Simulation of Flow Induced Crystallization in Fiber Spinning Using the Radial Resolution Approximation

REFERENCES

• Rao , I. J. and Rajagopal , K. R. 2002 . A Thermodynamic Framework for the Study of Crystallization in Polymers, Angew Z. . Math. Phys. , vol. 53 : pp. 365 – 406 . [CSA]
   Google Scholar
• Rao , I. J. and Rajagopal , K. R. 2005 . Simulation of the Film Blowing Process for Semicrystalline Polymers, Mechanics of Advanced Materials and Structures . vol. 12 ( no. 2 ) : pp. 129 – 146 . [CSA]
   Google Scholar
• Kannan , K. , Rao , I. J. and Rajagopal , K. R. 2002 . A Thermomechanical Framework for the Glass Transition Phenomenon in Certain Polymers and its Application to Fiber Spinning . J. Rheol. , vol. 46 : pp. 979 – 999 . [CROSSREF] [CSA]
   Google Scholar
• Kannan , K. and Rajagopal , K. R. in press . Simulation of Fiber Spinning Including Flow Induced Crystallization . J. Rheol. , [CSA]
   Google Scholar
• Ziabicki , A. 1976 . Fundamentals of Fiber Formation , London : John Wiley and Sons .
   Google Scholar
• Landau , L. D. 1967 . On the Theory of Phase Transitions (in Collected Papers) , pp. 193 – 216 . New York : Gordon and Breach .
   Google Scholar
• Pearson , J. R. A. 1985 . Mechanics of Polymer Processing , London : Elsevier Applied Science Publishers .
   Google Scholar
• Vassilatos , G. , Schmelzer , E. R. and Denn , M. M. 1992 . Issues Concerning the Rate of Heat Transfer from a Spinline . Intern. Polymer Processing , vol. 7 : pp. 144 – 150 . [CSA]
   Google Scholar
• Patel , R. M. , Bheda , J. H. and Spruiell , J. E. 1991 . Dynamics and Structure Development during High Speed Melt Spinning of Nylon 6. II. Mathematical Modeling . J. Appl. Polym. Sci. , vol. 42 : pp. 1671 – 1682 . [CROSSREF] [CSA]
   Google Scholar
• Bheda , J. H. and Spruiell , J. E. 1990 . Dynamics and Structure Development During High Speed Melt Spinning of Nylon 6. I. On-line Experimental Measurements . J. Appl. Polym. Sci. , vol. 39 : pp. 447 – 463 . [CROSSREF] [CSA]
   Google Scholar
• Zieminski , K. F. and Spruiell , J. E. 1988 . On-line Studies and Computer Simulations of the Melt Spinning of Nylon-66 Filaments . J. Appl. Polym. Sci. , vol. 35 : pp. 2223 – 2245 . [CROSSREF] [CSA]
   Google Scholar
• Sun , J. , Subbiah , S. and Marchal , J. M. 2000 . Numerical Analysis of Nonisothermal Viscoelastic Melt Spinning with Ongoing Crystallization . J. Non-Newtonian Fluid Mech. , vol. 93 : pp. 133 – 151 . [CROSSREF] [CSA]
   Google Scholar
• Kase , S. and Matsuo , T. 1967 . Studies on Melt Spinning II Steady-state and Transient Solutions of Fundamental Equations Compared with Experimental Results . J. Appl. Polym. Sci. , vol. 11 : pp. 251 – 287 . [CROSSREF] [CSA]
   Google Scholar
• Fisher , R. J. and Denn , M. M. 1977 . Mechanics of Non-isothermal Polymer Melt Spinning . AIChe. , vol. 23 : pp. 23 – 28 . [CROSSREF] [CSA]
   Google Scholar
• Gagon , D. K. and Denn , M. M. 1981 . Computer Simulation of Steady Polymer Melt Spinning . Polym. Eng. Sci. , vol. 21 : pp. 844 – 853 . [CROSSREF] [CSA]
   Google Scholar
• Ottone , M. L. and Deiber , J. A. 2000 . Modeling the Melt Spinning of Polyethylene Terephthalate . J. Elastomers Plast. , vol. 32 : pp. 119 – 139 . [CROSSREF] [CSA]
   Google Scholar
• Doufas , A. K. , McHugh , A. J. and Miller , C. 2000 . Simulation of Melt Spinning Including Flow-induced Crystallization Part I Model Development and Predictions . J. Non-Newtonian Fluid Mech. , vol. 92 : pp. 27 – 66 . [CROSSREF] [CSA]
   Google Scholar
• Doufas , A. K. , McHugh , A. J. , Miller , C. and Immaneni , A. 2000 . Simulation of Melt Spinning Including Flow-induced Crystallization Part II Quantitative Comparisons with Industrial Spinline Data . J. Non-Newtonian Fluid Mech. , vol. 92 : pp. 81 – 103 . [CROSSREF] [CSA]
   Google Scholar
• Haberkorn , H. , Hahn , K. , Breuer , H. , Dorrer , H. D. and Matthies , P. 1993 . On the Neck-like Deformation in High-speed Spun Polyamides . J. Appl. Polym. Sci. , vol. 47 : pp. 1551 – 1579 . [CROSSREF] [CSA]
   Google Scholar
• Oldroyd , J. G. 1950 . On the Formulation of Rhelogical Equation of State . Proc. Roy. Soc. London , vol. A200 : pp. 523 – 591 . [CSA]
   Google Scholar
• Treloar , L. R. G. 1975 . The Physics of Rubber Elasticity , pp. 64 – 84 . Oxford : Clarendon press .
   Google Scholar
• Srinivasa , A. R. 2000 . Flow Characteristics of a Multiconfigurational, Shear Thinning Viscoelastic Fluid with Particular Reference to the Orthogonal Rheometer . Theor. Comp. Fluid Dyn. , vol. 13 : pp. 305 – 325 . [CROSSREF] [CSA]
   Google Scholar
• Nakamura , K. , Watanabe , T. and Katayama , K. 1972 . Some Aspects of Nonisothermal Crystallization of Polymers. I. Relationship between Crystallization Temperature, Crystallinity and Cooling Conditions . J. Appl. Polym. Sci. , vol. 16 : pp. 1077 – 1091 . [CROSSREF] [CSA]
   Google Scholar
• Patel , R. M. and Spruiell , J. E. 1991 . Crystallization Kinetics During Polymer Processing - Analysis of Available Approaches for Process Modeling . Polym. Eng. Sci. , vol. 31 : pp. 730 – 738 . [CROSSREF] [CSA]
   Google Scholar
• Gaur , U. , Lau , S. , Wunderlich , B. B. and Wunderlich , B. 1983 . Heat Capacity and Other Thermodynamic Properties of Linear Macromolecules. VIII. Polyesters and Polyamides . J. Phys. Chem. Ref. Data , vol. 12 : pp. 65 – 89 . [CSA]
   Google Scholar
• Wunderlich , B. 1980 . Macromolecular Physics , vol. III , p. 56 New York : Academic Press .
   Google Scholar
• Koyama , K. , Suryadeva , J. and Spruiell , J. E. 1986 . Effect of Molecular Weight on High-speed Melt Spinning of Nylon 6 . J. Appl. Polym. Sci. , vol. 31 : pp. 2203 – 2229 . [CROSSREF] [CSA]
   Google Scholar
• Choi , C. H. and White , J. L. 2000 . Correlation and Modeling of the Occurrence of Different Crystalline Forms of Isotactic Polypropylene as a Function of Cooling Rate and Uniaxial Stress in Thin and Thick Parts . Polym. Eng. Sci. , vol. 40 : pp. 645 – 655 . [CROSSREF] [CSA]
   Google Scholar
• Murase , S. , Matsuda , T. and Hirami , M. 2001 . Intrinsic Birefringence of γ-form Crystal of Nylon 6: Application of Orientation Development in High-speed Spun Fibers of Nylon 6 . Macromol. Mater. Eng. , vol. 286 : pp. 48 – 51 . [CROSSREF] [CSA]
   Google Scholar
• Matsui , M. 1976 . Air Drag on a Continuous Filament in Melt Spinning . Trans. Soc. Rheol. , vol. 20 : pp. 465 – 473 . [CROSSREF] [CSA]
   Google Scholar
• White , F. M. 2003 . Fluid Mechanics , p. 24 New York : Mc-Graw-Hill Publications .
   Google Scholar