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Student Number 84343004
Author Ming-Sam Shih(施明憲)
Author's Email Address sam5957@itri.org.tw
Statistics This thesis had been viewed 2396 times. Download 1380 times.
Department Mechanical Engineering
Year 2002
Semester 2
Degree Ph.D.
Type of Document Doctoral Dissertation
Language zh-TW.Big5 Chinese
Title Random Walk Approach on Study of Void Formation in Resin Transfer Molding
Date of Defense 2003-06-03
Page Count 127
Keyword
  • Monte Carlo
  • Rando
  • Resin Transfer Molding (RTM)
  • Abstract The presence of the void is harmful to the product’s mechanical properties. In the present study, a Monte-Carlo-like random walk model is firstly proposed for the simulation of void formation, namely, the voids of the first kind and the voids of the second kind, during the filling stage of RTM. The former is resulted from the kinetic difference along the free surface movement, and the latter is the product of the first type void. An obstacle in the flow field always tends to lift the potential on void entrapment. Results show that the void of the first kind is formed within the fiber bundle as the permeability ratio of the fiber mats to the fiber bundle is greater than 10. Once the first type voids are formed, the dissolution of that voids may occur due to the capillary action. That is, micro flow provides compression strength on the bubbles within the bundle to against the threshold pressure, such that some gas molecules were rejected out periodically to reach balance to the external pressure. Results show that, the content of second type voids increases as the  decreases. The critical  is found to be . Below which the number of the void is inversely proportional to  in a parabolic trend.
       Based on the similarity of capillary rise, a centrifugal platform is conducted to perform the required data for the correlation between capillary pressure and other properties of the fibrous network proposed by  theorem. A Monte-Carlo-like random walk approach is developed here to resolve the time-dependent, free-surface flows and to study the transport of tiny bubbles by tracing the paths of fictitious random walk, colored black or white. By using the strong correlation functions ( and ), the local displacing probability of random walks can be determined.
    Table of Content 摘要 Ⅰ
    英文摘要 Ⅲ
    目錄 Ⅴ
    表目錄 ⅤII
    圖目錄 ⅤIII
    符號說明XI
    第一章、緒論1
        1-1 前言 1
        1-2 文獻回顧 3
        1-3 研究方向 10
    第二章、理論模式 12
        2-1動力論(Kinetic Theory)與 有限擴散聚集       (Diffusion-Limited Aggregation,DLA) 12
        2-2 達西定律15
    第三章、數值方法 19
        3-1網路模型(Network Model) 20
        3-2亂向步進子與位移機率強度 20
        3-3多重格點法 22
        3-4數值流程(part I) 25
    第四章、實 驗 過 程 27
        4-1實驗原理(毛細壓力的量測法) 27
        4-2實驗裝置 29
        4-2-1 實驗材料 30
        4-2-2 實驗設備 31
        4-3實驗步驟32
        4-4 注意事項 33
    第五章、結 果 與 討 論35
        5-1 毛細壓力與製程參數間之實驗關係式 35
        5-2 算例的訂定與製程參數探討 37
        5-2-1 氣泡形成機制 38
        5-2-2 氣泡特性與分佈 39
    第六章、結 論47
    參考文獻 49
    附錄 一、動力論對流體運動的描述 60
    附錄 二、多重格點法(multi-grid method)64
    表 67
    圖 68
    Reference 1. B. T. Åström, R. B. Pipes ,and S. G. Advani, "On Flow through Aligned Beds and Its Application to Composites Processing", J. of Composite Material, 20, 1351-1373(1992).
    2. B. R. Gebart, "Permeability of Unidirectional Reinforcements for RTM", J. of Composite Materials, 26 (8), 1101-1133 (1992).
    3. J. G. Williams, C. E. Morris, M. and B. C. Ennis, "Liquid Flow through Aligned Fiber Beds", Polymer Engineering Science, 14, 413-419 (1974).
    4. R. C. Lam, and J. L. Kardos, "The Permeabiltiy and Compressibility of Aligned and Cross-plied Carbon Fiber Beds During Processing of Composites", ANTEC ‘89, 1408-1412(1989).
    5. L. J. Broutman and R. H. Krock, "Modern Composite Materials", Addison-Wesley Publishing Company, Reading, MA, (1967)
    6. M. V. Bruschke, "A Predictive Model for Permeability and Non-isothermal Flow of Viscous and Shear-thinning Fluids in Anisotropic Fibrous Media", Ph.D. thesis, University of Delaware, Newark, U.S.A (1992).
    7. T. G. Gutowski, Z. Cai, S. Bauer, D. Boucher, J. Kingery, and S. Wineman, "Consolidation Experiments for Laminate Composites", J. of Composite Material, 21, 650-669(1987).
    8. L. Skartsis and J. L. Kardos, "The Newtonian permeability and consolidation of oriented carbon fiber beds", Proceeding America Society For Composites, Fifth Technical Conference, 27-41 (1990).
    9. M. V. Bruschke and S. G. Advani, "A finite Element/Control Volume Approach to Mold Filling in Anisotropy Porous Media", Polymer Composites, 11, 398-405 (1990).
    10. T. A. K. Sadiq, S. G. Advani and R. S. Parnas, "Experimental Investigation of Transverse Flow Through Aligned Cylinders", International J. Multiphase Flow, 21, 755-774 (1995).
    11. J. A. Molnar, L. Trevino, and L. J. Lee, "Liquid Flow In Molds Percolated Fiber Mats", Polymer Composites, 10(6), 414-423(1989).
    12. M. V. Bruschke and S. G. Advani, "RTM: Filling Simulation of Complex Three Dimensional Shell-like Structures", SAMPE QUARTERLY, 2-11, October (1991).
    13. L. Trevino, K. Rupel, W. B. Young, M. J. Liou and L. J. Lee, "Analysis of Resin Injection Molding in Molds with Preplaced Fiber Mats I: Permeability and Compressibility Measurements", Polymer Composites, 12, 20-29 (1991).
    14. K. Han, L. Trevino, W. B. Young, L. J. Lee and M. J. Liou, "Fiber Mat Deformation During Mold filling in Structural RIM", The 46th Annual Conference of the Composites Institute of the Society of the Plastics Industry Inc.,18-21, February (1991).
    15. K. J. Ahn and J. C. Seferis, " Simultaneous Measurements of Permeability and Capillary Pressure of Thermosetting Matrices in Woven Fabric Reinforcements", Polymer Composites, 12, 146-152(1991).
    16. C. W. Chan and S.T. Hwang, "Modeling Nonisothermal Impregnation of Fibrous Media With Reactive Polymer Resin", Polymer Engineering and Science, 32, 310-318(1992).
    17. A. W. Chan and D. E. Larive and R J. Morgan, "Anisotropic Permeability of Faber Preforms: Constant Flow Rate Measure", J. of Composite Material, 27, 996-1008 (1993).
    18. Z. Cai and A. L. Berdichevsky,Numerical Simulation on the Permeability Variations of a Fiber Assembly", Polymer Composites, 14, 529-539(1993).
    19. A. L. Berdichevsky and Z. Cai, "Preform Permeability Predictions by Self-Consistent Method and Finite Element Simulation," Polymer Composites, 14, 132-143 (1993).
    20. Z. Cai and A. L. Berdichevsky, "An Improved Self- Consistent Method for Estimating the Permeability of a Fiber Assembly", Polymer Composites, 14, 314-323 (1993).
    21. K. L. Adams and L. Rebenfeld, "In-Plane Flow of Fluids in Fabrics: Structure/Flow Characterization", Textile Research J., 57,647-654 (1987).
    22. K. L. Adams, B. Miller, and L. Rebenfeld, "Forced In-Plane Flow of an Epoxy Resin in Fibrous Networks", Polymer Engineering Science, 26, 1434-1441 (1986).
    23. T. J. Wang, C. H. Wu and L. J. Lee, "In-Plane Permeability Measurement and Analysis in Liquid Composite Molding", Polymer composites, 15, 278-288 (1994).
    24. K. J. Ahn, J. C. Seferis, J. O. Price, and A. J. Berg, "Permeation Measurements through Prepreg Laminates", Polymer Composites, 27(6), 19-25 (1991).
    25. D.G. Kiriakidis and G. H. Neale, "The Effects of Medium Thickness on The Island Size Distribution in Immiscible Displacement Flow in Porous Media", Chemical Engineering Community, 127-134(1993).
    26. R. S. Parnas and F. R. Phelan Jr., "The Effect of Heterogeneous Porous Media on Mold Filling in Resin Transfer Molding", SAMPE QUARTERLY, 53-60 January (1991).
    27. Albert W. Chan and Roger J. Morgan, "Tow Impregnation during Resin Transfer Molding of Bi-directional Non-woven Fabrics", Polymer Composites, 14(4), 335-340, August 1993.
    28. G. R. Palmese, andV. M. Karbhari, "Effects of Sizing on Microscopic Flow in Resin Transfer Molding", Polymer Composites, 16(4), 313-318(1995).
    29. K. Han, L. J. Lee, and M. J. Liou, "Fiber Mat Deformation in Liquid Composite Molding. II: Modeling", Polymer Composites, 14, 151-160(1993).
    30. L. Skartsis, J. L. Kardos, and B. Khomami, "Polymer Flow through Fibrous Media", Journal of Rheology, 36, 589-620(1992).
    31. A. Hammami, F. Trochu, R. Gauvin, and S. Wirth, "Directional Permeability Measurement of Deformed Reinfircement", Journal of Reinforced Plastics and Composites, 15, 552-562(1996).
    32. K. L. Han, L. J. Lee, and M Liou, "Fiber Mat Deformation in Liquid Composite Molding. I: Experiment Analysis", Ploymer Composites, 14, 144-150(1993).
    33. T. J. Wang, C. H. Wu and L. J. Lee, "In-Plane Permeability Measurement and Analysis in Liquid Composite Molding", Polymer composites, 15, 278-288 (1994).
    34. K. Han, L. Trevino, W. B. Young, L. J. Lee and M. J. Liou, "Fiber Mat Deformation During Mold filling in Structural RIM", The 46th Annual Conference of the Composites Institute of the Society of the Plastics Industry Inc., Feb., 18-21 (1991).
    35. C. J. Wu, L. W. Hourng and J. C. Liao, "Numerical and Experimental Study on the Edge Effect of Resin Transfer Molding", J. of Reinforced Plastics and Composites, 14, 964-722(1995).
    36. C. J. Wu and L. W. Hourng, "Permeable Boundary Condition For Numerical Simulation in Resin Transfer Molding", Polymer Engineering and Science, 35, 1272-1281(1995).
    37. 張智淵, "轉注成型充填過程中氣泡形成之數值模擬",國立中央大學機械工程研究所博士論文(1997).
    38. K. N. Kendall, and C.D. Rudd, "Flow and Cure Phenemena in Liquid Composite Molding", Polymer Composites, 15(5), 334-348(1994).
    39. F. Trochu and R. Gauvin, "Limitations Of A Boundary-Fitted Finite Difference Method For The Simulation Of The Resin Transfer Molding Process", Journal Of Reinforced Plastics and Composites, 11, 772-786(1992).
    40. G. Q. Martin, and J. S. Son, "Fluid Mechanics of Mold for Fiber Reinforced Plastics", Proceeding of the ASM/ESD 2nd Conference on Advanced Composite, Dearborn, Michigan, 149-157(1986).
    41. J. P. Coulter, and S. I. Güçeri, "Resin Impregnation during Composite Manufacturing:"Theory and Experimentation", Composite Science and Technology, 35, 317-330(1989).
    42. R. Gauvin, and M. Chibani, "The Modeling of Mold Filling in Resin Transfer Molding", International Polymer Processing, 1, 43-46(1986).
    43. W. B. Young, K. Rupel, K. Han, L. J. Lee and M. J. Liou, "Analysis of Resin Injection Molding in Molds With Preplaced Fiber Mats. II: Numerical simulation and Experiments of Mold Filling" , Polymer Composites, 12, 30-38 (1991).
    44. M. V. Bruschke, and S. G. Advani, "A Numerical Siumlation of the Resin Transfer Mold Filling Process", Proceedings of the Society of Plastics Engineers 47th. Annual Technical Conference (Antec/’89), 1769-1773(1989).
    45. M. V. Bruschke and S. G. Advani, "A finite Element/Control Volume Approach to Mold Filling in Anisotropic Porous Media", Polymer Composites, 11, 398-405(1990).
    46. M. K. Um and W. I. Lee, "A Study on the Mold Filling Process in Resin Transfer Molding", Polymer Engineering and Science, 31, 765-771(1991).
    47. K. Kurematsu, and M. Koishi, "Kinetic Studies on Void Formation During Liquid Epoxy Resin Impregnation Through Polyester Non-woven Fabric", Colloid and Polymer Science, 263, 454-464(1985).
    48. T. S. Lundstrom, B. R. Gebart and C. Y. Lundemo, "Void Formation in RTM", J. of Reinforced Plastics and Composites, 12, 1339-1349(1993).
    49. R.J. Crowson, A. J. Scott, and D. W. Saunders, "Rheology of Short Glass Fiber-Reinforced Thermoplastics and Its Application to Injection Molding.III", Polymer Engineering and Science. 21(12), 748-754(1981).
    50. A. D. Mahale, R. K. Prud'homme and L. Rebenfeld, "Quantitative Measurement of Voids Formed During Liquid Impregnation of Non-woven Multifilament Glass Networks Using an Optical Visualization Technique", Polymer Engineering and Science, 32, 319- 326(1992).
    51. Y. T. Chen, C. W. Macosko and H. T. Daves, "Wetting of Fiber Mats for Composites Manufacturing: II. Air Entrapment Model”, AICHE J., 41, 2274-2281(1995).
    52. N.Patel, V. Rohatgi and L. J. LLee, "Micro Scale Flow Behavior and Void Formation Mechanism During Impregnation Through a Undirection Stitched Fiberglass Mat", Polymer Engineering and Science, 35, 837-851(1995).
    53. R. C. Brown, " A Many Fiber Model of Airflow Through a Fibrous Filter", J. of Aerosol Science, 15, 583-593(1984) .
    54. J. S. Hayward and B. Harris, "Effect of Process Variables on The Quality of RTM Mouldings", SAMPE J., 26, 39-46(1990).
    55. Stabler, W. R., Tatterson, G. B., Sadler, R. L. and El-Shiekh, Aly H. M., "Void Minimization in the Manufacture of Carbon Fiber Composites by Resin Transfer Molding", SAMPE QUARTERLY, April, 38-42 (1992).
    56. S. Levine and G. H. Neale, "Theory of the Rate of Wetting of a Porous Medium", Faraday Transactions 2, 71, 12-21(1975).
    57. N. Patel and L. J. Lee. "Modeling of Void Formation and Removal in Liquid Composite Molding. Part I: Wettability Analysis", Polymer Composites, 17, 96-103(1996).
    58. N. Patel and L. J. Lee. "Modeling of Void Formation and Removal in Liquid Composite Molding. Part II: Model Development and Implementation", Polymer Composites, 17, 104-114(1996).
    59. K. M. Pillai and S. G. Advani, "A Model for Unsaturated Flow in Woven Fiber Preforms during Mold Filling in Resin Transfer Molding", J. of Composite Materials, 32(19), 1753-1783(1998).
    60. R. Byron Bird, R. C. Armstrong, Ole Hassager, Charles F. Curtiss, "Dynamics of Polymeric Liquids- Vol. 2 , Kinetic Theory", Wiley Interscience(1987).
    61. T. A. Witten and L. M. Sander, "Diffusion-limited Aggregation", The American Physical Society, 5686-5697(1983).
    62. 廖致欽,"轉注成型之滲透率的量測與流場之觀察",國立中央大學機械工程研究所機械論文(1994).
    63. 吳清振,"轉注成型充填過程中邊際效應之數值模擬",國立中央大學機械工程研究所博士論文(1995).
    64. P. E. Collins, "Flow of Fluids Through Porous Materials", Chapman & Hall Ltd., London (1961).
    65. K. M. Ng, and A. C. Payatakes, "Stochastic Simulation of the Motion, Breakup and Stranding of Oil Ganglia in Water-Wet Granular Porous Media during Immiscible Displacement", AIChE J., 26(3), 419-429(1980).
    66. G. P. Androutsopoulos and R. Mann, "Evaluation of Mercury Porosimeter Experiments Using a Network Pore Structure Model", Chemical Engineering Science, 34, 1203-1212(1979).
    67. J. Bear, "Dynamics of Fluids in Porous Media", Dover Publications Inc., New York(1972)
    68. M. M. Dias and A. C. Payatakes, "Network Models for Two-phase Flow in Porous Media: Part1. Immiscible Microdisplacement of Non-wetting Fluids", J. of Fluid Mechanics, 164, 305-336(1986).
    69. Rand Corporation, "A Million Random Digits with 100,000 Normal Deviates", Glencoe, IL: Free Press. (1955).
    70. D. S. Burnett, "Finite Element Analysis From Comcepts to Applications", Addison-Wesley Publishing Company, Singapore (1987).
    71. P. D. Thomas and J. F. Middlecoff, "Direct Control of the Grid Point Distribution in Meshes Generated by Elliptic Equation", AIAA Journal, 18, 652-656(1980).
    72. Lloyd I. Osipow, "Surface Chemistry:Theory and Industrial Application", Robert E. Krieger Publishing Company, Hungtington, New York(1972).
    73. N.Patel, V. Rohatgi and L.J.lee, "Micro Scale Flow Behavior and Void Formation Mechanism During Impregnation Through a Unidirection Stitched Fiberglass Mat", Polymer Engineering and Science, 35, 837-851(1995).
    74. 張修銘, "轉注射出成型過程中氣泡成型機制之可視化探討", 國立中央大學機械工程研究所碩士論文(1997)
    75. F. P. Bretherton, "The Motion of Long Bubbles in Tubes", J. Fluid Mechanics, 10, 166-188(1961).
    Advisor
  • Lih-Wu Hourng(洪勵吾)
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    Date of Submission 2003-06-12

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