Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube

Comptes Rendus - Mecanique

Volumn 330, Issue 10, 2002, Pages 661-666

  Čanić, Sunčica ^a   Mikelić, Andro ^b  

^a University of Houston   (United States)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

Creeping blood flow; Fluid mechanics; Viscoelasticity

Indexed keywords

BLOOD FLOW; CHANNEL FLOW; EQUATION; INCOMPRESSIBLE FLOW; MEDICAL APPLICATION; VISCOELASTICITY;

ARTERY BLOOD FLOW; ARTICLE; BLOOD FLOW; BLOOD VESSEL WALL; MEMBRANE MODEL; PRESSURE; TUBE; VISCOELASTICITY; YOUNG MODULUS;

EID: 0036812607     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(02)01517-6     Document Type: Article

References (7)

1. A. Quarteroni, M. Tuveri, A. Veneziani, Computational vascular fluid dynamics: Problems, models and methods. Survey article, Comput. Visual. Sci. 2 (2000) 163-197.
2. M.S. Olufsen, C.S. Peskin, W.Y. Kim, E.M. Pedersen, A. Nadim, J. Larsen, Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions, Ann. Biomed. Engrg. 28 (2000) 1281-1299.
3. P.G. Ciarlet, Plates and junctions in elastic multi-structures, in: RMA, Vol. 14, Masson, Paris, 1990.
4. Y.C. Fung, Biomechanics: Mechanical Properties of Living Tissues, Springer, New York, 1993.
5. S. Čanić, Blood flow through compliant vessels after endovascular repair: Wall deformations induced by the discontinuous wall properties, Comput. Visual. Sci. 4 (3) (2002) 147-155.
6. H. Dridi, Comportement asymptotique des équations de Navier-Stokes dans des domaines applatis, Bull. Sci. Math. 106 (1982) 369-385.
7. W. Jäger, A. Mikelić, On the effective equations for a viscous incompressible fluid flow through a filter of finite thickness, Comm. Pure Appl. Math. LI (1998) 1073-1121.