| OBTAINING PRECISE CRITICAL DRAW RATIO OF DRAW RESONANCE IN MELT SPINING BY NUMERICAL SIMULATION OF DIFFERENCE EQUATIONS |
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| 作者姓名： | Ji-nanCao |
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| 作者单位： | IndustrialResearchInstituteSwinburne,SwinburneUniversityofTechnology,P.O.Box218Hawthorn,Victoria3122,Australia |
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| 摘 要： | Direct difference methods have been used to solve the simultaneous non-linear partial differential equations for melt spinning without recourse to linearisation or perturbation approximation. The stability of each difference schemes was studied by error analysis using the Taylor series, and by comparison of the results obtained from numerical simulation with the logical value in melt spinning. It is found that computation with 19 digit long double precision has significantly simplified the stability problem of difference equations. Using this method, the precise critical draw ratio of draw resonance in an isothermal and uniform tension spinning of Newtonian fluids can be obtained in between 20.218 and 21.219, a figure consistent with 20.218 which was obtained by a linear perturbation approximation method by Kase and Denn. It thus has paved the way to computation of full information for unsteady melt spinning processes using the difference method.
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| 关 键 词： | 熔融纺丝工艺 数字模拟技术 牛顿流体 稳定性 分子结构 薄膜 聚合物 |
| 收稿时间： | 2004-04-14 |
| 修稿时间： | 2004-05-28 |
OBTAINING PRECISE CRITICAL DRAW RATIO OF DRAW RESONANCE IN MELT SPINING BY NUMERICAL SIMULATION OF DIFFERENCE EQUATIONS |
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| Ji-nanCao.OBTAINING PRECISE CRITICAL DRAW RATIO OF DRAW RESONANCE IN MELT SPINING BY NUMERICAL SIMULATION OF DIFFERENCE EQUATIONS[J].Chinese Journal of Polymer Science,2005,0(3):311-318. |
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| Authors: | Ji-nan Cao |
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| Institution: | Industrial Research Institute Swinburne, Swinburne University of Technology, P.O. Box 218 Hawthorn, Victoria 3122, Australia |
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| Abstract: | Direct difference methods have been used to solve the simultaneous non-linear partial differential equations for melt spinning without recourse to linearisation or perturbation approximation. The stability of each difference schemes was studied by error analysis using the Taylor series, and by comparison of the results obtained from numerical simulation with the logical value in melt spinning. It is found that computation with 19 digit long double precision has significantly simplified the stability problem of difference equations. Using this method, the precise critical draw ratio of draw resonance in an isothermal and uniform tension spinning of Newtonian fluids can be obtained in between 20.218 and 21.219, a figure consistent with 20.218 which was obtained by a linear perturbation approximation method by Kase and Denn. It thus has paved the way to computation of full information for unsteady melt spinning processes using the difference method. |
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| Keywords: | Draw resonance Melt spinning Newtonian fluid Numerical simulation |
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