature
Difference, B………. 16
5.2 Varying the Joule Number, J……………………19
5.3 Varying the Electrokinetic Separation
Distance, K.…………………… 21
Chapter 6: Concluding Remarks………………………………… 22
Appendix. ……….……….……………………………………… 24
A. Solution of the Non-Dimensionalized
Temperature, Θ……………. 24
B. Solution of the Non-Dimensionalized Electric
Potential, ψ*………. 28
C. Solution of the Non-Dimensionalized Velocity,
u* 34
References……………………………………………… ……… 53
1. X.Y. Chen, K.C. Toh, J.C. Chai, C. Yang, Developing pressure-driven liquid flow in microchannels under the electrokinetic effect, Int. J. Eng. Sci.Vol. 42,March 2004, 609 - 622
2. C.Yang, D. Li, Analysis of electrokinetic effects on the liquid flow in rectangular microchannels, Colloids and Surfaces A: Physiochemical and Engineering Aspects, 143, 1998, 339 - 353
3. C.Y. Soong, S.H. Wang, Theoretical analysis of electrokinetic flow and heat transfer in a microchannel under asymmetric boundary conditions, J. Colloid Interface Sci. 265, 2003, 202 - 213
4. M.S. Chun, H.W. Kwak, Electrokinetic flow and electroviscous effect in a charged slit-like microfluidic channel with nonlinear Poisson-Boltzmann field, Korea-Australia Rheology Journal,Vol. 15 No. 2, June 2003, 83 - 90
5. N.J. Petersen, R.P.H. Nikolajsen, K.B. Morgensen, J.P.Kutter, Effect of Joule heating on efficiency and performance for microchip-based and capillary-based electrophoretic separation system: A closer look, Electrophoresis, 2004, 25, 253 - 269
6. G.Y. Tang, C. Yang, J.C. Chai, H.Q. Gong, Joule heating effect on electroosmotic flow and mass species transport in a microcapillary, Int. J. Heat Mass Transfer 47, 2004, 215 - 227
7. P.W. Hwang, C.Y. Soong, Investigation of variable-property microchannel flows with electro-thermo-hydrodynamic interactions at constant pressure gradient or constant flow rate, Int. J. Heat Mass Transfer, 2007, doi:10.1016/j.ijheatmasstransfer.2007.04.010 (Article in Press)
8. K. Horiuchi, P. Dutta, Joule heating effects in electroosmotically driven microchannel flow, Int. J. Heat Mass Transfer, 47, 2004, 3085 - 3095
9. X. Xuan, D. Sinton, D. Li, Thermal end effects on electroosmotic flow in a capillary, Int. J. Heat Mass Transfer, 47, 2004, 3145 - 3157
10. C.Y. Soong, S.H. Wang, Analysis of rotation-driven electrokinetic flow in microscale gap regions of rotating disk systems, J. Colloid Interface Sci. 269, 2003, 484 - 498
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