Fluid flow of incompressible viscous fluid through a non-linear elastic tube

Lazopoulos, A; Tsangaris, S

dc.contributor.author	Lazopoulos, A	en
dc.contributor.author	Tsangaris, S	en
dc.date.accessioned	2014-03-01T01:28:24Z
dc.date.available	2014-03-01T01:28:24Z
dc.date.issued	2008	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18846
dc.subject	fluid flow	en
dc.subject	elastic membrane	en
dc.subject	nonlinear elastic material	en
dc.subject	linear elastic material	en
dc.subject	fluid flow membrane interaction	en
dc.subject.classification	Mechanics	en
dc.subject.other	NAVIER-STOKES EQUATIONS	en
dc.subject.other	NUMERICAL-SIMULATION	en
dc.subject.other	COLLAPSIBLE CHANNEL	en
dc.subject.other	FINITE-DIFFERENCE	en
dc.subject.other	STEADY FLOW	en
dc.subject.other	MEMBRANE	en
dc.subject.other	WALL	en
dc.subject.other	MECHANICS	en
dc.title	Fluid flow of incompressible viscous fluid through a non-linear elastic tube	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-008-0205-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-008-0205-x	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The study of viscous flow in tubes with deformable walls is of specific interest in industry and biomedical technology and in understanding various phenomena in medicine and biology (atherosclerosis, artery replacement by a graft, etc) as well. The present work describes numerically the behavior of a viscous incompressible fluid through a tube with a non-linear elastic membrane insertion. The membrane insertion in the solid tube is composed by non-linear elastic material, following Fung's (Biomechanics: mechanical properties of living tissue, 2nd edn. Springer, New York, 1993) type strain-energy density function. The fluid is described through a Navier-Stokes code coupled with a system of non linear equations, governing the interaction with the membrane deformation. The objective of this work is the study of the deformation of a non-linear elastic membrane insertion interacting with the fluid flow. The case of the linear elastic material of the membrane is also considered. These two cases are compared and the results are evaluated. The advantages of considering membrane nonlinear elastic material are well established. Finally, the case of an axisymmetric elastic tube with variable stiffness along the tube and membrane sections is studied, trying to substitute the solid tube with a membrane of high stiffness, exhibiting more realistic response.	en
heal.publisher	SPRINGER	en
heal.journalName	ARCHIVE OF APPLIED MECHANICS	en
dc.identifier.doi	10.1007/s00419-008-0205-x	en
dc.identifier.isi	ISI:000259367200005	en
dc.identifier.volume	78	en
dc.identifier.issue	11	en
dc.identifier.spage	895	en
dc.identifier.epage	907	en