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Applied Mathematics and Mechanics

, Volume 8, Issue 9, pp 829–838 | Cite as

The effect of the hydrodynamic interaction on the rheological properties of Hookean dumbbell suspensions in steady state shear flow

  • Fan Xi-jun
Article

Abstract

The diffusion equation for the configurational distribution function of Hookean dumbbell suspensions with the hydrodynamic interaction (HI) was solved, in terms of Galerkin's method, in steady state shear flow; and viscosity, first and second normalstress coefficients and molecular stretching were then calculated. The results indicate that the HI included in a microscopic model of molecules gives rise to a significant effect on the macroscopic properties of Hookean dumbbell suspensions. For example, the viscosity and the first normal stress coefficient, decreasing as shear rate increases, are no longer constant; the second normal-stress coefficient, being negative with small absolute value and shear-rale dependent, is no longer zero; and an additional stretching of dumbbells is yielded by the HI. The viscosity junction and the first normal-stress coefficient calculated from this method are in agreement with those predicted from the self-consistent average method qualitatively, while the negative second normal-stress coefficient from the former seems to be more reasonable than the positive one from the latter.

Keywords

Viscosity Shear Rate Normal Stress Rate Increase Industrial Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Fan Xi-jun
    • 1
  1. 1.Department of Chemial EngineeringZhejiang UniversityHangzhou

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