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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 機械工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63541
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor楊馥菱(Fuling Yang)
dc.contributor.authorChing-Yu Tsaien
dc.contributor.author蔡清羽zh_TW
dc.date.accessioned2021-06-16T17:13:45Z-
dc.date.available2013-03-11
dc.date.copyright2012-08-22
dc.date.issued2012
dc.date.submitted2012-08-20
dc.identifier.citation[1] IA. Ingram, J.P.K. Seville, D.J. Parker, X. Fan, R.G. Forster, “Axial and radial dispersion in rolling mode rotating drums.”, Powder Technology, vol. 158, Pages 76 – 91, 2005
[2] J. Mellmann, “The transverse motion of solids in rotating cylinders—forms of motion and transition behavior.”, Powder Technology, vol. 118, Pages 251–270, 2001
[3] ASHISH V. ORPE, D. V. KHAKHAR, “Rheology of surface granular flows.”, J. Fluid Mech., vol. 571, pp. 1–32, 2007
[4] DELPHINE DOPPLER, PHILIPPE GONDRET, THOMAS LOISELEUX, SAM MEYER AND MARC RABAUD, “Relaxation dynamics of water-immersed granular avalanches.”, J. Fluid Mech., vol. 577, pp. 161–181, 2007
[5] Hunter, “Subaqueous sand flow cross-strata.”, J. Sedimentary Petrol., vol. 55, Pages 886–894, 1985
[6] Allen, “The avalanching of granular solids on dune and similar slopes. ”, J. Geol., vol. 78, Pages 326–351, 1970
[7] Carrigy, “Experiments on the angles of repose of granular materials.”, Sedimentology., vol. 14, Pages 147–158, 1970
[8] NITIN JAIN, J. M. OTTINO AND R. M. LUEPTOW, “Effect of interstitial fluid on a granular flowing layer.”, J. Fluid Mech., vol. 508, pp. 23–44, 2004
[9] Qing Xu, Ashish V.Orpe, and Arshad Kudrolli, “Lubrication effects on the flow of wet granular materials.”, PHYSICAL REVIEW, E 76, 031302, 2007
[10] Tegzes, Vicsek, Schiffer, “Avalanche Dynamics in Wet Granular Materials.”, Phys. Rev. Lett. 89, 094301, 2002
[11] Li-Hsiang Huang, “Dynamics of Two Phase Granular Mixture in a Rotating Drum with a Focus on Liquid Effects.”, Master Thesis, Department of Mechanical Engineering College of Engineering, National Taiwan University, 2010
[12] Yi-Luen Tsao, “Interstitial Liquid Effects on the Dynamics of Granular Matter in a Rotating Drum.”, Master Thesis, Department of Mechanical Engineering College of Engineering, National Taiwan University, 2009
[13] http://download.holo-pack.com.tw/100B/P113.jpg
[14] http://download.holo-pack.com.tw/100B/P114.jpg
[15] 陳章毅, “一種以Delaunay三角網為基礎之階層式空間演算法”, 民94
[16] 蔡建彰, “以Delaunay三角形建構座標轉換框架提供空間資料整合之研究”, 民95
[17] Victor J. D. Tsai, “Delaunay triangulations in TIN creation: an overview and a linear-time algorithm.”, International journal of geographical information systems vol. 7, Issue 6, 1993
[18] 王勗成,邵敏, “有限元素法:基本原理與數值方法”,民79
[19] S.H. Chou, S.S. Hsiau, “Experimental analysis of the dynamic properties of wet granular matter in a rotating drum.”, Powder Technology,vol. 214, Pages 491–499, 2011
[20] Nicholas A. Pohlman, Benjamin L. Severson, Julio M. Ottino, and Richard M. Lueptow, “Surface roughness effects in granular matter: Influence on angle of repose and the absence of segregation.”, PHYSICAL REVIEW E 73, 031304, 2006
[21] S.J. Haam, “Laser Doppler anemometry measurements in an index of refraction matched column in the presence of dispersed beads.”, International Journal of Multiphase Flow, vol.26, 1401-1418, 2000
[22] D.Doppler,P.GonDret,T.Loiseleux,S.Meter,M.Rabaud, “Relaxation dynamics of water-immersed granular avalanches.”, J. Fluid Mech., vol. 577, pp. 161–181, 2007
[23] Ming-Jhe Jiang, “In-Situ and Image-Based Force Measurement for a Steady Dry Granular Flow Over an Obstacle.”, Master Thesis, Department of Mechanical Engineering College of Engineering, National Taiwan University, 2012
[24] Par Kierkegaard, “A Method for Detection of Circular Arcs Based on the HoughTransform.”, Machine Vision and Applications, 5:249-263, 1992
[25] Chih-Yao Yang, “Effects of Interstitial Liquid and Sphere Size on the Development of a Steady Granular Flow in a Rotating Drum.”, Master Thesis, Department of Mechanical Engineering College of Engineering, National Taiwan University, 2010
[26] Sarah Nowak,Azadeh Samadani, and Arshad Kudrolli, “Maximum Angle of Stability of a Wet Granular Pile.”, Nature Physics,vol. 1, 50 – 52, 2005
[27] T. G. Mason, A. J. Levine, D. Ertas, and T. C. Halsey, “Critical angle of wet sandpiles.”, Phys. Rev. E 60, R5044–R5047, 1999
[28] 鄒仕豪, “間隙流體對於旋轉儀內顆粒偏析機制的影響”,碩士論文, 機械工程研究所,國立中央大學,民95
[29] 張軒源, “孔隙流體對滾筒中顆粒流動之影響”, 碩士論文, 土木工程研究所,國立中央大學民96
[30] http://en.wikipedia.org/wiki/Prewitt_operator
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63541-
dc.description.abstract本論文以系統性實驗探討滾筒中含間隙液體之顆粒流穩態運動行為。使用高速攝影機作運動觀測,所得的影像以圓形霍夫轉換(Circular Hough Transformation)作球體瞬時定位,配合最近鄰居法(the method of nearest neighbor)作顆粒在兩張照片中的配對,以達到粒子追蹤測速法(Particle Tracking Velocimetry, PTV)求得顆粒之瞬時速度。更進一步,藉由偵測流動表面之顆粒質心連線找出代表平滑自由面的直線方程式,以此直線斜率求出求出動態安息角'(β)' 。當間隙流體黏滯係數太大時,顆粒容易沾黏在滾筒壁上,使得此方法不再可行,針對此,本論文特別發展側向投影法來作等效的估計。
利用動態安息角定義一個貼齊顆粒流動方向的座標系,並進一步將顆粒瞬時速度透過空間平均以求出顆粒混合體之等效於連續體之平均速度(Bulk Velocity)及其在滾筒中央隨深度的變化。利用此資訊進一步求得流動層厚度(Flowing Layer Thickness,δ_0)及顆粒溫度(Granular Temperature),並藉由差分法求得應變率(Shear Strain Rate,γ ̇_xy)。
此外,所得的平均速度更被整合於動量方程式之控制體積分析(Control Volume Analysis)中,在假設球面間動摩擦力和球與壁面間動摩擦力成線性關係的條件下,估計出滾筒中央區塊之流動層內顆粒所受底部剪應力(τ_yx)隨深度變化。
相對於本實驗室先前以POM球'(ρ=1.4g/' 〖'cm' 〗^'3' ')' 作為顆粒組成,本文特地增加顆粒密度與間隙液體密度比,改使用鋼球'(ρ=7.98g/' 〖'cm' 〗^'3' ')' 作為實驗顆粒以觀察固、液密度比可能對顆粒流運動行為之影響。
為處理鋼球表面鏡面反光在圓形霍夫轉換下造成的誤差,本論文利用有限元素法(Finite Element Method, FEM)三角網格之觀念,發展一套有效的修正矩陣以修正球心偵測誤差,並針對其使用參數作敏感度評估。
實驗結果發現對於鋼球而言,在同一滾筒轉速及間隙流體含量下,隨著流體黏滯係數上升,顆粒流之流動型態會由傳統文獻上常形容的滾動型態(Rolling Regime)轉為潤滑型態(Lubrication Regime)—其顆粒體呈現一個浮在滾筒中的剛體沒有明顯的相對速度,此流動形態的轉變未見於密度較輕的POM實驗中。其他動態特性將於相對應之結果章節作整理。
zh_TW
dc.description.abstractThis thesis investigates how the interstitial viscous liquid may modify the steady solid-liquid granular flow behavior in a rotating drum via systematic experiments. The particle motions were monitored via a high-speed digital camera. The acquired images are processed by the circular Hough transformation to locate individual spheres in each image. The same particle is paired in two consecutive images by the method of the nearest neighbor to acchive particle tracking velocimetry (PTV) for the the instantaneous velocity of each particle. By threading the center of all the surface spheres, we could fit a line through the straight free surface and the line slope could be employed to estimate the dynamic repose angle,en
dc.description.provenanceMade available in DSpace on 2021-06-16T17:13:45Z (GMT). No. of bitstreams: 1
ntu-101-R99522116-1.pdf: 7480281 bytes, checksum: 90cf4332baf63ff4fd60689db0ccdeb3 (MD5)
Previous issue date: 2012
en
dc.description.tableofcontents目錄
誌謝 I
摘要 II
Abstract IV
目錄 VII
圖目錄 IX
表目錄 XIII
符號說明 XIV
第一章 緒論 1
1.1研究動機 1
1.2 研究背景及文獻回顧 2
1.3 研究目標 10
第二章 實驗設備及校正 11
2.1傳動機構及滾筒 11
2.2實驗顆粒及間隙流體 12
2.3 影像擷取系統 14
2.4 設備配置及校正 15
2.5實驗步驟 17
第三章 影像處理 18
3.1顆粒中心定位 18
3.1.1 霍夫轉換簡介 (Hough Transformation) 18
3.1.2 直線霍夫轉換 (Linear 2D- Hough Transformation) 18
3.1.3 圓形霍夫轉換 (Circular Hough Transformation) 21
3.1.4 以圓形霍夫轉換抓取實驗影像球心 23
3.2 霍夫擷取球心之誤差分析 27
3.2.1 誤差來源 27
3.2.2 估計誤差方法 28
3.3 修正中心定位誤差 31
3.3.1 原理 31
3.3.2 內插修正向量 34
3.3.3 評估 38
3.3.4 修正矩陣實際應用設置上的誤差敏感度分析 39
3.4 粒子追蹤測速法(Particle Tracking Velocimetry, PTV) 51
3.4.1 顆粒配對和最近鄰居法 51
3.4.2 速度向量修正分析 53
第四章 實驗結果 56
4.1安息角 56
4.1.1安息角及其測量方法 56
4.1.2 安息角誤差分析 71
4.1.3 測量方法限制 76
4.1.4 結果與討論 77
4.2 顆粒流平均運動(Bulk Velocity) 79
4.2.1 測量方法 79
4.2.2 結果討論 80
4.3 流動層厚度 94
4.3.1 流動層厚度定義及其估計方法 94
4.3.2 結果討論 96
4.4 應變率 100
4.4.1 應變率定義及其測量方法 100
4.4.2 結果討論 102
4.5 顆粒溫度 116
4.5.1 顆粒溫度定義及其估計方法 116
4.5.2 結果討論 117
4.6 剪應力 123
4.6.1雷諾傳輸定理(Reynolds transport theorem) 123
4.6.2 剪應力定義及其估計方法 124
4.6.3 結果討論 130
第五章 總結 137
參考文獻 140
附錄一 142
dc.language.isozh-TW
dc.subject鋼球zh_TW
dc.subject顆粒流zh_TW
dc.subject滾筒zh_TW
dc.subject間隙流體zh_TW
dc.subject圓形霍夫轉換zh_TW
dc.subject粒子追蹤測速法zh_TW
dc.subject動態安息角zh_TW
dc.subject流動型態zh_TW
dc.subject流動層厚度zh_TW
dc.subject應變率zh_TW
dc.subject顆粒溫度zh_TW
dc.subject剪應力zh_TW
dc.subjectdynamic repose angleen
dc.subjectPTVen
dc.subjectflow regimeen
dc.subjectgranular temperatureen
dc.subjectstrain rateen
dc.subjectgranular flowen
dc.subjectsolid-liquid two-phase mixturesen
dc.subjectflowing layer thicknessen
dc.subjectsteel spheresen
dc.subjectrotating drumen
dc.subjectCircular Hough Transformationen
dc.title間隙流體對滾筒中鋼球顆粒流穩態行為之影響及相關影像處理之改進zh_TW
dc.titleInterstitial Liquid effects on the dynamic of granular mixture of Steel spheres and improvement of the relevant image processing techniquesen
dc.typeThesis
dc.date.schoolyear100-2
dc.description.degree碩士
dc.contributor.oralexamcommittee卡艾偉(Herve Capart),曾建洲(Chien-Chou Tseng)
dc.subject.keyword顆粒流,滾筒,鋼球,間隙流體,圓形霍夫轉換,粒子追蹤測速法,動態安息角,流動型態,流動層厚度,應變率,顆粒溫度,剪應力,zh_TW
dc.subject.keywordgranular flow,solid-liquid two-phase mixtures,steel spheres,rotating drum,Circular Hough Transformation,PTV,dynamic repose angle,flow regime,flowing layer thickness,strain rate,granular temperature,en
dc.relation.page144
dc.rights.note有償授權
dc.date.accepted2012-08-20
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept機械工程學研究所zh_TW
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