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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 25 (1986), S. 225-238 
    ISSN: 1435-1528
    Keywords: Internal viscosity model ; theta solution ; non-Newtonian viscosity ; complex viscosity ; intrinsic viscosity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract A stress-symmetrized internal viscosity (I.V.) model for flexible polymer chains, proposed by Bazua and Williams, is scrutinized for its theoretical predictions of complex viscosityη * (ω) =η′ − iη″ and non-Newtonian viscosityη (τ), whereω is frequency andτ is shear stress. Parameters varied are the number of submolecules,N (i.e., molecular weightM = NM s ); the hydrodynamic interaction,h *; andφ/f, whereφ andf are the I.V. and friction coefficients of the submolecule. Detailed examination is made of the eigenvaluesλ p (N, h *) and how they can be estimated by various approximations, and property predictions are made for these approximations. Comparisons are made with data from our preceding companion paper, representing intrinsic properties [η], [η′], [η″] in very viscous theta solutions, so that theoretical foundations of the model are fulfilled. It is found that [η′ (ω)] data can be predicted well, but that [η (τ)] data cannot be matched at highτ. The latter deficiency is attributed in part to unrealistic predictions of coil deformation in shear.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1435-1528
    Keywords: Internal viscosity model ; freely jointed chain model ; stiff polymer chains ; oscillatory shear flow ; complex viscosity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Complex viscosity η * = η′-iη″ predictions of the Dasbach-Manke-Williams (DMW) internal viscosity (IV) model for dilute polymer solutions, which employs a mathematically rigorous formulation of the IV forces, are examined in the limit of infinite IV over the full range of frequency ω number of submolecules N, and hydrodynamic interaction h *. Although the DMW model employs linear entropic spring forces, infinite IV makes the submolecules rigid by suppressing spring deformations, thereby emulating the dynamics of a freely jointed chain of rigid links. The DMW η′(ω) and η″(ω) predictions are in close agreement with results for true freely jointed chain models obtained by Hassager (1974) and Fixman and Kovac (1974 a, b) with far more complicated formalisms. The infinite-frequency dynamic viscosity η′∞ predicted by the DMW infinite-IV model is also found to be in remarkable agreement with the calculations of Doi et al. (1975). In contrast to the other freely jointed chain models cited above, however, the DMW model yields a simple closed-form solution for complex viscosity expressed in terms of Rouse-Zimm relaxation times.
    Type of Medium: Electronic Resource
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