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

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Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov-Pokrovski model). / Tkachev, D. L.; Yegitov, A. V.; Biberdorf, E. A.

In: Physics of Fluids, Vol. 36, No. 9, 093115, 01.09.2024.

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

BibTeX

@article{3370318b402d455399a09e541640acf9,

title = "Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov-Pokrovski model)",

abstract = "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. ",

author = "Tkachev, {D. L.} and Yegitov, {A. V.} and Biberdorf, {E. A.}",

year = "2024",

month = sep,

day = "1",

doi = "10.1063/5.0227933",

language = "English",

volume = "36",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "9",

}

RIS

TY - JOUR

T1 - Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov-Pokrovski model)

AU - Tkachev, D. L.

AU - Yegitov, A. V.

AU - Biberdorf, E. A.

PY - 2024/9/1

Y1 - 2024/9/1

N2 - 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.

AB - 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.

UR - https://www.mendeley.com/catalogue/832daafc-a960-3cff-a7a1-7e77116f2263/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205674501&origin=inward&txGid=e1029523cbb6f6acceb6d1390adf2ac7

U2 - 10.1063/5.0227933

DO - 10.1063/5.0227933

M3 - Article

VL - 36

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 9

M1 - 093115

ER -

ID: 60815822