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Constitutive equation of co-rotational derivative type for anisotropic-viscoelastic fluid

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Abstract

A constitutive equation theory of Oldroyd fluid B type, i.e. the co-rotational derivative type, is developed for the anisotropic-viscoelastic fluid of liquid crystalline (LC) polymer. Analyzing the influence of the orientational motion on the material behavior and neglecting the influence, the constitutive equation is applied to a simple case for the hydrodynamic motion when the orientational contribution is neglected in it and the anisotropic relaxation, retardation times and anisotropic viscosities are introduced to describe the macroscopic behavior of the anisotropic LC polymer fluid. Using the equation for the shear flow of LC polymer fluid, the analytical expressions of the apparent viscosity and the normal stress differences are given which are in a good agreement with the experimental results of Baek et al. For the fiber spinning flow of the fluid, the analytical expression of the extensional viscosity is given.

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Authors and Affiliations

  1. Res. Lab. of Non-Newtonian Fluid Mechanics, Chengdu Institute of Computer Application, Chinese Academy of Sciences, 610041, Chengdu, China

    Han Shifang

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  1. Han Shifang
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The project supported by the National Natural Science Foundation of China (19832050 and 10372100)

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Shifang, H. Constitutive equation of co-rotational derivative type for anisotropic-viscoelastic fluid. Acta Mech Sinica 20, 46–53 (2004). https://doi.org/10.1007/BF02493572

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  • DOI: https://doi.org/10.1007/BF02493572

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