臺灣博碩士論文加值系統

分析熱力學第二定律對於優化各種熱傳設備具有重大的意義，因此，本論文的重點在於研究平行板微流道內非牛頓流體的熵產生，並在分析時考慮流體流動所引起的黏性耗散效應，以提高模擬流道內流動之真實性。本文主要探討微流道中冪律流體在滑移邊界條件下的熱傳與熵生成現象，影響熵生成的主要無因次化參數包含匹列數(Pe)與無因次化壁面溫度()，而熵產生分析的重要結果可以用因熱傳遞所產生的熵與系統的總熵產生之比值，即所謂的比贊數(Be)來表示。結果顯示增加匹列數與降低滑移長度(β)，具有顯著減少熵生成的效果；增加無因次壓力梯度(Γ)與無因次化壁面溫度皆能有效減少熵生成；流體行為指數(n)及黏性耗散與焦耳熱之比值(Sv)對於熵生成之影響則皆取決於流道壁面是為加熱或是冷卻之狀況而定。當無因次化焦耳熱參數(S)為負值時，求解時容易產生奇異點；當無因次焦耳熱參數為正時，則可求得問題的穩定解。另外，減小黏性耗散與焦耳熱之比值，紐爾賽數(Nu)有降低的趨勢。

The second law analysis is important to optimize efficiency of various heat transfer devices. This work focuses on the entropy generation in non-Newtonian fluid flow through a parallel-plate microchannel. The viscosity dissipation caused by fluid flow is considered in the analysis for increasing authenticity of the simulation in the microchannel flow. This paper mainly deals with heat transfer and entropy generation of power-law fluid flow in a microchannel with slip boundary conditions. Major parameters governing entropy generation include the Peclet number (Pe) and the Bejan number (Be). The results show that increasing the Peclet number and decreasing the dimensionless slip length (β) have a significant effect on reducing the generation of entropy. Increasing the dimensionless pressure gradient (Γ) and dimensionless wall temperature () could reduce entropy generation. The influence of fluid behavior index (n) and ratio of viscosity dissipation to Joule heat (Sv) on the entropy generation depends on the heating or cooling conditions in the microchannel. Singular points were found when the dimensionless Joule heating parameter (S) is negative. Therefore, the solution is more stable when the dimensionless Joule heating parameter is positive. It tends to reduce the Nusselt number (Nu) when the ratio of viscous dissipation to Joule heating decreases.

摘要......i
Abstract......ii
誌謝......v
目錄......vi
圖目錄......ix
符號說明......xi
第一章 緒論......1
1.1 前言......1
1.2 研究動機與背景......1
1.2.1 微流道中電滲流與雙電層之形成與效應......1
1.3 文獻回顧......2
1.4 論文架構......3
第二章 理論分析......4
2.1 物理模型......4
2.2 基本假設......4
2.3 統御方程式與邊界條件......4
2.3.1 波松-波茲曼方程式（Poisson-Boltzmann equation）......4
2.3.2 柯西動量方程式（Cauchy momentum equation）......5
2.3.3 能量方程式（Energy equation）......5
2.3.4 熵產生方程式(Entropy generation equation)......6
第三章 分析方法......7
3.1 電位場......7
3.2 速度場......7
3.3 溫度場......8
3.4 熵產生......9
第四章 結果與討論......11
4.1各參數對總熵生成之影響......11
4.1.1 流動行為指數對總熵生成之效應‒壁面加熱情況......11
4.1.2 流動行為指數對總熵生成之效應‒壁面冷卻情況......11
4.1.3 匹列數對總熵生成之效應‒壁面加熱情況......12
4.1.4 匹列數對總熵生成之效應‒壁面冷卻情況......12
4.2 各參數對紐賽爾數之影響......13
4.2.1黏性耗散對紐賽爾數之效應‒壁面加熱情況......13
4.2.2黏性耗散對紐爾賽數之效應‒壁面冷卻情況......13
4.3 各參數對比贊數之影響......13
4.3.1 匹列數對比贊數之影響......13
4.3.2壓力梯度對比贊數之影響......14
4.3.3流道半徑與德拜長度之比值對比贊數之影響......14
第五章 結論與未來展望......15
5.1 結論......15
5.1.1 總熵生成......15
5.1.2紐賽爾數......15
5.1.3 比贊數......16
5.2 未來展望......16
參考文獻......17
附錄......21
EXTENDED ABSTRACT......39
ABSTRACT......39

[1] Chen, Chien-Hsin, 2011, “Electro-Osmotic Heat Transfer of Non-Newtonian Fluid Flow in Microchannels”, Journal of Heat Transfer-Transactions of The ASME, 133,071705
[2]Tuckerman,D.B.,Pease,R.F.W.,1981, “High-performance heat sinking for VLSI”,IEEE Electronic Device Letters, 2,126-129
[3] D.H. Richardson, D.P. Sekulic, A. Campo,2000, “ Low Reynolds number flow inside straight micro channels with irregular cross sections”, Heat Mass Transfer,36,187–193.
[4] N.K. Ranjit, G.C. Shit, 2017, “Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment”, Energy ,128,649–660.
[5] Sadeghi A, Saidi MH., 2010, “Viscous dissipation effects on thermal transport characteristics of combined pressure and electroosmotically driven flow in Microchannels”, ASME J. Heat Transf. ,53,3782-3791
[6] A. Bejan, 1979, “A study of entropy generation in fundamental convective heat transfer”, ASME J. Heat Transf. ,101,718-725.
[7] Erbay LB, et al., 2007,Entropy generation in parallel plate microchannels,Heat And Mass Transfer,43,729-739
[8] Hung, Y. M., 2008, “Viscous Dissipation Effect on Entropy Generation for Non-Newtonian Fluids in Microchannels,” Int. Commun.Heat Mass Transfer,35, 1125–1129.
[9] Maynes, D., Webb, B.W., 2003, “Fully Developed Electro-Osmotic Heat Transfer in Microchannels”, Int. J. Heat Mass Transfer, 46, 1359-1369.
[10]Hooman,K,2008, “Heat transfer and entropy generation for forced convection through a microduct of rectangular cross-section: Effects of velocity slip, temperature jump, and duct geometry”, Int. J. Heat Mass Transfer, 35,1065-1068
[11] Zhao L, Liu LH.,2010,“Entropy generation analysis of electro-osmotic flow in openend and closed-end micro-channels”. Int J Therm Sci , 49,418-427.
[12]Masliyah,JH,Bhattacharjee,S.,2006,Electrokinetic and colloid transport phenomena. Canadian J. of Chemical Engineering,84,10-16
[13] Erbay LB, Yalcin MM, Ercan MS.,2007, “Entropy generation in parallel plate microchannels”.Heat Mass Transfer,13,729-739
[14] P.K. Singh, K.B. Anoop, T. Sundararajan, S.K. Das,2010, “Entropy generation due to flow and heat transfer in nanofluids”,Int. J. Heat Mass Transfer,53,4757–4767.
[15] W.H. Mah, Y.M. Hung, N. Guo,2012, “Entropy generation of viscous dissipative flow in microchannels”, Int. J. Heat Mass Transfer ,55,4169–4182.
[16] A.M. Elahary, H.M. Soliman,2009, “Analytical solutions of fluid flow and heat transfer in parallel-plate micro-channels at high zeta-potentials”, Int. J. Heat Mass Transfer ,52 ,4449–4458.
[17] Das, S. ,Chakraborty, S. ,2006, “Analytical Solutions for Velocity,Temperature and Concentration Distrubution in Electroosmotic Microchannel Flows of a Non-Newtonian Bio-Fluid”,Analytica Chimica ACTA,559,15-24
[18] Sadeghi A, Yavari H, Saidi MH, Chakraborty S., 2011,“Mixed electroosmotically and pressure-driven flow with temperature-dependent properties”. J Thermophys Heat Transfer ,25,432-442.
[19] R. Ellahi, S.Z. Alamri, A. Basit, A. Majeed, 2018, “Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation”,J. Taibah Univ. Sci.,12,476–482.
[20] N.K. Ranjit, G.C. Shit, 2017, “Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment”, Heat Mass Transfer,128,649–660.
[21] A.Z. Sahin,1998, “Second law analysis of laminar viscous flow through a duct subjected to constant wall temperature”,J. Heat Transfer,120,76–83.
[22] D.H. Richardson, D.P. Sekulic, A. Campo, “ Low Reynolds number flow inside straight micro channels with irregular cross sections”, Heat Mass Transfer,36,2000,187–193.
[23] S. Mahmud, R.A. Fraser,2003, “The second law analysis in fundamental convectiveheat transfer problems”, Int. J. Therm. Sci.,42,177–186.
[24] T.A. Jankowski,2009, “Minimizing entropy generation in internal flows by adjusting the shape of the cross-section”, Int. J. Heat Mass Transfer ,52,3439–3445.
[25] Arman Sadeghi,Mohammad Hassan Saidi ,2010, “Viscous dissipation effects on thermal transport characteristics of combined pressure and electroosmotically driven flow in microchannels”, Int. J. Heat Mass Trans,53,3782–2791.
[26] R. Chakraborty, R. Dey, S. Chakraborty,2013, “Thermal characteristics of electromagnetohydrodynamic flows in narrow channels with viscous dissipation and joule heating under constant wall heat flux”, Int. J. Heat Mass Trans,67,1151–1162.
[27] J. Escandon, O. Bautista, F. Mendez,2013, “Entropy generation in purely electroosmotic flows of non-Newtonian fluids in a microchannel”, Int. J. Heat Mass Trans,55,486–496.
[28] R. Jhorar, D. Tripathi, M.M. Bhatti, R. Ellahi,2018, “ Electroosmosis modulated biomechanical transport through asymmetric microfluidics channel”, Indian J. Phys.,92,1229–1238.
[29] Y. Jian,2015, “Transient MHD heat transfer and entropy generation in a microparallel channel combined with pressure and electroosmotic effects”, Int. J.Heat Mass Transfer,89,193–205.
[30] P. Goswami, P.K. Mondal, A. Datta, S. Chakraborty,2016, “Entropy generation minimization in an electroosmotic flow of non-Newtonian fluid: Effect of conjugate heat transfer”, J. Heat Transfer,138,051704.
[31] R. Ellahi, S.Z. Alamri, A. Basit, A. Majeed, 2018, “Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation”, J. Taibah Univ. Sci.,12,476–482.
[32] E.B. Ratts, A.G. Raut, 2004, “Entropy generation minimization of fully developed internal flow with constant heat flux”, J. Heat Transfer,126,656–659.
[33] C. Balaji, M. Holling, H. Herwig, 2007, “Entropy generation minimization in turbulent mixed convection flows”, Int. Commun. Heat Mass Transfer,34,544–552.
[34] Zhao C, Zholkovskij E, Masliyah JH, Yang C.,2008, “Analysis of electroosmotic flow of power-law fluids in a slit microchannel”. J Colloid Interface Sci ,10,326-336