Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves

S. Tsangaris, D. Drikakis

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.

Original languageEnglish
Pages (from-to)82-88
Number of pages7
JournalMedical & Biological Engineering & Computing
Volume27
Issue number1
DOIs
Publication statusPublished - 1 Jan 1989
Externally publishedYes

Fingerprint

Blood
Fluids
Wave equations
Mathematical models

Keywords

  • Arterial blood flow
  • Initially stressed anisotropic elastic tube
  • Pulsating flow

Cite this

@article{b0c055f26e65474299ede8df13f769cf,
title = "Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves",
abstract = "A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.",
keywords = "Arterial blood flow, Initially stressed anisotropic elastic tube, Pulsating flow",
author = "S. Tsangaris and D. Drikakis",
year = "1989",
month = "1",
day = "1",
doi = "10.1007/BF02442174",
language = "English",
volume = "27",
pages = "82--88",
journal = "Medical and Biological Engineering and Computing",
issn = "0140-0118",
publisher = "Springer Verlag",
number = "1",

}

TY - JOUR

T1 - Pulsating blood flow in an initially stressed, anisotropic elastic tube

T2 - linear approximation of pressure waves

AU - Tsangaris, S.

AU - Drikakis, D.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.

AB - A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.

KW - Arterial blood flow

KW - Initially stressed anisotropic elastic tube

KW - Pulsating flow

UR - http://www.scopus.com/inward/record.url?scp=0024569706&partnerID=8YFLogxK

U2 - 10.1007/BF02442174

DO - 10.1007/BF02442174

M3 - Article

C2 - 2779302

AN - SCOPUS:0024569706

VL - 27

SP - 82

EP - 88

JO - Medical and Biological Engineering and Computing

JF - Medical and Biological Engineering and Computing

SN - 0140-0118

IS - 1

ER -