Abstract
The previously proposed theory of viscoelastic behavior of polymer fluids is compared with experiments on the superposition of low-amplitude shear vibrations on a steady flow. It is shown that the theory agrees satisfactorily with experiments on a single polymer solution. The superposition of a steady shear flow and low-amplitude vibrations can be used to investigate some nonlinear effects characteristic of elastic fluids by relatively simple methods. The literature devoted to this question is fairly extensive; we cite only investigations in which the main results have been obtained [1–3]. The most common experimental scheme is one-dimensional (“parallel” superposition), although there is also a two-dimensional scheme of orthogonal superposition of shear vibrations on steady flows. Since almost all the effects in the second scheme are qualitatively similar to the first [3], but are not so clearly manifested, we give the theoretical and experimental results relating to the parallel scheme in this paper.
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M. G. Tsiprin and L. A. Faitel'son, “Effect of steady flow of a polyisobutylene solution on its dynamic characteristics, measured in the direction of the flow,” Mekh. Polim., No. 5 (1970).
G. V. Vinogradov, Yu. G. Yanovskii, and A. I. Isaev, “Effect of vibrations on polymers,” in: Advances in Polymer Rheology [in Russian], Khimiya, Moscow (1970).
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A. I. Leonov, É. Kh. Lipkina, E. D. Paskhin, and A. N. Prokunin, “Theoretical and experimental investigation of shear strains in elastic polymer fluids,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1975).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 3–7, January–February, 1976.
We are grateful to É. Kh. Lipkina for help in the calculations.
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Leonov, A.I., Paskhin, E.D. & Prokunin, A.N. Superposition of low-amplitude shear vibrations on steady shear flow of an elastic fluid. Fluid Dyn 11, 1–4 (1976). https://doi.org/10.1007/BF01023386
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DOI: https://doi.org/10.1007/BF01023386