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Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids

II. Theoretical approach based on the Oldroyd theory

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Summary

Oldroyd's differential equation for elastico-viscous fluids is used to calculate the elements of the shear stress tensor for a shearing type of flow innon-Newtonian solutions in which an oscillatory shear flow is super-imposed on a steady state shear flow. A qualitative agreement with experimental results is obtained even for the very special case where all the time constants, except the stress relaxation time λ1, are supposed to be equal to zero. It is concluded that the differential equation relating stresses and strain for viscoelastic fluids subjected to large deformation has to be defined in a convected co-ordinate system, related by means of total derivatives, e. g. theJaumann derivatives, to the fixed system of reference.

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  1. H. C. Booij

    Present address: Central Laboratory, Dutch State Mines, Geleen, Netherlands

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    1. H. C. Booij
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    Booij, H.C. Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids. Rheol Acta 5, 222–227 (1966). https://doi.org/10.1007/BF01982431

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