跳到主要內容

簡易檢索 / 詳目顯示

研究生: 黃俊豪
Chung-Hao Huang
論文名稱: 剪力流中分離現象研究
指導教授: 蕭述三
Shu-San Hsiau
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度: 94
語文別: 中文
論文頁數: 118
相關次數: 點閱:9下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本文觀察經剪力作用之混合大小粒子並探討其分離現象,普遍認
    為由粒徑差異所造成的分離現象主要由滲透效應來主導,所謂的滲透
    效應即小粒子藉由外來能量而穿透大粒子間隙的一種遷移現象。
    本文使用實驗方法,針對底盤速度與粒子佔有體積比對粒子在剪
    力槽內分離現象所造成影響做探討。藉由觀察剪力槽內分離現象隨時
    間變化情形,分析小粒子之速度分布以及粒子溫度、濃度分佈、分離
    強度等,實驗發現底盤速度與粒子佔有體積比提高,粒子之平均速度
    梯度、x 方向與y 方向擾動速度梯度以及粒子溫度梯度皆會增加,且
    高底盤速度與高粒子佔有體積亦具有較大初始分離速率與穩定狀態
    時較高之分離強度值,其中粒子佔有體積比對初始分離率與最大分離
    強度具有較大的影響力。另外亦針對粒徑比,利用剪力槽上壁面所裝
    置三個雙向應力規來量測剪應力與正向應力,分析作用於剪力槽邊壁
    之應力大小。


    This thesis examines the segregation phenomena of binary granular
    material subjected to external sheared force. This type of flow in a shear
    cell is known as Couette flow in fluid mechanics. The influence of both
    the bottom wall velocity and solid fraction of granular material on the
    segregation behaviors are discussed.Experiments are performed in a shear
    cell device and the glass spheres are used as granular materials. The
    motions of the granular materials are recorded by a high-speed camera.
    Image processing technology and particle tracking method are employed
    to measure the average and fluctuation velocities in the streamwise and
    the transverse directions. Two models are used to describe segregation
    level and an index called intensity of segregation, Is, is employed to
    quantify the segregation quality. The initial segregation rate is calculated
    from a least-square fit using the time evolution of Is. Three bi-directional
    stress gages are installed on the upper wall to measure the nomal and
    shear stresses.

    摘 要.................................................................................... i 誌 謝...................................................................................iii 附表目錄................................................................................. vii 附圖目錄............................................................................... .viii 符號說明................................................................................. xii 第一章 簡介..............................................................................1 1.1 粒子流簡介.....................................................................1 1.2 剪力流研究歷史.............................................................4 1.3 分離現象研究.................................................................7 1.3.1 十種分離效應..........................................................7 1.3.2 量測分離的技術與裝置....................................... 12 1.3.3 剪力槽方面的分離............................................... 14 1.4 研究動機與方向.......................................................... 17 第二章 實驗方法與原理....................................................... 19 2.1 實驗設備...................................................................... 19 2.1.1 剪力槽裝置........................................................... 19 v 2.1.2 顆粒體................................................................... 21 2.1.3 觀測及量測儀器................................................... 22 2.2 實驗原理與方法.......................................................... 25 2.2.1 影像處理分析方法............................................... 25 2.2.2 分離指標(Segregation Indices) ............................. 26 2.3 平均速度與變動速度的量測方法.............................. 28 2.3.1 Correlation 簡介..................................................... 28 2.3.2 Correlation 程式流程............................................. 30 2.4 粒子溫度之概念.......................................................... 32 2.5 應力分析...................................................................... 33 2.6 實驗步驟...................................................................... 35 2.6.1 速度分析的量測................................................... 35 2.6.2 濃度與分離強度分析量測................................... 37 2.6.3 應力的量測........................................................... 39 2.7 誤差.............................................................................. 41 第三章 實驗結果與討論....................................................... 42 3.1 速度場分析與粒子溫度.............................................. 43 3.2 濃度隨高度變化之關係.............................................. 46 3.3 分離強度(Intensity of Segregation)的比較................. 52 vi 3.4 不同尺寸比中大小粒子含量對應力的影響............... 59 第四章 結論........................................................................... 61 參考文獻................................................................................. 63

    Bagnold, R. A., 1954, “Experiments on a Gravity-Free Dispersion of Large Solid
    Spheres in a Newtonian Fluid Under Shear.” Proc. R. Soc. London, Ser. A, Vol. 225,
    pp. 49-63.
    Barbosa-Canovas, G., Malave-Lopez, J. and Peleg, M., 1985, “Segregation in Food
    Powders.” Biotechnol. Prog., Vol. 1, pp. 140-146.
    Baumann, G., Janosi, I. M. and Wolf, D. E., 1995, “Surface Properties and Flow of
    Granular Material in a Two Dimensional Rotating Drum.” Phys. Rev. E, Vol. 51, pp.
    1879-1888.
    Boutreux, T. and de Gennes, P. G., 1996, “Surface Flows of Granular Mixtures. I.
    General Principles and Minimal Model.” J. Phys. I, France, Vol. 6, pp. 1295-1304.
    Bridgwater, J., Cooke, M. H. and Scott, A. M., 1978, “Interparticle Percolation:
    Equipment Development and Mean Percolation Velocities.” Trans. Inst. Chem.
    Eng., Vol. 56, pp. 157-167.
    Bridgwater, J., Foo, W. S. and Stephens, D. J., 1985, “Particle Mixing and Segregation
    in Failure Zones-Theory and Experiment.” Powder Tech., Vol. 41, pp. 147-158.
    Bridgwater, J., 1994, Mixing and Segregation Mechanisms in Particle Flow. In
    Granular Material-An Interdisciplinary Approach, ed. by A. Mehta. New York:
    Springer-Verlag. pp. 161-193.
    Brown, L. A. and Chung, S. Y., 2006, “Spatial Segregation, Segregation Indices and
    the Geographical Perspective.” Population Space And Place, Vol. 12, Issue 2, pp.
    125-143.
    Cagnoli, B. and Manga, M., 2004, “Granular Mass Flows and Coulomb`s Friction in
    Shear Cell Experiments: Implications for Geophysical Flows.” J. Geophys. Res.,
    Vol. 109, F04005.
    Cagnoli, B. and Manga, M., 2005, “Vertical Segregation in Granular Mass Flows: A
    Shear Cell Study.” Geophys. Research Lett., Vol. 32, Issue 10, L10402.
    Campbell, C. S., 1989, ”The Stress Tensor for Simple Shear Flow of a Granular
    Material.” J. Fluid Mech., Vol. 203, pp. 449-473.
    Cantalaube, F. and Bideau, D., 1995,”Radial Segregation in a 2D Drum: Experimental
    Analysis.” Europhys. Lett., Vol. 30, pp. 133-138.
    Cle´ment, E., Rajchenbach, J. and Duran, J., 1995, “Mixing of a Granular Material in
    a Bidimensional Rotating Drum.” Europhys. Lett., Vol. 30, pp. 7-12.
    Cooke, M. H. and Bridgwater, J., 1979,”Interparticle Percolation: A Statistical
    Mechanical Interpretation.” I&EC Fundam., Vol. 18, pp. 25-27.
    Das Gupta, S., Bhatia, S. K. and Khakhar, D. V., 1991, “Axial Segregation of Particles
    64
    in a Horizontal Rotating Cylinder.” Chem. Eng. Sci., Vol. 46, pp. 1513-1517.
    Dolgunin, V. N. and Ukolov, A. A., 1995, “Segregation Modelling of Particle Rapid
    Gravity Flow.” Powder Tech., Vol. 83, pp. 95-103.
    Donald, M. B. and Roseman, B., 1962, ”Mixing and Demixing of Solid Particles. Part
    1. Mechanisms in a Horizontal Drum Mixer.” Br.Chem. Eng., Vol. 7, pp. 749-752.
    Drahun, J. A. and Bridgwater, J., 1983, ”The Mechanics of Free Surface Segregation.”
    Powder Tech., Vol. 36, pp. 39-53.
    Drake, T. G. and Shreve, R. L., 1986, “High Speed Motion Pictures of Nearly Steady,
    Uniform, Two-Dimensional, Inertial Flows of Granular Materials.” J. Rheol., Vol.
    50, pp. 981-993.
    Duffy, S. P., and Puri, V. M., 2002, “Primary Segregation Shear Cell for
    Size-Segregation Analysis of Binary Mixtures.” KONA, No. 20, pp. 196-207.
    Duffy, S. P., and Puri, V. M., 2003, “Development and Validation of a Constitutive
    Model for Size-Segregation During Percolation.” KONA, No. 21, pp. 151-162.
    Dury, C. M. and Ristow, G. H., 1997, ”Radial Segregation in a Two-Dimensional
    Rotating Drum.” J. Phys. I, France, Vol. 7, pp. 737-745.
    Elliott, K. E., Ahmadi, G. and Kvasnak, W. J., 1998, “Couette Flows of a Granular
    Monolayer – a Experimental Study.” J. Non-Newtonian Fluid Mech., Vol. 74, pp.
    89-111.
    Fan, L. T., Chen, Y. M. and Lai, F. S., 1990, “Recent Developments in Solids
    Mixing.” Powder Tech., Vol. 61, pp. 255-287.
    Harwood, C. F., 1977, “Powder Segregation due to Vibration.” Powder Tech., Vol. 16,
    pp. 51-57.
    Hanes, D. M. and Inman, D. L., 1985, “Observations of Rapidly Flowing Granular
    Fluid Flow.” J. Fluid Mech., Vol. 150, pp. 357-380.
    Herrmann, H.J., 1999, “Statistical Models for Granular Materials.” Physica A, Vol.
    263, pp. 51-62.
    Hill, K. M. and Kakalios, J., 1995, “Reversible Axial Segregation of Rotating
    Granular Media.” Phys. Rev. E, Vol. 52, No. 4, pp. 4393-4400.
    Hsiau, S. S. and Hunt, M. L., 1993b, “Kinetic Theory Analysis of Flow-Induced
    Particle Diffusion and Thermal Conduction in Granular Material Flows.” J. Heat
    Transfer, Vol. 115, pp. 541-548.
    Hsiau, S. S. and Shieh, Y. H., 1999, “Fluctuations and Self-Diffusion of Sheared
    Granular Material Flows.” J. Rheol., Vol. 43, pp. 1049-1066.
    Hsiau, S. S. and Yang, W. L., 2002, “Stress and Transport Phenomena in Sheard
    Granular Flows with Different Wall Condition.” Phys. Fluid, Vol. 14, No. 2, pp.
    612-621.
    Hungr, O. and Morgenstern, N. R., 1984, “Experiments on the Flow Behavior of
    65
    Granular Material at High Velocity in an Open Channel.” Geotechnique, Vol. 34, pp.
    405-413.
    Hvorslev, M. J., 1936, “A Ring Shearing Apparatus for the Determination of the
    Shearing Resistance and Plastic Flow of Soil.” In Proc. Intl. Conf. Soil Mech.
    Found. Engng., Cambridge, Mass., Vol. 2, pp. 125-129.
    Hvorslev, M. J., 1939, “Torsion Shear Tests and Their Place in the Determination of
    Shearing Resistance of Soils.” Proc. ASTM, Vol. 39, pp. 999-1022.
    Hwang, C., 1978, “Mixing and segregation in flowing powders.” Doctor of Philosophy
    Thesis. The Pennsylvania State University, University Park, PA.
    Jaeger, H.M. and Nagel, S.R., 1992, “Physics of the Granular State.” Science, Vol.
    255, pp. 1523-1531.
    Jain, N., Ottino, J. M. and Lueptow, R. M., 2005, “Combined Size and Density
    Segrgation and Mixing in Noncircular Tumblers.” Phys. Rev. E, Vol. 72, No. 5,
    051301.
    Jenike, A. W., Bulletin No. 123 – Storage and flow of solids. Utah Engineering
    Experiment Station. Salt Lake City, Utah.
    Johanson, J. R., 1988, “Solids Segregation-Causes and Solutions.” Powder and Bulk
    Eng., pp. 13-19.
    Jian, L. and Anthony, D. R., 2005, “Genernal Features of Granular Coutte Flow and
    Intruder Dynamics.” J. Phys. Matter, Vol. 17, pp. S2609-S2622.
    Julien, R. and Meakin, P., 1990, “A Mechanism for Particle Size Segregation in Three
    Dimensions.” Nature, Vol. 344, pp. 425-427.
    Justin, S., Zachary, S., Edward, O. and Wolfgang, L., 2004, “Segregation in a
    Monolayer of Magnetic Spheres.” Phys. Rev. E, Vol. 70, 031304.
    Kerry, J., Chris, E., Dev, G. Millorad, D. and Mario, H., 2005, “Quantitative
    Measurement of Particle Segregation Mechanisms.” Powder Tech., Vol. 159, pp.
    1-12.
    Knight, J. B., Jaeger, H. M. and Nagel, S. R., 1993, ”Vibration Induced Granular
    Segre- gation in Granular Media: The Convection Connection.” Phys. Rev. Lett.,
    Vol. 70, pp. 3728-3731.
    Koeppe, J. P., Enz, M. and Kakalios, J., 1998, “Phase Diagram for Avalanche
    Stratification of Granular Media.” Phys. Rev. E, Vol. 58, pp. R4104-R4107.
    Lacey, P. M. C., 1954, “Developments in the Theory of Particle Mixing.” J. Appl.
    Chem., Vol. 4, pp. 257-268.
    Lätzel, M., Luding, S. and Hermann, H. J., 2000, “Macroscopic Material Properties
    from Quasi-static, Microscopic Simulations of a Two-Dimensional Shear-Cell.”
    Granular Matter, Vol. 2, pp. 123-135.
    Lun, C. K. K., 1996, “Granular Dynamics of Inelastic in Couette Flow.” Phys. Fluids.,
    66
    Vol. 8, pp. 2868-2883.
    Makse, H. A., Havlin, S., King, P. R. and Stanley, H. E., 1997, “Spontaneous Stratification
    in Granular Mixtures.” Nature, Vol. 386, pp. 379-381.
    Matthiesen, D. H., Davidson, K. and Arnold, W. A., 1999, “Physical Modeling of the
    Effect of Shearing on the Concentration Profile in a Shear Cell.” J. Electrochem.
    Soc., Vol. 146, Issue 8, pp. 3087-3091.
    Miller, B., O’Hern, C. and Behringer, R. P., 1996, “Stress Fluctuations for Continuously
    Sheared Granular Materials.” Phys. Rev. Lett., Vol. 77, No. 15, pp.
    3110-3113.
    Mitani, N. K., Matuttis, H. G. and Kadono, T., 2004, “Density and Size Segregation in
    Deposits of Pyroclastic Flow.” Geophys. Res. Lett., Vol. 31, L15606.
    Mosby, J., de Silva, S. R. and Enstad, G. G., 1996, “Segregation of Particulate
    Materials – Mechanisms and Testers.” KONA, No. 14, pp. 31-42.
    Nakagawa, M., 1994, “Axial Segregation of Granular Flows in a Horizontal Rotating
    Cylinder.” Chem. Eng. Sci., Vol. 49, pp. 2540-2544.
    Nasuno, S., Kudrolli, A., Bak, A. and Gollub, J. P., 1998, “Time-Resolved Studies of
    Stick-Slip Friction in Sheared Granular Layers.” Phys. Rev. E, Vol. 58, pp.
    2161-2171.
    Nityanand, N., Manley, B. and Henein, H., 1986, “An Analysis of Radial Segregation
    for Different Sized Spherical Solids in Rotary Cylinders.” Metal. Trans. B, Vol. 17,
    pp. 247-257.
    Olsen, J. L. and Rippie, E. G., 1964, “Segregation Kinetics of Particulate Solids
    Systems.Ⅰ.Influence of Particle Size and Particle Size Distribution.” J. Pharm. Sci.,
    Vol. 53, pp. 147-150.
    Ottino, J. M. and Khakhar, D. V., 2000, “Mixing and Segregation of Granular
    Materials.” Annu. Rev. Fluid Mech., Vol. 32, pp. 55-91.
    Pershin, V. F. and Teor. Osn. Khim, 1986, “Modeling of the Mixing of a Particulate
    Material in a Cross Section of a Rotating Drum.” Tekhol., Vol., 20, pp. 508-512.
    Prigozhin, L. and Kalman, H., 1998, “Radial Mixing and Segregation of a Binary
    Mixture in a Rotating Drum: Model and Experiment.” Phys. Rev. E, Vol. 57, pp.
    2073-2080.
    Poole, K. R., Taylor, R. F. and Wall, G. P., 1964, “Mixing Powders to Fine – Scale
    Homogeneity: Studies of Batch Mixing.” Trans. Inst. Chem. Eng., Vol. 42,
    T305-T315.
    Popplewell, L. M., Campanella, O. H., Sapru, V. and Peleg, M., 1989, “Theoretical
    Comparison of Two Segregation Indices for Binary Powder Mixtures.” Powder
    Tech., Vol. 58, pp. 55-61.
    Popplewell, L. M. and Peleg, M., 1991, “On the Segregation of Compressible Binary
    67
    Powder Mixtures Subjected to Tapping.” Powder Tech., Vol. 67, pp. 21-26.
    Pouliquen, O. and Chevoir, F., 2002 “Dense Flows of Dry Granular Material.” C. R.
    Physique, Vol. 3, pp. 163-175.
    Poux, M., Fayolle, P., Bertrand, J. and Bousquet, J., 1991, “Powder Mixing: Some
    Practical Rules Applied to Agitated Systems.” Powder Tech., Vol. 68, pp. 213-234.
    Rippie, E. G., Olsen, J. L. and Faiman, M. D., 1964, “Segregation Kinetics of
    Particulate Solids Systems.Ⅱ.Paticles Density – Size Interactions and Wall
    Effects.” J. Pharm. Sci., Vol. 52, pp. 1360-1363.
    Ristow, G. H., 1994, “Particle Mass Segregation in a Two-Dimensional Rotating
    Drum.” Europhys. Lett., Vol. 28, pp. 97-101.
    Rollins, D. K., Faust, D. L. and Jabas, D. L., 1995, “A Superior Approach to Indices
    in Determining Mixture Segregation.” Powder Tech., Vol. 84, pp. 277-282.
    Rosato, A., Prinze, F., Standburg, K. J. and Svendsen, R., 1987, “Why Brazil Nuts are
    on Top: Size Segregation of Particulate Matter by Shaking.” Phys. Rev. Lett., Vol.
    58, pp. 1038-1040.
    Sanders, D. A., Swift, M. R., Bowley, R. M. and King, P. J., 2006, “The Attraction of
    Brazil Nuts.” Europhys. Lett., Vol. 73, No. 3, pp. 349-355.
    Savage, S. B., 1979, “Gravity Flow of Cohesionless Granular Materials in Chutes and
    Channels.” J. Fluid Mech., Vol. 92, pp. 53-96.
    Savage, S. B. and Sayed, M., 1984, “Stresses Developed by Dry Cohesionless
    Granular Materials Sheared in an Annular Shear Cell.” J. Fluid Mech., Vol. 142, pp.
    391-430.
    Savage, S. B. and Lun, C. K. K., 1988, “Particle Size Segregation in Inclined Chute
    Flow of Cohesionless Granular Slids.” J. Fluid Mech., Vol. 189, pp. 311-335.
    Savage, S. B., 1993, “Disorder, Diffusion and Structure Formation in Granular Flow.”
    In Disorder and Granular Media, ed. D. Bideau, A Hansen, pp. 255-285.
    Schöllmann, S., 1999, “Simulations of a Two – Dimensional Shear Cell.” Phys. Rev.
    E, Vol. 59, pp. 889-899.
    Smid, J., 1983, “Pressure Distribution Under Stockpile of Bulk Solids.” Grundlagen
    der Landtechnik, Vol. 33, pp. 72-75.
    Soh, J. K. P., Liew, C. V. and Heng, P. W. S., 2006, “New Indices to Characterize
    Powder Flow based on their Avalanching Behavior.” Parm. Development and Tech.,
    Vol. 11, Issue 1, pp.93-102.
    Stephens, D. J. and Bridgwater, J., 1978a, “The Mixing and Segregation of
    Cohesionless Particulate Materials. Part I. Failure Zone Formation.” Powder Tech.,
    Vol. 21, pp. 17-28.
    Stephens, D. J. and Bridgwater, J., 1978b, “The Mixing and Segregation of
    Cohesionless Particulate Materials. Part II. Microscopic Mechanisms for Particles
    68
    Differing in size.” Powder Tech., Vol. 21, pp. 29-44.
    Tang, P., 2004, Percolation and Sieving Segregation Patterns-Quantification,
    Mechanistic Theory, Model Development and Validation, and Application. Ph. D.
    diss. The Pennsylvania State University, Unervisity Park, Penn.
    Tang, P. and Puri, V. M., 2004, “Methods for Minimizing Segregation: A Review.”
    Part. Sci. & Tech., Vol. 22, pp. 321-337.
    Tang, P. and Puri, V. M., 2005, “An Innovative Device for Quantification of
    Percolation and Sieving Segregation Patterns-Single Component and Multiple Size
    Fractions.” Part. Sci. & Tech., Vol. 23, Issue 4, pp. 335-350.
    Tardos, G. I., Khan, M. I. and Schaeffer, D. G., 1998, “Forces on a Slowly Rotating,
    Rough Cylinder in a Couette Device Containing a Dry, Frictional Powder.” Phys.
    Fluids., Vol. 10, pp. 335-341.
    Thompson, P. A. and Grest, G. S., 1991, “Granular Flow and the Dilatancy
    Transition.” Phys. Rev. Lett., Vol. 67, pp. 1751-1754.
    Thornton, A. R., Gray, J. M. N. T. and Hogg, A. J., 2006, “A Three-Phase Mixture
    Theory for Particle Seze Segregation in Shallow Granular Free-Surface Flows.” J.
    Fluid Mech., Vol. 550, pp. 1-25.
    Vallance, J. W. and Savage, S. B., 2000, Particle Segregation in Granular Flows Down
    Chutes. In IUTAM Symposium on Segregation in Granular Flows, ed. by A. D.
    Rosato and D. L. Blackmore. Boston: Kluwer Academic. pp. 31-51.
    Veje, C. T., Howell, R. P. and Behringer, R. P., 1999, “Kinematics of a
    Two-Dimensional Granular Couette Experiment at the Transition to Shearing.”
    Phys. Rev. E, Vol. 59, No. 1, pp. 739-745.
    Wang, D. G. and Campebll, C. S., 1992, “Reynolds Analogy for a Shearing Granular
    Materials.” J. Fluid Mech., Vol. 244, pp. 527-546.
    Williams, J. C., 1963, “The Segregation of Powders and Granular Materials.” Fuel
    Soc. J., Vol. 14, pp. 29-34.
    Williams, J. C., 1976, “The Segregation of Particulate Materials – a Review.” Powder
    Tech., Vol. 15, pp. 245-251.
    Yang, X. Q., Zhou, K., Qiu, K. and Zhao, Y. M., 2006, “Segregation of Large
    Granules From Close-Packed Cluster of Small Granules due to Buoyancy.” Phys.
    Rev. E, Vol. 73, No. 3, 031305.
    Zik, O., Levine, D., Lipson, S. G., Shtrikman, S. and Stavans, J., 1994, “Rotationally
    Induced Segregation of Granular Materials.” Phys. Rev. Lett., Vol. 73, pp. 644-647.
    賈魯強,黎璧賢,2001 年8 月,“ 漫談顆粒體物理 ”,物理雙月刊,23 卷,4
    期,pp. 503-510.

    QR CODE
    :::