Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov–Pokrovski model)

Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov–Pokrovski model) Full article

Journal

Physics of Fluids
ISSN: 1070-6631 , E-ISSN: 1089-7666

Output data

Year: 2024, Volume: 36, Number: 9, Article number : 093115, Pages count : 21 DOI: 10.1063/5.0227933

Funding (2)

1	Sobolev Institute of Mathematics	FWNF-2022-0008
2	Russian Science Foundation	24-21-00192

We study a linear stability of a resting state for flows of incompressible viscoelastic fluid in an infinite cylindrical channel under the influence of an external uniform magnetic field directed parallel to the cylinder axis (we use a generalized rheological Vinogradov-Pokrovski model as mathematical model) in a class of axisymmetric periodic along the axial variable flows. We establish that for some values of the parameters in the case of an absolute conductivity b m = 0 , the magnetic field can substantially lessen the real part of an exponent for perturbations of the radial velocity component, which is the main element of the instability development. For general case b m ≠ 0 , we justify the possibility of removing the instability based on the performed calculations.

Tkachev D.L. , Yegitov A.V. , Biberdorf E.A.
Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov–Pokrovski model)
Physics of Fluids. 2024. V.36. N9. 093115 :1-21. DOI: 10.1063/5.0227933 WOS Scopus РИНЦ OpenAlex

Submitted:	Jul 11, 2024
Accepted:	Aug 27, 2024
Published print:	Sep 17, 2024
Published online:	Sep 17, 2024

Web of science:	WOS:001314649000022
Scopus:	2-s2.0-85205674501
Elibrary:	74429030
OpenAlex:	W4402568416

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