Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls

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Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls. / Kozlov, Vladimir; Nazarov, Sergei; Zavorokhin, German.

In: Journal of Mathematical Fluid Mechanics, Vol. 23, No. 3, 79, 08.2021.

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

Author

Kozlov, Vladimir ; Nazarov, Sergei ; Zavorokhin, German. / Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls. In: Journal of Mathematical Fluid Mechanics. 2021 ; Vol. 23, No. 3.

BibTeX

@article{112cb92225984521b26ab4f12bccb49e,

title = "Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls",

abstract = "We exploit a two-dimensional model (Ghosh et al. in Q J Mech Appl Math 71(3):349–367, 2018; Kozlov and Nazarov in Dokl Phys 56(11):560–566, 2011, J Math Sci 207(2):249–269, 2015) describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic flows in an infinite cylinder with such intricate boundary conditions. The main result is that solutions of this problem do not depend on the period and they are nothing else but the time independent Poiseuille flow. Similar solutions of the Stokes equations for the rigid wall (the no-slip boundary condition) depend on the period and their profile depends on time.",

keywords = "Blood vessel with elastic walls, Demension reduction procedure, Periodic in time flows, Poiseuille flow, ASYMPTOTIC ANALYSIS, NAVIER-STOKES EQUATIONS, ONE-DIMENSIONAL MODEL, BLOOD-FLOW",

author = "Vladimir Kozlov and Sergei Nazarov and German Zavorokhin",

note = "Kozlov, V., Nazarov, S. & Zavorokhin, G. Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls. J. Math. Fluid Mech. 23, 79 (2021). https://doi.org/10.1007/s00021-021-00607-w",

year = "2021",

month = aug,

doi = "10.1007/s00021-021-00607-w",

language = "English",

volume = "23",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkh{\"a}user Verlag AG",

number = "3",

}

RIS

TY - JOUR

T1 - Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls

AU - Kozlov, Vladimir

AU - Nazarov, Sergei

AU - Zavorokhin, German

N1 - Kozlov, V., Nazarov, S. & Zavorokhin, G. Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls. J. Math. Fluid Mech. 23, 79 (2021). https://doi.org/10.1007/s00021-021-00607-w

PY - 2021/8

Y1 - 2021/8

N2 - We exploit a two-dimensional model (Ghosh et al. in Q J Mech Appl Math 71(3):349–367, 2018; Kozlov and Nazarov in Dokl Phys 56(11):560–566, 2011, J Math Sci 207(2):249–269, 2015) describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic flows in an infinite cylinder with such intricate boundary conditions. The main result is that solutions of this problem do not depend on the period and they are nothing else but the time independent Poiseuille flow. Similar solutions of the Stokes equations for the rigid wall (the no-slip boundary condition) depend on the period and their profile depends on time.

AB - We exploit a two-dimensional model (Ghosh et al. in Q J Mech Appl Math 71(3):349–367, 2018; Kozlov and Nazarov in Dokl Phys 56(11):560–566, 2011, J Math Sci 207(2):249–269, 2015) describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic flows in an infinite cylinder with such intricate boundary conditions. The main result is that solutions of this problem do not depend on the period and they are nothing else but the time independent Poiseuille flow. Similar solutions of the Stokes equations for the rigid wall (the no-slip boundary condition) depend on the period and their profile depends on time.

KW - Blood vessel with elastic walls

KW - Demension reduction procedure

KW - Periodic in time flows

KW - Poiseuille flow

KW - ASYMPTOTIC ANALYSIS

KW - NAVIER-STOKES EQUATIONS

KW - ONE-DIMENSIONAL MODEL

KW - BLOOD-FLOW

UR - http://www.scopus.com/inward/record.url?scp=85110649867&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/31c13ece-56f5-3506-9c9f-8cfdaf796d3c/

U2 - 10.1007/s00021-021-00607-w

DO - 10.1007/s00021-021-00607-w

M3 - Article

AN - SCOPUS:85110649867

VL - 23

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

SN - 1422-6928

IS - 3

M1 - 79

ER -

ID: 88365737