1. General rigid bead-rod theory for steady-shear flow.
- Author
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Giacomin, A. J., Coombs, S. J., Pak, Myong Chol, and Kim, Kwang-Il
- Subjects
POLYMER solutions ,HEAT equation ,ANALYTICAL solutions ,VISCOSITY - Abstract
General rigid bead-rod theory yields uniquely the relation between macromolecular architecture and complex viscosity. For this, it relies on the analytical solution of the general diffusion equation for small-amplitude oscillatory shear flow of Bird et al. [Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987), Vols. 1–2]. Unfortunately, this general diffusion equation has yet to be solved for any other flow field. In this paper, we do so for steady-shear material functions, namely, viscosity and first normal stress coefficient. We, thus, explain the non-Newtonian behaviors of macromolecular suspensions of any axisymmetric design in steady-shear flow. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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