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HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS. / Liapidevskii, V. Yu; Neverov, V. V.; Karmushin, S. R.

In: Journal of Applied Mechanics and Technical Physics, Vol. 65, No. 5, 08.04.2025, p. 895-906.

Research output: Contribution to journal › Article › peer-review

Harvard

Liapidevskii, VY, Neverov, VV & Karmushin, SR 2025, 'HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS', Journal of Applied Mechanics and Technical Physics, vol. 65, no. 5, pp. 895-906. https://doi.org/10.1134/S0021894424050110

APA

Liapidevskii, V. Y., Neverov, V. V., & Karmushin, S. R. (2025). HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS. Journal of Applied Mechanics and Technical Physics, 65(5), 895-906. https://doi.org/10.1134/S0021894424050110

Vancouver

Liapidevskii VY, Neverov VV, Karmushin SR. HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS. Journal of Applied Mechanics and Technical Physics. 2025 Apr 8;65(5):895-906. doi: 10.1134/S0021894424050110

Author

Liapidevskii, V. Yu ; Neverov, V. V. ; Karmushin, S. R. / HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS. In: Journal of Applied Mechanics and Technical Physics. 2025 ; Vol. 65, No. 5. pp. 895-906.

BibTeX

@article{f7c0e56498cf46778ecd111847731f07,
title = "HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS",
abstract = "ABSTRACT: Unsteady one-dimensional shear flows of a viscoelastic fluid are considered. A general approach is formulated for fluids with several relaxation times, which allows the known models of viscoelastic flows to be presented as evolutionary systems of first-order equations. Conditions of hyperbolicity of flow classes considered are found for the Johnson–Segalman, Giesekus, and Rolie-Poly models. The equations of motion of the viscoelastic fluid are presented in the form of a full nonlinear system of conservation laws. A method of calculating unsteady discontinuous flows within the framework of the models under consideration is proposed. The class of unsteady Couette flows in the gap between the cylinders used in rheological tests is studied numerically. The process of shear banding and its influence on the structure of steady flows are investigated. The numerical results obtained are compared with experimental data.",
keywords = "hyperbolic models, rheology, unsteady shear flows, viscoelasticity",
author = "Liapidevskii, {V. Yu} and Neverov, {V. V.} and Karmushin, {S. R.}",
year = "2025",
month = apr,
day = "8",
doi = "10.1134/S0021894424050110",
language = "English",
volume = "65",
pages = "895--906",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS

AU - Liapidevskii, V. Yu

AU - Neverov, V. V.

AU - Karmushin, S. R.

PY - 2025/4/8

Y1 - 2025/4/8

N2 - ABSTRACT: Unsteady one-dimensional shear flows of a viscoelastic fluid are considered. A general approach is formulated for fluids with several relaxation times, which allows the known models of viscoelastic flows to be presented as evolutionary systems of first-order equations. Conditions of hyperbolicity of flow classes considered are found for the Johnson–Segalman, Giesekus, and Rolie-Poly models. The equations of motion of the viscoelastic fluid are presented in the form of a full nonlinear system of conservation laws. A method of calculating unsteady discontinuous flows within the framework of the models under consideration is proposed. The class of unsteady Couette flows in the gap between the cylinders used in rheological tests is studied numerically. The process of shear banding and its influence on the structure of steady flows are investigated. The numerical results obtained are compared with experimental data.

AB - ABSTRACT: Unsteady one-dimensional shear flows of a viscoelastic fluid are considered. A general approach is formulated for fluids with several relaxation times, which allows the known models of viscoelastic flows to be presented as evolutionary systems of first-order equations. Conditions of hyperbolicity of flow classes considered are found for the Johnson–Segalman, Giesekus, and Rolie-Poly models. The equations of motion of the viscoelastic fluid are presented in the form of a full nonlinear system of conservation laws. A method of calculating unsteady discontinuous flows within the framework of the models under consideration is proposed. The class of unsteady Couette flows in the gap between the cylinders used in rheological tests is studied numerically. The process of shear banding and its influence on the structure of steady flows are investigated. The numerical results obtained are compared with experimental data.

KW - hyperbolic models

KW - rheology

KW - unsteady shear flows

KW - viscoelasticity

UR - https://www.mendeley.com/catalogue/f6f407a4-06ea-30a3-b8d9-efd3754804af/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105002910476&origin=inward&txGid=10678353cb2cd5adbc8cf4518a494916

U2 - 10.1134/S0021894424050110

DO - 10.1134/S0021894424050110

M3 - Article

VL - 65

SP - 895

EP - 906

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 5

ER -

ID: 65302529