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

Tsangaris, S; Drikakis, D

dc.contributor.author	Tsangaris, S	en
dc.contributor.author	Drikakis, D	en
dc.date.accessioned	2014-03-01T01:07:38Z
dc.date.available	2014-03-01T01:07:38Z
dc.date.issued	1989	en
dc.identifier.issn	0140-0118	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10085
dc.subject	Anisotropic Elasticity	en
dc.subject	Dispersive Equation	en
dc.subject	Incompressible Fluid	en
dc.subject	Linear Approximation	en
dc.subject	Mathematical Model	en
dc.subject	Theoretical Model	en
dc.subject	Blood Flow	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Biomedical	en
dc.subject.classification	Mathematical & Computational Biology	en
dc.subject.classification	Medical Informatics	en
dc.subject.other	Biological Materials--Blood	en
dc.subject.other	Flow of Fluids--Pulsatile Flow	en
dc.subject.other	Mathematical Models	en
dc.subject.other	Stresses	en
dc.subject.other	Tubes--Elasticity	en
dc.subject.other	Arterial Blood Flow	en
dc.subject.other	Initially Stressed Anisotropic Elastic Tubes	en
dc.subject.other	Pulsating Blood Flow	en
dc.subject.other	Rheology	en
dc.subject.other	Biomedical Engineering	en
dc.subject.other	artery blood flow	en
dc.subject.other	methodology	en
dc.subject.other	nonbiological model	en
dc.subject.other	pulsatile flow	en
dc.subject.other	theoretical study	en
dc.subject.other	Animal	en
dc.subject.other	Arteries	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematics	en
dc.subject.other	Models, Cardiovascular	en
dc.subject.other	Pulsatile Flow	en
dc.subject.other	Regional Blood Flow	en
dc.subject.other	Rheology	en
dc.title	Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02442174	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02442174	en
heal.language	English	en
heal.publicationDate	1989	en
heal.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.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.	en
heal.publisher	PETER PEREGRINUS LTD	en
heal.journalName	Medical and Biological Engineering and Computing	en
dc.identifier.doi	10.1007/BF02442174	en
dc.identifier.isi	ISI:A1989T098500013	en
dc.identifier.volume	27	en
dc.identifier.issue	1	en
dc.identifier.spage	82	en
dc.identifier.epage	88	en