Approach to generalization of concentration dependence of zero‐shear viscosity in polymer solutions

Abstract

The possibility of constructing zero‐shear viscosity master curves valid for the entire range of concentration for a large number of polymer solutions in different solvents independent of molecular weight and the nature of the solvent is considered. The results obtained show that the parameters characterizing the individual macromolecular chain., viz., the dimensions of the polymer coil and the rheological effectiveness of segmental interactions, are significant in determining the viscosity of polymer solutions from very dilute to highly concentrated ones. The relation between the parameter of rheological interaction and characteristics of polymer solutions such as the flexibility of the polymer chain and the Flory‐Huggins parameter is discussed. This permits one to separate the influence of the energy and entropy factors on the concentration dependence of zero‐shear viscosity.

On-Line Optimizing Control of Bulk Polymerizations: 1. Development of a Software Sensor

“…A few such correlations are available in the open literature. Dreval et al (1973) showed that experimental data on polymer solutions for different polymer-solvent combinations can be satisfactorily described by the Martin equation (Davis and Elliott, 1955) over a wide range of conditions. This equation involved a parameter, K M , which, it was suggested, should be taken as a curve-fit parameter so that the correlation could describe data up to reasonably high polymer concentrations.…”

Neutral Polymeric Surfactants Derived from Dextran: A Study of Their Aqueous Solution Behavior

“…When plotting the specific viscosity (Z sp ) as a function of the overlap parameter (C[Z]), [39] a unique curve is obtained for the various dextran samples ( Figure 2). For polymers in good solvent, it has been shown that this curve is well fitted by a polynomial equation [40][41][42][43][44] In Equation (7),…”

Newtonian Viscosity of Dilute, Semidilute, and Concentrated Polymer Solutions

“…(1.106) may be used to identify the concentration at which entanglement constraints become dominant in determining chain mobility. Thus, as shown in Figure 1.12, using data of Dreval et al [1973] on hydroxypropylcellulose solutions in water, Phillies and Quinlan [1995] find a crossover from stretched-exponential to power-law concentration dependence, η ∼ c ε , signifying what they term a solutionlike-meltlike transition in polymer dynamics. As shown in Figure 1.12, the crossover occurs at the concentration c[η] ∼ 20 (i.e., considerably in excess of the overlap concentration, c * [η] ∼ 1.0).…”