Study of the Relations on a Stationary Flat Strong Discontinuity for a Polymeric Liquid

A flat strong discontinuity in a polymer fluid is investigated in the rheological Vinogradov−Pokrovsky model. Relationships for a strong discontinuity are given. The existence of discontinuous stationary solutions of the problem without rotation of the velocity vector at the discontinuity and with r...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2021, Vol.13 (5), p.798-809
Main Authors: Blokhin, A. M., Semenko, R. E.
Format: Article
Language:English
Subjects:
Discontinuity
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Rheological properties
Rotation
Simulation and Modeling
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Summary:A flat strong discontinuity in a polymer fluid is investigated in the rheological Vinogradov−Pokrovsky model. Relationships for a strong discontinuity are given. The existence of discontinuous stationary solutions of the problem without rotation of the velocity vector at the discontinuity and with rotation (rotational discontinuity) is substantiated. Examples of numerical stationary solutions are given.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048221050045