An asymptotic expansion for the high-frequency superposed dynamic viscosity of the Doi-Edwards fluid

B. Bernstein, R. R. Huilgol

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    2 Citations (Scopus)

    Abstract

    It has been observed that when small oscillations are superposed on a steady shearing flow of a polymer fluid, the superposed dynamic viscosity becomes independent of the underlying steady shear rate at high frequencies of oscillation. Previous predictions of such behavior from the BKZ theory depended on the assumption that the linear shear modulus, G(t), can be continued analytically across the imaginary axis in the complex t-plane. It is shown that this cannot be done for a Doi-Edwards fluid and, therefore, that the previous arguments do not apply to this fluid. Nevertheless, a new derivation establishes that the observed high-frequency behavior of the superposed dynamic viscosity is, indeed, predicted by the Doi-Edwards fluid. An asymptotic expansion of the dynamic viscosity is also obtained.

    Original languageEnglish
    Pages (from-to)299-308
    Number of pages10
    JournalInternational Journal of Non-Linear Mechanics
    Volume27
    Issue number2
    DOIs
    Publication statusPublished - Mar 1992

    Bibliographical note

    Funding Information:
    Acknowledgement-We gratefully acknowledge the support given by The Flinders University of South Australia B. Bernstein as a Visiting Research Fellow in 1988, which made it possible to complete this work.

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