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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 沈弘俊 | |
dc.contributor.author | Jia-Chi Chang | en |
dc.contributor.author | 張嘉棋 | zh_TW |
dc.date.accessioned | 2021-06-16T10:53:36Z | - |
dc.date.available | 2016-08-01 | |
dc.date.copyright | 2013-08-27 | |
dc.date.issued | 2013 | |
dc.date.submitted | 2013-08-09 | |
dc.identifier.citation | Ambarit, A., Gauthier-Manuel, B., Guyon, E., “Wall effects on a sphere translating at
constant velocity”,Journal of Fluid Mechanics, Vol. 149, pp. 235-253, 1984. Brenner, H., “The slow motion of a sphere through a viscous fluid towards a plane surface” , Chemical Engineering Science, Vol. 16, pp. 242-251, 1961. Charonko, J. J., King, C. V., Smith, B. L. & Vlacho, P. P., “Assessment of pressure filed calculations from particle image velocimetry measurements”, Measurement Science and Technology, Vol. 21, 1054-01, 2010. Constantinescu, G. and Squires, K., “Numerical investigations of flow over a sphere in the subcritical and supercritical regimes”, Physics of Fluids, Vol. 16, No. 5, 2004. Cooley, M. D. A. & O'Neill, M. E., “On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere”, Cambrige University Press, Vol. 16, pp. 37-49, 1969. Elman, H.C., “Poisson's equation by the FEM using a MATLAB mesh generator”, Math 692 Seminar in Finite Elements, version 2, Nov. 1, 2004. Faxen, H., Arkiv for matematik, astronomi och fysik, Vol. 17, No. 1, 1923. Fujisawa N., Tanahashi S., Srinivas K., “Evaluation of pressure field and fluid forces on a circular cylinder with and without rotational oscillation using velocity data rom PIV measurement”, Measurement Science and Technology, Vol. 16, pp. 989-996, 2005. Goldman, A. J., Cox, R. G. & Brenner H., “Slow viscous motion of a sphere parallel to a plane wall”, Chemical Engineering Science, Vol. 22, pp. 637-651, 1967. Hamielec, A. E., Hoffman, T. W. & Ross, L. L., “Numerical solution of the Navier- Stokes equation for flow past spheres”, Journal of American Institute of Chemical Engineers, Vol. 13, No. 2, 1967. Lamb, H., “Hydrodynamics”, Cambridge University Press, 1932. Le Clair, B. P., Hamielec, A. E. & Pruppacher, H. R., “A Numerical Study of the Drag on a Sphere at Low and Intermediate Reynolds Numbers”, Journal of Atmospheric Sciences, Vol. 27, pp. 308-315, 1969. Lorentz, H. A., “A general theroy concerning the motion of a viscous fluid”, Abhandl. Theoret., Phys. 1, 23, 1907. Miline-Thomson, L. M., “Theoretical Hydrodynamics”, Macmillan, New York, 1968. O'Neill, M. E., “A slow motion of viscous liquid caused by a slowly moving solid sphere”, Mathematika, Vol. 11, No. 67, 1964. O'Neill, M. E. & Stewartson, K., “On the slow motion of a sphere parallel to a nearby plane wall”, Journal of Fluid Mechanics, Vol. 27, pp. 705-724, 1967. Rajat, M. & Gianluca, I., “Immersed Boundary Methods”, Annual Review of Fluid Mechanics, Vol. 37, 239-261, 2005. Stokes, G. G., “On the effect of the internal friction of fluids on the motion of pendulums”, Cambridge Philosophical Society, Vol. 9, p. 8, 1851. Taneda, S., “Experimental Investigation of Wake behind a Sphere at Low Reynolds Number” , Jounal of The Physical Society of Japan, Vol. 11, No. 10, 1956. Tseng, Y. H.& Ferziger, J. H., “A ghost-cell immersed boundary method for flow in complex geometry”, Journal of Computational Physics, Vol. 192, pp. 593-623, 2003. Vasseur, P. & Cox, R. G., “The lateral migration of spherical particles sedimenting in a stagnant bounded fluid”, Journal of Fluid Mechanics, Vol. 80, pp. 561-591, 1977. Wacholder, E. & Weihs, D., “Slow motion of a fluid sphere in the vicinity of another sphere or a plane boundary”, Chemical Engineering Science, Vol. 27, pp. 1817-1828, 1972. Zeng, L., Balachandar, S. & Paul, F., “Wall-induced forces on a rigid sphere at finite Reynolds number”, Journal of Fluid Mechanics, Vol. 536, pp. 1-25, 2005. 林瑞國等人“利用沉浸邊界法求解不可壓縮流 Navier-Stokes 方程”第十四全 國計算流體力學學術研討會 南投縣 中華民國九十六年八月。 鄭又元“沉浸單擺運動與第二固體邊界之流體耦合距離之研究”台大機械工程所 2011。 陳宏昕 “平行壁面對沉浸球體單擺運動及其碰撞的影響之探討” 台大機械工程所 2011。 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/61214 | - |
dc.description.abstract | This thesis experimentally investigates the influence of adjacent walls on the flow field around an immersed solid sphere when the two solid surfaces approach constantly at low Reynolds number (Re=0~50). When an upstream wall approaches the sphere, it squeezes the liquid between the two surfaces can cause changes, known as the “wall effects”, in the flow dynamics when the wall is far away. The wall effect includes rise in the flow velocity and pressure filed in the interstitial gap, augmentation of the surface pressure distribution that in turn gives a higher form drag. In this experiment, a steel sphere is fixed in the middle of a constantly-rising water tank filled with glycerol-water mixture. We used different tank velocity to achieve flows at different Reynolds numbers, Re. The flow field is monitored by the technique of PIV. When the wall is close enough to modify the flow field, we use the interstitial gap between the wall and the sphere to define an “influence distance”. We further use the rise of the form drag to quantify this influence distance to study how it varies with Re. In addition, we also moved the sphere to an eccentric position closer to a tank side-wall to examine the side-wall influence on flow field and the influence distance of the upstream wall.
The results show that the influence distance decreases monotonically with Re when Re<20 but it asymptotes to a constant value about 0.5 diameter(D) when Re≧20.With a nearby lateral wall at 2D away, the trend remains nearly identical when Re≦20 but gives a higher influence distance, by 0.1D, from that without the lateral wall. This is because the additional wall has stronger decelerating effect on the interstitial liquid motion at higher Re. The same constant influence distance is found for Re≧20 when the lateral wall is moved to an even smaller lateral distance 1D; however, a smaller value is obtained at Re=5 and 10. This error is attributed an induced local flow by natural convection when the liquid is consistently heated by the PIV laser. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T10:53:36Z (GMT). No. of bitstreams: 1 ntu-102-R00543035-1.pdf: 9116189 bytes, checksum: feb16183e10f4013c989ac6850401835 (MD5) Previous issue date: 2013 | en |
dc.description.tableofcontents | 致謝.............................................................................................................................................i
中文摘要..................................................................................................................................iii Abstract......................................................................................................................................v 目錄..........................................................................................................................................vii 表目錄.......................................................................................................................................ix 圖目錄.......................................................................................................................................xi 符號說明..................................................................................................................................xv 第一章 緒論............................................................................................................................1 1-1文獻回顧......................................................................................................................1 1-1-1 上游牆.............................................................................................................1 1-1-2 側牆.................................................................................................................3 1-2研究動機與目的..........................................................................................................8 第二章 PIV實驗設備與校正...............................................................................................11 2-1實驗基材....................................................................................................................11 2-2問題描述....................................................................................................................13 2-2-1上游牆.............................................................................................................13 2-2-2上游牆及側牆.................................................................................................14 2-3實驗PIV設備及校正.................................................................................................15 2-3-1相關設備.........................................................................................................15 2-3-2光路架設及校正.............................................................................................18 2-4實驗步驟....................................................................................................................19 2-4-1實驗準備.........................................................................................................19 2-4-2實驗進行步驟.................................................................................................20 第三章 PIV影像處理及資料分析......................................................................................23 3-1速度場分析................................................................................................................23 3-1-1分析軟體.........................................................................................................23 3-1-2速度場優化.....................................................................................................24 3-2壓力場計算................................................................................................................27 3-2-1統御方程式.....................................................................................................27 3-2-2邊界條件之設定.............................................................................................28 3-2-3網格形式與壓力場計算方法.........................................................................29 3-3形狀阻力計算............................................................................................................32 3-4影響距離及分析網格選擇........................................................................................36 第四章 結果............................................................................................................................39 4-1速度場........................................................................................................................39 4-2速度分布....................................................................................................................50 4-3壓力場及球面壓力分佈............................................................................................57 4-4形狀阻力....................................................................................................................71 4-5影響距離....................................................................................................................74 第五章 結論及未來工作........................................................................................................77 5-1結論............................................................................................................................77 5-2討論............................................................................................................................78 5-3未來工作....................................................................................................................81 參考文獻..................................................................................................................................83 | |
dc.language.iso | zh-TW | |
dc.title | 邊牆對等速球所受形狀阻力及壓力場之影響 | zh_TW |
dc.title | Influence of adjacent walls on the form drag and pressure field of a constantly moving immersed solid sphere | en |
dc.type | Thesis | |
dc.date.schoolyear | 101-2 | |
dc.description.degree | 碩士 | |
dc.contributor.coadvisor | 楊馥菱 | |
dc.contributor.oralexamcommittee | 黃美嬌,黃信富 | |
dc.subject.keyword | 低雷諾數,邊壁效應,影響距離,形狀阻力,PIV 實驗, | zh_TW |
dc.subject.keyword | low Reynolds number,wall effect,influence distance,form drag,PIV, | en |
dc.relation.page | 84 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2013-08-09 | |
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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