Modeling of diffusion through polymeric membranes

被引:0
作者
Quan Liu
D. De Kee
机构
[1] Tulane University,Department of Chemical and Biomolecular Engineering and Tulane Institute for Macromolecular Engineering and Science (TIMES)
来源
Rheologica Acta | 2005年 / 44卷
关键词
Diffusion; Hamiltonian formulation; Dissipation bracket;
D O I
暂无
中图分类号
学科分类号
摘要
Diffusion, coupled with rheology, of a simple fluid through a complex polymeric membrane is modeled using the Poisson and dissipation bracket formalism. A set of governing equations describing the time evolution of concentration, flux, and internal structure of the complex polymeric membrane is obtained. Two parameters, which characterize the importance of elasticity and mixing properties, appear in the governing equations. An extension of Fick’s second law is derived for the flux evolution. The model describes the diffusion process quantitatively quite well.
引用
收藏
页码:287 / 294
页数:7
相关论文
共 25 条
  • [1] Alfrey A(1966)Rheology and diffusion in simple and complex fluids J Polym Sci Part C Polym Symp 12 249-275
  • [2] Beris M(1990)Isothermal nonstandard diffusion in a two-component fluid mixture. A Hamiltonian approach J Rheol 34 55-390
  • [3] Curtiss G(1996)undefined Proc Natl Acad Sci USA 93 7440-undefined
  • [4] De M(2000)undefined J Appl Polym Sci 78 1250-undefined
  • [5] Durning A(1986)undefined Macromolecules 19 2220-undefined
  • [6] Durning G(1996)undefined AIChE J 42 2025-undefined
  • [7] El undefined(2002)undefined J Rheol 46 591-undefined
  • [8] El undefined(2002)undefined Can J Chem Eng 80 1197-undefined
  • [9] El Afif undefined(1999)undefined J Non-Newtonian Fluid Mech 86 253-undefined
  • [10] Grmela undefined(1991)undefined J Appl Polym Sci 43 709-undefined