The effect of the hydrodynamic interaction on the rheological properties of Hookean dumbbell suspensions in steady state shear flow |
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| Authors: | Fan Xi-jun |
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| Affiliation: | Department of Chemial Engineering, Zhejiang University, Hangzhou |
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| 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. |
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| Keywords: | potential equation mechanical quadrature method Richardson extrapolation algorithm a posteriori error estimate |
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