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Waves of finite amplitude during relaxation in viscoelastic fluids containing gas bubbles

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Abstract

An analysis is made of perturbations propagated during relaxation through a viscoelastic fluid containing gas bubbles. On the basis of a single-velocity homogeneous model for the medium, with the wavelength λ much larger than the distance δ between bubbles and than the radius R of these bubbles (λ»δ»R), an equation is derived which describes the development of a velocity perturbation in the mixture. The results are then compared with the behavior of a perturbation wave in a Newtonian fluid with gaseous inclusions.

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Literature cited

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Computer Center, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Mekhanika Polimerov, No. 6, pp. 1130–1132, November–December, 1974.

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Gasenko, V.G., Roitman, A.Y. & Sobolev, V.V. Waves of finite amplitude during relaxation in viscoelastic fluids containing gas bubbles. Polymer Mechanics 10, 974–975 (1974). https://doi.org/10.1007/BF00856255

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  • DOI: https://doi.org/10.1007/BF00856255

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