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 r0, the radius of the inner cylinder.

About the authors

A. M. Blokhin

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: Blokhin@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

E. A. Kruglova

Novosibirsk State University

Email: Blokhin@math.nsc.ru
Russian Federation, Novosibirsk, 630090

B. V. Semisalov

Novosibirsk State University; Institute of Computational Technologies, Siberian Branch

Email: Blokhin@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

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