Non-Newtonian Intrinsic Viscosity of Coiled Polymers at a Theta Temperature

概要

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A theory based on an equivalent rigid ellipsoid model is presented to explain the shear gradient dependence of intrinsic viscosity of polymers such as polystyrene. An ensemble of independent coiled polymers in a dilute solution, at a θ temperature, is assumed to be replaced by that of hydrodynamically equivalent rigid ellipsoides with various dimensions, For each ellipsoid, one makes use of results of Saito's and Scheraga's theories for the non-Newtonian viscosity of ellipsoidal particles. Ratios of the intrinsic viscosty at gradients G to that at zero-gradient are numerically computed as a function of (1.47/kT) (<L^2>_0/M)^<3/2>M^<3/2>η_0G, without the aid of any other ajustable parameters. Here M is the molecular weight of the polymer, <L^2>_0 is its mean square end-to-end distance isn an unperturbed state, and η_0 is the viscosity of the solvent. The result is compared with other theories and with experiments made near θ temperatures. An agreement between theory and data on viscosity of monodisperse polystyrene by Passaglia et al. is satisfactory.
社団法人日本物理学会の論文
1964-11-05