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哑铃式聚合物分子模型流变学数值研究 被引量:4

NUMERICAL INVESTIGATION ON DUMBBELL MOLECULE MODELS IN POLYMER RHEOLOGY
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摘要 本文介绍了求解哑铃式分子模型位形空间分布函数扩散方程的数值方法,以及用这种方法计算的若干分子模型的流变性质。在通常情况下,将这一方法与求解流动守恒方程的边界元法相结合,便有可能用一个得不到本构方程的分子模型去代替连续介质力学本构方程,来模拟聚合物流体的复杂流动。本文还讨论了这一方法某些令人感兴趣的特点。 A numerical method to solve the diffusion equation in configuration space for the distribution function of dumbbell models is described and the rheo-logical propcrli.cs of several models are calctilaled by using the method. This method is combined with the boundary clement method for solving the conservation equations in fluid dynamics in general cases. It is possible to use a molecular model which has no relevant constitutive equation to lake the place of the constitutive equation in continuum mechanics for numerical simulation of complex-flows of polymer liquids. The interesting features of the method arc discussed.
作者 范西俊
出处 《力学进展》 EI CSCD 北大核心 1990年第1期11-23,共13页 Advances in Mechanics
关键词 哑铃式聚合物分子模型 流变学 数值方法 分布函数 物质函数 dumbbell model distribution junction material function Galerkin method boundary element method steady planar flow
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参考文献2

  • 1范西俊.水力学相互作用对虎克哑铃分子模型稀溶液流变性质的影响[J]应用数学和力学,1987(09).
  • 2N. Phan-Thien,O. Manero,L. G. Leal. A study of conformation-dependent friction in a dumbbell model for dilute solutions[J] 1984,Rheologica Acta(2):151~162

同被引文献43

  • 1Keunings R. Micro-macro methods for the muhiscale simulation of viscoelastic flow using molecular models of kinetic theory//Binding D M, Waiters K. Rheology Reviews 2004. UK: British Society of Rheology, 2004, 67 98.
  • 2Suen J K C. Multiscale simulation of viscoelastic flows: applications to kinetic theory models of polymer melts and liquid crystalline polymers [D]. Madison: University of Wisconsin, 2002.
  • 3Lozinski A, Chauvi6re C, Fang J, Owens R G. Fokker- Planck simulations of fast flows of melts and concentrated polymer solutions in complex geometries. Journal of Rheology, 2003, 47 (2): 535-561.
  • 4Chauviere C, Lozinski A. Simulation of dilute polymer solutions using a Fokker Planck equation. Computers Fluids, 2004, 33 (5/6): 687-696.
  • 5Lozinski A, Chauviere C. A fast solver for Fokker Planck equation applied to viscoelastic flows calculations: 2D FENE model. Journal of Computational Physics, 2003,189 (2): 607-625.
  • 6Chauviere C, Lozinski A. Simulation of complex viscoelastic flows using the Fokker-Planck equation: 3D FENE model. Journal of Non-Newtonian Fluid Mechanics, 2004, 122 (1/2/3): 201-214.
  • 7Lozinski A, Owens R G, Fang J. A Fokker-Planck-based numerical method for modelling strongly non homogeneous flows of dilute polymeric solutions. Journal of Non Newtonian Fluid Mechanics, 2003, 122 ( 1/2/3 ) : 273-286.
  • 8Lozinski A. Spectral methods for kinetic theory models of viscoelastic fluids [D]. Lausanne"Ecole Polytchnique Federale de Lausanne, 2003.
  • 9Nayak R. Molecular simulation of liquid crystal polymer flow: a wavelet finite element analysis [D] . Boston.- Massachusetts Institute of Technology, 1998.
  • 10JiangTiqian(江体乾).Rheology of Chemical Industry and Engineering(化工流变学).Shanghai:East China University of Scienceand Technology Press,2004:464.

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