Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels

Chao Tang, Luoding Zhu, George Akingba, Xi Yun Lu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Motivated by collapse of blood vessels for both healthy and diseased situations under various circumstances in human body, we have performed computational studies on an incompressible viscous fluid past a rigid channel with part of its upper wall being replaced by a deformable beam. The Navier-Stokes equations governing the fluid flow are solved by a multi-block lattice Boltzmann method and the structural equation governing the elastic beam motion by a finite difference method. The mutual coupling of the fluid and solid is realized by the momentum exchange scheme. The present study focuses on the influences of the dimensionless parameters controlling the fluid-structure system on the collapse and self-excited oscillation of the beam and fluid dynamics downstream. The major conclusions obtained in this study are described as follows. The self-excited oscillation can be intrigued by application of an external pressure on the elastic portion of the channel and the part of the beam having the largest deformation tends to occur always towards the end portion of the deformable wall. The blood pressure and wall shear stress undergo significant variations near the portion of the greatest oscillation. The stretching motion has the most contribution to the total potential elastic energy of the oscillating beam.

Original languageEnglish (US)
Pages (from-to)1922-1929
Number of pages8
JournalJournal of Biomechanics
Volume48
Issue number10
DOIs
StatePublished - Jul 16 2015

Fingerprint

Blood vessels
Viscous flow
Blood Vessels
Fluids
Hydrodynamics
Human Body
Blood pressure
Blood Pressure
Fluid dynamics
Pressure
Finite difference method
Navier Stokes equations
Stretching
Shear stress
Flow of fluids
Momentum

Keywords

  • Blood-vessel interaction
  • Collapsible vessel
  • Fluid-structure interaction
  • Self-excited oscillation
  • Wall shear stress

ASJC Scopus subject areas

  • Orthopedics and Sports Medicine
  • Rehabilitation
  • Biophysics
  • Biomedical Engineering

Cite this

Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels. / Tang, Chao; Zhu, Luoding; Akingba, George; Lu, Xi Yun.

In: Journal of Biomechanics, Vol. 48, No. 10, 16.07.2015, p. 1922-1929.

Research output: Contribution to journalArticle

Tang, Chao ; Zhu, Luoding ; Akingba, George ; Lu, Xi Yun. / Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels. In: Journal of Biomechanics. 2015 ; Vol. 48, No. 10. pp. 1922-1929.
@article{7ca13b68464441248511e5eb32ebebf4,
title = "Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels",
abstract = "Motivated by collapse of blood vessels for both healthy and diseased situations under various circumstances in human body, we have performed computational studies on an incompressible viscous fluid past a rigid channel with part of its upper wall being replaced by a deformable beam. The Navier-Stokes equations governing the fluid flow are solved by a multi-block lattice Boltzmann method and the structural equation governing the elastic beam motion by a finite difference method. The mutual coupling of the fluid and solid is realized by the momentum exchange scheme. The present study focuses on the influences of the dimensionless parameters controlling the fluid-structure system on the collapse and self-excited oscillation of the beam and fluid dynamics downstream. The major conclusions obtained in this study are described as follows. The self-excited oscillation can be intrigued by application of an external pressure on the elastic portion of the channel and the part of the beam having the largest deformation tends to occur always towards the end portion of the deformable wall. The blood pressure and wall shear stress undergo significant variations near the portion of the greatest oscillation. The stretching motion has the most contribution to the total potential elastic energy of the oscillating beam.",
keywords = "Blood-vessel interaction, Collapsible vessel, Fluid-structure interaction, Self-excited oscillation, Wall shear stress",
author = "Chao Tang and Luoding Zhu and George Akingba and Lu, {Xi Yun}",
year = "2015",
month = "7",
day = "16",
doi = "10.1016/j.jbiomech.2015.04.011",
language = "English (US)",
volume = "48",
pages = "1922--1929",
journal = "Journal of Biomechanics",
issn = "0021-9290",
publisher = "Elsevier Limited",
number = "10",

}

TY - JOUR

T1 - Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels

AU - Tang, Chao

AU - Zhu, Luoding

AU - Akingba, George

AU - Lu, Xi Yun

PY - 2015/7/16

Y1 - 2015/7/16

N2 - Motivated by collapse of blood vessels for both healthy and diseased situations under various circumstances in human body, we have performed computational studies on an incompressible viscous fluid past a rigid channel with part of its upper wall being replaced by a deformable beam. The Navier-Stokes equations governing the fluid flow are solved by a multi-block lattice Boltzmann method and the structural equation governing the elastic beam motion by a finite difference method. The mutual coupling of the fluid and solid is realized by the momentum exchange scheme. The present study focuses on the influences of the dimensionless parameters controlling the fluid-structure system on the collapse and self-excited oscillation of the beam and fluid dynamics downstream. The major conclusions obtained in this study are described as follows. The self-excited oscillation can be intrigued by application of an external pressure on the elastic portion of the channel and the part of the beam having the largest deformation tends to occur always towards the end portion of the deformable wall. The blood pressure and wall shear stress undergo significant variations near the portion of the greatest oscillation. The stretching motion has the most contribution to the total potential elastic energy of the oscillating beam.

AB - Motivated by collapse of blood vessels for both healthy and diseased situations under various circumstances in human body, we have performed computational studies on an incompressible viscous fluid past a rigid channel with part of its upper wall being replaced by a deformable beam. The Navier-Stokes equations governing the fluid flow are solved by a multi-block lattice Boltzmann method and the structural equation governing the elastic beam motion by a finite difference method. The mutual coupling of the fluid and solid is realized by the momentum exchange scheme. The present study focuses on the influences of the dimensionless parameters controlling the fluid-structure system on the collapse and self-excited oscillation of the beam and fluid dynamics downstream. The major conclusions obtained in this study are described as follows. The self-excited oscillation can be intrigued by application of an external pressure on the elastic portion of the channel and the part of the beam having the largest deformation tends to occur always towards the end portion of the deformable wall. The blood pressure and wall shear stress undergo significant variations near the portion of the greatest oscillation. The stretching motion has the most contribution to the total potential elastic energy of the oscillating beam.

KW - Blood-vessel interaction

KW - Collapsible vessel

KW - Fluid-structure interaction

KW - Self-excited oscillation

KW - Wall shear stress

UR - http://www.scopus.com/inward/record.url?scp=84937525081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937525081&partnerID=8YFLogxK

U2 - 10.1016/j.jbiomech.2015.04.011

DO - 10.1016/j.jbiomech.2015.04.011

M3 - Article

AN - SCOPUS:84937525081

VL - 48

SP - 1922

EP - 1929

JO - Journal of Biomechanics

JF - Journal of Biomechanics

SN - 0021-9290

IS - 10

ER -