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Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders

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Abstract

A boundary value problem for a quasi-linear equation determining the velocity profile of a flow of a polymer fluid in a pipe formed by two coaxial cylinders is considered. On the basis of methods of approximation without saturation, a computational algorithm of increased accuracy is developed, making it possible to solve the problem in a wide range of parameters, including record-low values of r 0, the radius of the inner cylinder.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, 630090, Russia

    A. M. Blokhin, E. A. Kruglova & B. V. Semisalov

  2. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. M. Blokhin

  3. Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    B. V. Semisalov

Authors
  1. A. M. Blokhin
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  2. E. A. Kruglova
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  3. B. V. Semisalov
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Corresponding author

Correspondence to A. M. Blokhin.

Additional information

Original Russian Text © A.M. Blokhin, E.A. Kruglova, B.V. Semisalov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 7, pp. 1184–1197.

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Blokhin, A.M., Kruglova, E.A. & Semisalov, B.V. Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders. Comput. Math. and Math. Phys. 57, 1181–1193 (2017). https://doi.org/10.1134/S0965542517070053

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  • DOI: https://doi.org/10.1134/S0965542517070053

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