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Pressure Losses in Power-Law Fluid Flow through a Tube of Variable Cross-Section

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Abstract

Steady laminar flow of an incompressible power-law fluid is a tube with an obstacle of given shape is numerically simulated. The mathematical description of the process is based on the vortex transport equation and the Poisson equation for the stream function, while the rheological properties of the medium are described by the Ostwald—de Waele power law. The steady solution of the problem is obtained using a time-dependent method based on the finite-difference approximation of the governing equations. The pressure distribution is determined by numerically solving the Poisson equation. A parametric investigation of the kinematic and dynamic flow parameters, as functions of the control parameters of the problem, is performed for non-Newtonian media. The effect of the Reynolds number, the nonlinearity exponent, and the obstacle geometry on the coefficient of the local fluid resistance is demonstrated.

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Funding

The study is carried out with the financial support of the Russian Science Foundation (project 18-19-00021).

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Authors and Affiliations

  1. Tomsk State University, pr. Lenina 36, 634050, Tomsk, Russia

    E. I. Borzenko, I. A. Ryl’tsev & G. R. Schrager

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  1. E. I. Borzenko
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  2. I. A. Ryl’tsev
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  3. G. R. Schrager
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Correspondence to I. A. Ryl’tsev.

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The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

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Translated by M. Lebedev

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Borzenko, E.I., Ryl’tsev, I.A. & Schrager, G.R. Pressure Losses in Power-Law Fluid Flow through a Tube of Variable Cross-Section. Fluid Dyn 56, 1–9 (2021). https://doi.org/10.1134/S001546282101002X

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  • DOI: https://doi.org/10.1134/S001546282101002X

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