Spectrum of a problem about the flow of a polymeric viscoelastic fluid in a cylindrical channel (Vinogradov-Pokrovski model) Conference Abstracts
Conference |
Advances in Applications of Analytical
Methods for Solving Differential
Equations (Symmetry 2024) 22-26 Jan 2024 , Таиланд |
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Source | Advances in Applications of Analytical Methods for Solving Differentail Equations (Symmetry 2024) : Book of abstracts Compilation, 2024. |
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Output data | Year: 2024, Pages: 77 Pages count : 1 | ||
Authors |
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Affiliations |
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Funding (1)
1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We study the linear stability of a resting state for flows of incompressible viscoelastic polymeric fluid in an infinite cylindrical channel in axisymetric perturbation class. We use structurally-phenomenological Vinogradov-Pokrovski model as our mathematical model . We formulate two equations that define the spectrum of the problem. Our numerical experiments show that with the growth of perturbations frequency along the channel axis there appear eigenvalues with positive real part for the radial velocity component of the first spectral equation. That guarantees linear Lyapunov instability of the resting state.
Cite:
Tkachev D.L.
, Biberdorf É.A.
Spectrum of a problem about the flow of a polymeric viscoelastic fluid in a cylindrical channel (Vinogradov-Pokrovski model)
In compilation Advances in Applications of Analytical Methods for Solving Differentail Equations (Symmetry 2024) : Book of abstracts. 2024. – C.77.
Spectrum of a problem about the flow of a polymeric viscoelastic fluid in a cylindrical channel (Vinogradov-Pokrovski model)
In compilation Advances in Applications of Analytical Methods for Solving Differentail Equations (Symmetry 2024) : Book of abstracts. 2024. – C.77.
Dates:
Published print: | Jan 31, 2024 |
Published online: | Jan 31, 2024 |
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