One-dimensional model of viscoelastic blood flow through a thin elastic vessel

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One-dimensional model of viscoelastic blood flow through a thin elastic vessel. / Kozlov, V.A.; Nazarov, S.A.

In: Journal of Mathematical Sciences, No. 2, 2015, p. 249-269.

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

BibTeX

@article{ea412f3a029e4c5993e78dac0d825c66,

title = "One-dimensional model of viscoelastic blood flow through a thin elastic vessel",

abstract = "{\textcopyright} 2015 Springer Science+Business Media New York.Based on the three-dimensional Oldroyd viscoelastic fluid model, we develop a simple linear one-dimensional model of blood flow through a thin blood vessel with an elastic multilayer cylindrical wall. Unlike known models, the obtained system of integrodifferential equations with respect to the variables z and t (the longitudinal coordinate ant time) includes the Volterra operator in t, which takes into account the relaxation effect of stresses in a pulsating flow of blood regarded as a many-component viscoelastic fluid. We construct a simplified differential model corresponding to “short-term memory.” We study the effect of high-amplitude longitudinal oscillations of wall under a dissection (lamination). Bibliography: 24 titles. Illustrations: 1 figure.",

author = "V.A. Kozlov and S.A. Nazarov",

year = "2015",

doi = "10.1007/s10958-015-2370-0",

language = "English",

pages = "249--269",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - One-dimensional model of viscoelastic blood flow through a thin elastic vessel

AU - Kozlov, V.A.

AU - Nazarov, S.A.

PY - 2015

Y1 - 2015

N2 - © 2015 Springer Science+Business Media New York.Based on the three-dimensional Oldroyd viscoelastic fluid model, we develop a simple linear one-dimensional model of blood flow through a thin blood vessel with an elastic multilayer cylindrical wall. Unlike known models, the obtained system of integrodifferential equations with respect to the variables z and t (the longitudinal coordinate ant time) includes the Volterra operator in t, which takes into account the relaxation effect of stresses in a pulsating flow of blood regarded as a many-component viscoelastic fluid. We construct a simplified differential model corresponding to “short-term memory.” We study the effect of high-amplitude longitudinal oscillations of wall under a dissection (lamination). Bibliography: 24 titles. Illustrations: 1 figure.

AB - © 2015 Springer Science+Business Media New York.Based on the three-dimensional Oldroyd viscoelastic fluid model, we develop a simple linear one-dimensional model of blood flow through a thin blood vessel with an elastic multilayer cylindrical wall. Unlike known models, the obtained system of integrodifferential equations with respect to the variables z and t (the longitudinal coordinate ant time) includes the Volterra operator in t, which takes into account the relaxation effect of stresses in a pulsating flow of blood regarded as a many-component viscoelastic fluid. We construct a simplified differential model corresponding to “short-term memory.” We study the effect of high-amplitude longitudinal oscillations of wall under a dissection (lamination). Bibliography: 24 titles. Illustrations: 1 figure.

U2 - 10.1007/s10958-015-2370-0

DO - 10.1007/s10958-015-2370-0

M3 - Article

SP - 249

EP - 269

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 4011935