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Possible flow regimes of a Newtonian fluid in pipes made of active material

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Abstract

A numerical study is made in the quasione-dimensional inertialess approximation of axisymmetric flow of a Newtonian fluid in a pipe of finite length made of nonlinear active material capable of reducing the corresponding deformations in response to an increase in the tensile stresses. This property is possessed, in particular, by the walls of the smallest arterial vessels, which are equipped with muscle layers. Data are given on the general laws of the exchange of flow regimes in dependence on the mean pressure, the length of the pipe, and certain theological parameters.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 88–93, May–June, 1985.

The author is grateful to S. A. Regirer for useful discussions.

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Skobeleva, I.M. Possible flow regimes of a Newtonian fluid in pipes made of active material. Fluid Dyn 20, 411–415 (1985). https://doi.org/10.1007/BF01049994

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  • DOI: https://doi.org/10.1007/BF01049994

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