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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳發林 (Falin Chen) | |
| dc.contributor.author | Lan-Ni Hung | en |
| dc.contributor.author | 洪藍擬 | zh_TW |
| dc.date.accessioned | 2022-11-23T09:31:06Z | - |
| dc.date.available | 2021-07-08 | |
| dc.date.available | 2022-11-23T09:31:06Z | - |
| dc.date.copyright | 2021-07-08 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-06-22 | |
| dc.identifier.citation | 1. Turner, J. S., 1979: Buoyancy Effects in Fluids. Cambridge University Press. 2. Jevons, W. S., 1857. On the cirrous form of cloud. London, Edinburgh, and Dublin Philos. Mag. J. Sci., 4th Series, 14, 22–35. 3. Radko, Timour. 2013. Double-Diffusive Convection. Cambridge University 4. Rayleigh, Lord, 1883: Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. London Math. Soc., 14, 170–177. 5. Stommel, H., A. B. Arons, and D. Blanchard, 1956: An oceanographic curiosity: the perpetual salt fountain. Deep-Sea Res., 3, 152–153. 6. Stern, M. E., 1960: The “salt-fountain” and thermohaline convection. Tellus, 12,172–175. 7. Huppert, H. E., and J. S. Turner, 1981: Double-diffusive convection. J. Fluid Mech., 106, 299–329. 8. Turner, J. S., 1985: Multicomponent convection. Annu. Rev. Fluid Mech., 17, 11–44. 9. Thorpe, S., Hutt, P., Soulsby, R. 1969. The effect of horizontal gradients on thermohaline convection. J. Fluid Mech., 38(2), 375-400 10. G. De Vahl., R. W. Thomas. 1969. Natural Convection between Concentric Vertical Cylinders. The Physics of Fluids., 12, II-198 11. Wirtz, R. A., Briggs, D. G. Chen, C. F. 1972 Physical and numerical experiments on layered convection in a density-stratified fluid. Geophys. Fluid Dyn., 3, 265–288 12. Huppert, H.E., and Tuner, J.S., 1980 : Ice blocks melting into a salinity gradient. J. Fluid Mech., 100, 367-384. 13. Choi, I. G. , Korpela, S. A. 1980. STABILITY OF THE CONDUCTION REGIME OF NATURAL-CONVECTION IN A TALL VERTICAL ANNULUS. J. Fluid Mech., 99, 725-738 14. J.W. Lee, J.M. Hyun 1991 Double-diffusive convection in a cavity under a vertical solutal gradient and a horizontal temperature gradient. Intl J. Heat Mass Transfer, 34, 2423-2427. 15. Katsuyoshi Kamakura, Hiroyuki Ozoe, 1993 Experimental and numerical analyses of double diffusive natural convection heated and cooled from opposing vertical walls with an initial condition of a vertically linear concentration gradient. Intl J. Heat Mass Transfer, 36, Issue 8, 2125-2134 16. Chen, C.F., Chen, F. 1997 Salt-finger convection generated by lateral heating of a solute gradient. J. Fluid Mech., 352, 161-176 17. J. Lee, S.H. Kang, Y.S. Son, 1999 Experimental study of double-diffusive convection in a rotating annulus with lateral heating. International Journal of Heat and Mass Transfer, 42, 821-832. 18. Chan, C.L., Chen, W.Y., Chen, C.F. 2002 Secondary motion in convection layers generated by lateral heating of a solute gradient. J. Fluid Mech, 455, 1-19 19. K. Choukairy, R. Bennacer, H. Beji M.El Ganaoui, 2006 Transient Behavior Inside a Vertical Cylindrical Enclosure Heated from the Side walls. Numerical Heat Transfer, Part A, 50, 773-785. 20. Chang, T.Y., Chen, F., Chang, M.H. 2018 Three-dimensional stability analysis for a salt-finger convecting layer. J. Fluid Mech., 841, 636-653 21. Yu-Hsiang Huang, Falin Chen, and Chih-Ang Chung, 2021 Convective flow generated by lateral heating on a vertically stable solute gradient. Physical Review Fluids, 6, 053502 22. 柯禹劭, 2020 圓柱環流場之雙對流穩定性分析, 國立臺灣大學碩士論文 23. Neal, V. T., S. Neshyba, and W. Denner, 1969 Thermal stratification in the Arctic Ocean. Science, 166, 373–374 24. Konrad, T.G., 1970 The Dynamics of the Convective Process in Clear Air as Seen by Radar. J. Atmos. Sci., 27, 1138–1147 25. Spiegel, E. A., 1969 Semiconvection. Comments Astrophys. Space Phys., 1, 57–61. 26. Newell T.A., Von Driska P.M. 1986 Double Diffusive Effects on Solar Pond Gradient Zones. J. Sol. Energy Eng., 108(1), 3-5. 27. Beckermann, C Viskanta, R. 1988. Double-Diffusive Convection During Dendritic Solidification of a Binary Mixture. Phys. Chem. Hydrodynamics., 10, 195-213. 28. Kai Leong Chong, Rui Yang, Qi Wang, Roberto Verzicco, and Detlef Lohse, 2020 Café latte: spontaneous layer formation in laterally cooled double diffusive convection. J. Fluid Mech., 900, R6 29. Spiegel, E. A.; Veronis, G. 1960 On the Boussinesq Approximation for a Compressible Fluid. Astrophysical Journal, 131, p.442 30. Chen, C. F., Briggs, D., Wirtz, R., 1971 Stability of thermal convection in a salinity gradient due to lateral heating. Intl J. Heat Mass Transfer 14, 57–65 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/80193 | - |
| dc.description.abstract | 本論文利用有限元素法計算模擬軟體COMSOL Multipysics來模擬三維垂直圓環柱體中的雙擴散對流現象，以前人的垂直圓環柱雙擴散對流之流體穩定性數值分析為理論背景，來設定模擬軟體相關之物理現象研究問題和參數設定。以往的研究多著重於直角坐標系雙擴散現象之數值分析和數值模擬，圓柱座標系之研究通常會加上內壁旋轉使之產生泰勒渦旋(Taylor vortex)，並且討論轉速對產生對流層的影響。若內壁無旋轉，也多只有側向加熱之研究之實驗和數值分析，極少研究探討內壁無旋轉之雙擴散自然對流現象，故本論文致力於利用數值模擬的方式探討內壁無旋轉之雙擴散自然對流效應。 本研究主題為設想有兩同心圓環柱，兩圓環柱間為封閉的容器，並填入線性濃度分層之鹽水，故設定材料之無因次參數Pr=7 和 Le=100來模擬鹽水。溫度設定內壁固定為高溫，外壁固定為低溫，也就是有側向溫度差，而上下壁為熱絕緣，上下內外壁皆不通透。其中，濃度的初始條件將會分為兩個部份來探討，一是濃度線性分布垂直於溫度線性分布，濃度變化方向為圓環柱高度方向，而溫度變化方向為徑向方向，此初始條件是為了探討在圓環柱剖面側視圖(sectional side view)可觀察到的分層對流流場型態，且藉由改變內外圓環柱半徑比和溫度差來探討這兩個邊界條件之不同會如何影響分層對流流場結構；二是濃度線性梯度分布平行於溫度線性梯度分布，且溫度和濃度變化方向皆為徑向方向。由於前人使用此初始條件研究圓環柱線性流體穩定性之分析，並且得出不同半徑比其相對應之軸對稱和非軸對稱比較圖。而本研究將選取其半徑比0.8之軸對稱和非軸對稱比較圖，並在圖上選取10個重要的點來做暫態流場模擬，探討模擬結果之物理意義是否能與此比較圖相符且互相佐證。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-23T09:31:06Z (GMT). No. of bitstreams: 1 U0001-2106202113550400.pdf: 6855094 bytes, checksum: 175f081d994851ba39ca6471c568c76b (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | 致謝 I 摘要 III Abstract III 目錄 VII 圖目錄 VIIII 表目錄 XI 符號說明 XII 第一章 緒論 1 1.1 研究背景 1 1.2 文獻回顧 5 1.3 研究動機 12 1.4 研究方法 14 第二章 理論模型 16 2.1 物理模型與基本假設 16 2.2 Boussinesq approximation 18 2.3 統御方程式 19 2.4 邊界條件與初始條件 20 2.5 統御方程式之無因次化 21 2.5.1 濃度梯度垂直於溫度梯度之初始條件 21 2.5.2 濃度梯度平行於溫度梯度之初始條件 23 第三章 結果與討論 24 3.1 網格設定 24 3.1.1 簡介網格 24 3.1.2 網格選擇及變數變換 25 3.2 濃度梯度垂直於溫度梯度之模擬結果 27 3.2.1 參數設定 28 3.2.2 改變半徑比 29 3.2.3 改變溫度差 39 3.2.4 層與層之間濃度擴散效應合併現象 45 3.2.5 穩定邊界圖(stability boundary) 48 3.2.6 小結 50 3.3 濃度梯度平行於溫度梯度之模擬結果 51 3.3.1 Gs=100之參數設定 52 3.3.2 Gs=100之五點流場模擬圖 55 3.3.3 Gs=100小結. 60 3.3.4 Gs=1000之參數設定 63 3.3.5 Gs=1000之五點流場模擬圖 66 3.3.6 Gs=1000小結 71 第四章 結論與未來展望 74 4.1 結論 74 4.2 未來展望 75 參考文獻 76 | |
| dc.language.iso | zh-TW | |
| dc.subject | 層狀對流 | zh_TW |
| dc.subject | 數值模擬 | zh_TW |
| dc.subject | 雙擴散對流 | zh_TW |
| dc.subject | 圓柱座標系 | zh_TW |
| dc.subject | 側向加熱 | zh_TW |
| dc.subject | lateral heating | en |
| dc.subject | layerd convection | en |
| dc.subject | numerical simulation | en |
| dc.subject | double diffusion convection | en |
| dc.subject | cylindrical coordinate | en |
| dc.title | 垂直圓環柱體中雙擴散對流的三維數值模擬 | zh_TW |
| dc.title | Three dimensional simulation of double diffusive convection in a vertical annulus | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 周逸儒(Hsin-Tsai Liu),林哲宇(Chih-Yang Tseng) | |
| dc.subject.keyword | 數值模擬,雙擴散對流,圓柱座標系,側向加熱,層狀對流, | zh_TW |
| dc.subject.keyword | numerical simulation,double diffusion convection,cylindrical coordinate,lateral heating,layerd convection, | en |
| dc.relation.page | 79 | |
| dc.identifier.doi | 10.6342/NTU202101075 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2021-06-23 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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