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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 楊馥菱 | zh_TW |
dc.contributor.advisor | Fu-Ling Yang | en |
dc.contributor.author | 陳冠睿 | zh_TW |
dc.contributor.author | Guan-Rui Chen | en |
dc.date.accessioned | 2023-03-19T21:24:01Z | - |
dc.date.available | 2023-12-26 | - |
dc.date.copyright | 2022-07-12 | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2002-01-01 | - |
dc.identifier.citation | [1] Forterre, Y. & Pouliquen, O. 2008 Flows of Dense Granular Media. Annu. Rev. Fluid Mech. 40, 1–24. [2] Jenkins, J. Y. & Savage, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid Mech. 130, 187–202. [3] Jenkins, J. T. & Richman, M. W. 1985 Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks. Phys. Fluids. 28, 3485. [4] Campbell, C.S. 1990 Rapid granular flows. Annu. Rev. Fluid Mech. 22, 57–90. [5] Johnson, P. C., Nott, P. & Jackson, R. 1990 Frictional–collisional equations of motion for participate flows and their application to chutes. J. Fluid Mech. 210, 501–535. [6] Jenkins, J.T. 2006 Dense shearing flows of inelastic disks. Phys. Fluids. 18, 103307. [7] Nedderman, R. M. 1992 Statics and kinematics of granular materials. Cambridge University Press. [8] GDR MiDi 2004 On dense granular flows. Eur. Phys. J. E. 14, 341–365. [9] Da Cruz, F., Emam, S., Prochnow, M. Roux, J. N. & Chevoir, F. 2005 Rheophysics of dense granular materials: Discrete simulation of plane shear flows. Phys. Rev. E. 72, 021309. [10] Jop, P., Forterre,Y. & Pouliquen, O. 2006 A constitutive law for dense granular flows. Nature. 441, 727–730. [11] Forterre, Y. & Pouliquen, O. 2009 Granular flows. Seminaire Poincare. 69–100. [12] Jop, P., Forterre, Y. & Pouliquen, O. 2005 Crucial role of sidewalls in dense granular flows: consequences for the rheology. J. Fluid Mech. 541, 167–192. [13] Goyon, J., Colin, A., Ovarlez, G., Ajdari, A. & Bocquet, L. 2008 Microfluidic velocimetry reveals spatial cooperativity in soft glassy flows. Nature. 454, 84–87. [14] Olmsted, P. D. 2008 Perspectives on shear banding in complex fluids. Rheol. Acta. 47, 283–300. [15] Richard, P., Valance, A., Metayer, J. F. & Louge, M. 2008 Rheology of confined granular flows. Phys. Rev. Lett. 101, 248002. [16] Silbert, L. E., Landry, J. W. & Grest, G. S. 2003 Granular flow down a rough inclined plane: transition between thin and thick piles. Phys. Fluids. 15, 1–10. [17] Lin, C. C. & Yang, F. L. 2020 Continuum simulation for regularized non-local μ(I) model of dense granular flows. J. Comput. Phys. 420, 109708. [18] Bouzid, M., Trulsson, M., Claudin, P., Clement, E. & Andreotti, B. 2013 Nonlocal rheology of granular flows across yield conditions. Phys. Rev. Lett. 111, 238301. [19] Pouliquen, O. & Forterre, Y. 2009 A non-local rheology for dense granular flows. Phil. Trans. R. Soc. A. 367, 5091–5107. [20] Mills, P., Loggia, D. & Tixier, M. 1999 Model for a stationary dense granular flow along an inclined wall. Eur. Phys. Lett. 45, 733–38. [21] Tsai, C. T. 2021 Discrete element simulations of internal force-network structure for non-Bagnold transition of inclined surface dry granular flows. Master Thesis, Mechanical Engineering, National Taiwan University. [22] Xiu, T. X., Wang, W., Liu, K., Wang, Z. Y. & Wei, D. Z. 2018 Characteristics of force chains in frictional interface during abrasive flow machining based on discrete element method. Adv. Manuf. 6, 355–375. [23] Huang, Y. T. 2015 Dynamics and Rheology of Finite Dry Granular Mass in Avalanche down an Inclined Smooth Reservoir. Doctoral Dissertation, Mechanical Engineering, National Taiwan University. [24] Chiu, T. Y. 2015 Direct and indirect measurements of the rheological property of steady dry granular flows down a rough incline. Master Thesis, Mechanical Engineering, National Taiwan University. [25] Xu, Z. W. 2017 Experimental Investigation of Effective Wall Friction Coefficient for Steady Dry Dense Granular Flows down a Rough Incline. Master Thesis, Mechanical Engineering, National Taiwan University. [26] Cloud, G. 1995 Photoelasticity. Cambridge University Press. [27] Wakabayashi, T. 1950 Photoelastic method for determination of stress in powdered mass. J. Phys. Soc. Jpn. 5, 383–385. [28] Tang, Z., Brzinski, T. A., Shearer, M. & Daniel, K. E. 2018 Nonlocal rheology of dense granular flow in annular shear experiments. Soft Matter. 14, 3040–3048. [29] Sanfratello, L., Zhang, J., Cartee, S. C. & Fukushima, E. 2011 Exponential distribution of force chain lengths: a useful statistic that characterizes granular assemblies. Granular Matter. 13, 511–516. [30] Iikawa, N., Bandi, M. M. & Katsuragi, H. 2018 Force chain evolution in a two-dimensional granular packing compacted by vertical tappings. Phys. Rev. E. 97, 032901. [31] Thomas, A. L. & Vriend, N. M. 2019 Photoelastic study of dense granular free-surface flows. Phys. Rev. E. 100, 012902. [32] Thomas, A. L., Tang, Z., Daniels, K. E. & Vriend, N. M. 2019 Force fluctuations at the transition from quasi-static to inertial granular flow. Soft Matter. 15, 8532. [33] Iikawa, N., Bandi, M. M. & Katsuragi, H. 2015 Structure evolution of a granular pack under manual tapping. J. Phys. Soc. Jpn. 84, 094401. [34] Iikawa, N., Bandi, M. M. & Katsuragi, H. 2016 Sensitivity of granular force chain orientation to disorder-induced metastable relaxation. Phys. Rev. Lett. 116, 128001. [35] Seguin, A. 2020 Experimental study of some properties of the strong and weak force networks in a jammed granular medium. Granular Matter. 22, 48. [36] Zadeh, A. A., Barés, J., Brzinski, T. A. et al. 2019 Enlightening force chains: a review of photoelasticimetry in granular matter. Granular Matter. 21, 83. [37] Howell, D. & Behringer, R. P. 1999 Stress Fluctuations in a 2D Granular Couette Experiment: A Continuous Transition. Phys. Rev. Lett. 82, 26–28. [38] Daniels, K. E., Kollmer, J. E. & Puckett, J. G. 2017 Photoelastic force measurements in granular materials. Review of Scientific Instruments. 88, 051808. [39] Yang, C. D. 2020 A novel image processing algorithm to measure shear stress field in a photoelastic granular flow. Master Thesis, Mechanical Engineering, National Taiwan University. [40] Aranson, I. S., Tsimring, L. S., Malloggi, F. & Clement, E. 2008 Nonlocal rheological properties of granular flows near a jamming limit. Phys. Rev. E. 78, 031303. [41] Chen, H. T. 2019 A novel image-processing algorithm to study the dynamics of photoelastic disks during silo discharge. Master Thesis, Mechanical Engineering, National Taiwan University. [42] Pouliquen, O. & Forterre, Y. 2002 Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane. J. Fluid Mech. 453, 133–151. [43] Pouliquen, O. 1999 Scaling law in granular flows down rough inclined planes. Physics of Fluids. 11, 542. [44] Richard, P., Artoni, R., Valance, A. & Delannay, R. 2020 Influence of lateral confinement on granular flows: comparison between shear-driven and gravity-driven flows. Granular Matter. 22, 4. [45] Lun, C. K. K., Savage, S. B., Jeffrey, D. J. & Chepurniy, N. 1984. Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J. Fluid Mech. 140, 223–256. [46] Torquato, S. 1995 Nearest-neighbor statistics for packings of hard spheres and disks. Phys. Rev. E. 51, 3170. [47] Larsen, M. L. & Shaw, R. A. 2018 A method for computing the three-dimensional radial distribution function of cloud particles from holographic images. Atoms. Meas. Tech. 11, 4261–4272. [48] Verlet, L. & Levesque, D. 1982 Integral equations for classical fluids. Molecular Physics. 46, 969–980. [49] Vescovi, D., Berzi, D., Richard, P. & Brodu, N. 2014 Plane shear flows of frictionless spheres: Kinetic theory and 3D soft-sphere discrete element method simulations. Phys. Fluids. 26, 053305. [50] Berzi, D., Jenkins, J. T. & Richard, P. 2020 Extended kinetic theory for granular flow over and within an inclined erodible bed. J. Fluid Mech. 885, A27. [51] Meyer, S., Song, C., Jin, Y., Wang, K. & Makse, H. A. 2010 Jamming in two-dimensional packings. Physica A. 389, 5137–5144. | - |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/83931 | - |
dc.description.abstract | 穩態的斜坡顆粒流是多相的:它可以從自由表面附近多碰撞的類氣體快速運動連續過渡到底部以摩擦為主的類固體慢速運動。雖然已經開發了顆粒動力學理論來估計來自單顆粒碰撞引起的應力分量,但顆粒之間的摩擦如何在流動應力模型中發揮作用尚不清楚。因此,本研究旨在利用光彈材料的雙折射性質來開發一種非侵入式摩擦應力測量技術。我們不僅依文獻測量條紋強度來估計摩擦法向應力,我們還提出新的影像處理演算法來測量條紋角度以估計摩擦切向應力。我們使用光彈顆粒在溜槽中進行實驗,以非侵入的方式估計碰撞和摩擦應力分量。將這兩種分量與解析靜水壓進行比較,以確認應力確實從表面的純碰撞過渡到無滑移底部的純摩擦。當顆粒相互作用在碰撞和摩擦之間交替的中間層時,相較於總應力的大小,碰撞和摩擦應力分量的疊加會低估,這尚須改進。 | zh_TW |
dc.description.abstract | A steady inclined surface granular flow is multiphasic: it can transit continuously from a collision-rich gas-like fast motion near the free surface to a friction-dominated solid-like creeping motion at the base. While the granular kinetic theory has been developed to estimate collision-induced stress components from individual grain dynamics, how inter-particle friction plays a role in a flow stress model is yet unclear. Hence, this work aims to develop a non-intrusive frictional stress measurement technique by exploiting the birefringence of photoelastic material. We not only follow the literature to measure the fringe intensity to estimate frictional normal stress, but we also propose the first method to evaluate the tangential frictional stress from the fringe angle with novel image processing algorithms. We conducted experiments on a photoelastic granular chute flow facility to estimate the collisional and frictional stress components non-intrusively. These two components are compared to the analytic hydrostatic profiles to confirm that the bulk stress does transit from pure collisional at the surface to pure frictional at the no-slip base. When grain interaction alternates between collision and friction in mid-layer, a superposition of the collisional and frictional stress components would underestimate the total stress, necessitating a refined algorithm. | en |
dc.description.provenance | Made available in DSpace on 2023-03-19T21:24:01Z (GMT). No. of bitstreams: 1 U0001-2306202221064600.pdf: 8945524 bytes, checksum: 232ce2ffab799688ec1edc211fed3401 (MD5) Previous issue date: 2022 | en |
dc.description.tableofcontents | 致謝 I Abstract II 中文摘要 III Contents IV List of Figures VII List of Parameters XV Chapter 1 Introduction 1 1.1 Flow interaction mechanisms 1 1.2 Measurement techniques 5 1.3 Motivation 9 Chapter 2 Experiment facility 12 2.1 Chute setup and discharge procedure 12 2.2 Granular material: photoelastic disks 19 2.3 Flow threshold: H-θ curves 21 Chapter 3 Image processing algorithm 27 3.1 Disk-level information 27 3.1.1 Instantaneous disk location and size 27 3.1.2 Particle tracking velocimetry (PTV) method 28 3.1.3 Fringe extraction and segmentation 30 3.1.3.1 Get fringes with high grayscales 30 3.1.3.2 Get fringes with low grayscales 35 3.1.3.3 Connect the fringe’s centroid 39 3.2 Flow-level property 41 3.2.1 Average schemes for different flow properties 42 3.2.1.1 Volume fraction 42 3.2.1.2 Velocity 42 3.2.1.3 Granular temperature 43 3.2.1.4 Shear strain rate 44 3.2.1.5 Flow height 45 3.2.2 Average schemes for different fringe properties 46 3.2.2.1 G^2 value 46 3.2.2.2 Orientation angle of the force network < α > 47 Chapter 4 Post analysis for bulk stress components 50 4.1 Stress components 50 4.2 Steady bulk properties 51 4.2.1 Flow dynamics 51 4.2.2 Fringe properties 54 4.3 Static calibration for the frictional stress 60 4.3.1 Normal frictional stress and the σ_f-G^2 relation 62 4.3.2 Tangential frictional stress and the τ_f - <α> relation 64 4.4 Collision model for the collisional stress 66 4.4.1 Collision model 66 4.4.2 Measuring e_p for photoelastic disks 66 4.4.3 Radial distribution function, g_o 69 4.5 Total stress 73 Chapter 5 Conclusion 78 Reference 81 | - |
dc.language.iso | en | - |
dc.title | 藉由光彈顆粒流動態與光條紋特徵於穩態斜坡顆粒流中進行非侵入式應力量測 | zh_TW |
dc.title | Non-intrusive stress measurement in a steady inclined surface granular flow of photoelastic disks through their dynamics and fringe characteristics analysis | en |
dc.type | Thesis | - |
dc.date.schoolyear | 110-2 | - |
dc.description.degree | 碩士 | - |
dc.contributor.oralexamcommittee | 蕭述三;鍾雲吉 | zh_TW |
dc.contributor.oralexamcommittee | Shu-San Hsiau;Yun-Chi Chung | en |
dc.subject.keyword | 光彈顆粒流,梯度平方法,應力量測, | zh_TW |
dc.subject.keyword | photoelastic granular flow,gradient square method,stress measurement, | en |
dc.relation.page | 86 | - |
dc.identifier.doi | 10.6342/NTU202201080 | - |
dc.rights.note | 未授權 | - |
dc.date.accepted | 2022-07-04 | - |
dc.contributor.author-college | 工學院 | - |
dc.contributor.author-dept | 機械工程學系 | - |
顯示於系所單位: | 機械工程學系 |
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