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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 土木工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/4096
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor卡艾瑋
dc.contributor.authorChih-Chung Wangen
dc.contributor.author王志中zh_TW
dc.date.accessioned2021-05-13T09:20:41Z-
dc.date.available2016-08-25
dc.date.available2021-05-13T09:20:41Z-
dc.date.copyright2016-08-25
dc.date.issued2016
dc.date.submitted2016-08-18
dc.identifier.citation1. Berzi, D., & Jenkins, J. T. (2009). Steady inclined flows of granular-fluid mixtures. Journal of Fluid Mechanics, 641, 359-387.
2. Capart, H., Young, D. L., & Zech, Y. (2002). Voronoï imaging methods for the measurement of granular flows. Experiments in Fluids, 32(1), 121-135.
3. Chi, T. A. (2007). Laser halo measurements of solid-liquid two-phase flows (Doctoral dissertation, MSc thesis, National Taiwan University, Taiwan).
4. Chou, H. T., Lee, C. F. (2010). Falling process of a rectangular granular step. Granular Matter 13:39–51
5. Chou, H. T., Lee, C. F., Chung, Y. C. & Hsiau, S. S. (2012): Discrete element modelling and experimental validation for the falling process of dry granular steps. Powder Tech. 231, pp.122-134.
6. Chou, S. H., & Hsiau, S. S. (2012). Dynamic properties of immersed granular matter in different flow regimes in a rotating drum. Powder technology, 226, 99-106.
7. Capart, H., & Young, D. L. (1998). Formation of a jump by the dam-break wave over a granular bed. Journal of Fluid Mechanics, 372, 165-187.
8. Capart, H. (2013). Analytical solutions for gradual dam breaching and downstream river flooding. Water Resources Research, 49(4), 1968-1987.
9. Capart, H., Hung, C. Y., & Stark, C. P. (2015). Depth-integrated equations for entraining granular flows in narrow channels. Journal of Fluid Mechanics, 765, R4.
10. Fraccarollo, L., Capart, H., & Zech, Y. (2003). A Godunov method for the computation of erosional shallow water transients. International Journal for Numerical Methods in Fluids, 41(9), 951-976.
11. Gray, J. M. N. T. (2001). Granular flow in partially filled slowly rotating drums. Journal of Fluid Mechanics, 441, 1-29.
12. Harten, A., Lax, P. and Van Leer, P. (1983).On upstream differencing and Godunov type methods for hyperbolic conservation laws. SIAM review. 25(1):35-61
13. Hung, C. Y. (2015). Boundary erosion by granular flow: Experiments and theory. (Doctoral dissertation, Graduate Institute of Civil Engineering, National Taiwan University).
14. Huang, A. Y., Huang, M. Y., Capart, H., & Chen, R. H. (2008). Optical measurements of pore geometry and fluid velocity in a bed of irregularly packed spheres. Experiments in Fluids, 45(2), 309-321.
15. Jop, P., Forterre, Y., & Pouliquen, O. (2005). Crucial role of sidewalls in granular surface flows: consequences for the rheology. Journal of Fluid Mechanics, 541, 167-192.
16. Jop, P., Forterre, Y., & Pouliquen, O. (2006). A constitutive law for dense granular flows. Nature, 441(7094), 727-730.
17. Jop, P., Forterre, Y., & Pouliquen, O. (2007). Initiation of granular surface flows in a narrow channel. Physics of Fluids (1994-present), 19(8), 088102.
18. Lagrée, P. Y., Staron, L., & Popinet, S. (2011). The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a μ (i)-rheology. Journal of Fluid Mechanics, 686, 378-408.
19. Lee, C. F., Chou, H. T., & Capart, H. (2013). Granular segregation in narrow rotational drums with different wall roughness: Symmetrical and asymmetrical patterns. Powder technology, 233, 103-115.
20. Ni, W. J. (2005). Groundwater drainage and recharge by geomorphically active gullies. (MS thesis, Department of Civil Engineering, National Taiwan University.)
21. Schaefer, M., Bugnion, L., Kern, M., & Bartelt, P. (2010). Position dependent velocity profiles in granular avalanches. Granular Matter, 12(3), 327-336.
22. Spinewine, B., Capart, H., Fraccarollo, L., & Larcher, M. (2011). Laser stripe measurements of near-wall solid fraction in channel flows of liquid-granular mixtures. Experiments in fluids, 50(6), 1507-1525.
23. Spinewine, B., Capart, H. (2013). Intense bed-load due to a sudden dam-break. Journal of Fluid Mechanics, 731, 579-614.
24. Wu, Y. H. (2009). River and confluence response to the construction and failure of Balin Dam, 1977-2008 (MS thesis, Graduate Institute of Civil Engineering, National Taiwan University).
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/4096-
dc.description.abstract本論文以實驗及數值計算模擬乾顆粒瞬間潰壩對於下游沖刷動床之情況。實驗渠道為長270公分,寬4.2公分的實驗。對於初始條件,渠道設計具有可變角度及拆換式邊界的功能,可提供多種的傾斜角及邊界去進行不同類型實驗以進行探討。實驗採用直徑約2.5mm之細磨石顆粒做為模擬潰壩的堆積及底床材料,分析方法則使用粒子影像分析計算顆粒之路徑及流場,再以每一斷面之累積流量百分比定義顆粒流表面與流動層與底床交界線,提供實驗資料與數值理論作驗證。理論採用質量、動量、動能方程式作為基礎,再以深度積分法簡化方程式作為本研究之控制方程式。數值計算採用HLL之有限體積數值方法求解,並將數值計算結果與實驗之影像分析結果進行比較,以檢視現象差異,最終從比較結果中得到了相當好的效果。zh_TW
dc.description.abstractIn this thesis, a set of experiments of instantly dry dam-break granular flows to downstream erosion of the erodible deposits, and numerical simulation, are presented. In the experiments, the channel is 270 cm long, 4.2 cm wide. For the initial conditions, channel is designed to be variable-angle and features of removable type boundaries, and it can provide the variety of inclination angles and different types of boundaries to discuss the experiments. We use the glossy mill stones of 2.5mm to simulate the dam-break granular flow, and use particle tracking velocimetry (PTV) method to calculate the velocity field and the path of granular flows. Moreover, we calculate the accumulative flow rate of each section to define the lines of surface and bed-load. Furthermore, it can be compared with the results of numerical solutions. In theory, we take mass, momentum and kinetic energy equations as a basis, and use depth-integrated equation to derive the governing equations in depth-averaged modeling. Next, we use HLL scheme and finite volume numerical method to solve the equations. Finally, we take the result of numerical solutions to compare with the image analysis of experiments to observe the phenomenon of differences.en
dc.description.provenanceMade available in DSpace on 2021-05-13T09:20:41Z (GMT). No. of bitstreams: 1
ntu-105-R03521306-1.pdf: 192969130 bytes, checksum: 630d7fb150811b19d3f57cc109a35291 (MD5)
Previous issue date: 2016
en
dc.description.tableofcontents口試委員會審定書 #
誌謝 i
中文摘要 ii
ABSTRACT iii
CONTENTS iv
LIST OF FIGURES vi
LIST OF TABLES xvi
Chapter 1 Introduction 1
Chapter 2 Granular Flow Model 7
2.1 Theory of granular flow 7
2.1.1 Theory 7
2.1.2 Equilibrium granular flow 8
2.1.3 Depth-integrated equation 11
2.1.4 Unsteady-uniform flow condition 15
2.2 Research model 18
2.2.1 Governing equations 18
2.2.2 Boundary conditions 19
2.2.3 Eigenvalue analysis 21
2.3 Numerical computational scheme 23
2.3.1 HLL scheme (Harten, Lax and Van Leer , 1983) 23
2.3.2 Source operator 25
Chapter 3 Experimental Set-up and Procedure 27
3.1 Experiment Set-up 28
3.1.1 Experiment channel design 28
3.1.2 Measurement facilities 33
3.2 Particle material 34
3.3 Experiment procedure 36
3.3.1 Experiment arrangement 36
3.3.2 Calibration 41
3.3.3 PTV method in image analysis 44
Chapter 4 Result and Comparison 48
4.1 Introduction of experiment cases 48
4.2 Result of image analysis 49
4.2.1 Repeatable test of experiments 49
4.2.2 Long-exposure 53
4.2.3 Path 76
4.2.4 Mean velocity 98
4.2.5 Discharge in x-t diagram (linear distribution) 120
4.2.6 Discharge in x-t diagram (log distribution) 122
4.3 Result of numerical solution 125
4.4 Comparison of experiments and numerical solutions 146
Chapter 5 Conclusion 164
REFERENCE 166
dc.language.isoen
dc.subjectHLLzh_TW
dc.subject有限體積法zh_TW
dc.subject深度積分法zh_TW
dc.subject粒子影像分析zh_TW
dc.subject動床zh_TW
dc.subject潰壩zh_TW
dc.subjectfinite volume methoden
dc.subjectHLLen
dc.subjectparticle tracking velocimetryen
dc.subjecterodible depositsen
dc.subjectdam-breaken
dc.subjectdepth-integrated equationen
dc.title以實驗與深度積分理論探討乾顆粒流潰壩沖刷動床在可變角度渠道之行為zh_TW
dc.titleDry granular dam-break flows over erodible sloping deposits: experiments and depth-averaged modelingen
dc.typeThesis
dc.date.schoolyear104-2
dc.description.degree碩士
dc.contributor.oralexamcommittee周憲德,吳富春,賴悅仁
dc.subject.keyword潰壩,動床,粒子影像分析,深度積分法,HLL,有限體積法,zh_TW
dc.subject.keyworddam-break,erodible deposits,particle tracking velocimetry,depth-integrated equation,HLL,finite volume method,en
dc.relation.page168
dc.identifier.doi10.6342/NTU201603257
dc.rights.note同意授權(全球公開)
dc.date.accepted2016-08-20
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept土木工程學研究所zh_TW
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