Asymmetrical effects in a 2D stenosis

European Journal of Mechanics, B/Fluids

Volumn 26, Issue 1, 2007, Pages 83-92

  Lagree P Y ^a   Van Hirtum, A ^b   Pelorson, X ^b  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

^b GRENOBLE INSTITUTE OF TECHNOLOGY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; LAMINAR FLOW; NAVIER STOKES EQUATIONS; PRESSURE EFFECTS; REYNOLDS NUMBER;

ASYMMETRICAL EFFECTS; BIDIMENSIONAL CHANNELS; FLUID PRESSURE EXPRESSION; STENOSIS;

BOUNDARY LAYERS;

EID: 33845449454     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2006.05.003     Document Type: Article

References (25)

1. Berger S.A., and Jou L.-D. Flows in stenotic vessels. Annu. Rev. Fluid Mech. 32 (2000) 347-382
2. Siegel J.M., Markou C.P., Ku D.N., and Hanson S.R. A scaling law for wall shear stress through an arterial stenosis. ASME J. Biomech. Engrg. 116 (1994) 446-451
3. Luo X.Y., and Pedley T.J. The effects of the wall inertia on the 2-D collapsible channel flow. J. Fluid Mech. 363 (1998) 253-280
4. Budwig R., Elger D., Hooper H., and Slippy J. Steady flow in abdominal aortic aneurysm models. J. Biomech. Engrg. 115 (1998) 419-423
5. Shome B., Wang L., Santare M., Prasad A., Szeri A., and Roberts D. Modeling of airflow in the pharynx with application to sleep apnea. J. Biomech. Engrg. 120 3 (1998) 416-422
6. Pelorson X., Hirschberg A., van Hassel R.R., Wijnands A.P.J., and Auregan Y. Theoretical and experimental study of quasisteady flow separation within the glottis during phonation. J. Acoust. Soc. Am. 96 (1994) 3416-3431
7. Lorthois S., Lagrée P.-Y., Marc-Vergnes J.-P., and Cassot F. Maximal wall shear stress in arterial stenoses: Application to the internal carotid arteries. J. Biomech. Engrg. 122 6 (2000) 661-666
8. Lagrée P.-Y., Berger E., Deverge M., Vilain C., and Hirschberg A. Characterization of the pressure drop in a 2D symmetrical pipe: some asymptotical, numerical and experimental comparisons. ZAMM 85 2 (2005) 141-146
9. Lagrée P.-Y., and Lorthois S. The RNS/Prandtl equations and their link with other asymptotic descriptions. Application to the computation of the maximum value of the Wall Shear Stress in a pipe. Int. J. Engrg. Sci. 43 3-4 (2005) 352-378
10. de Bruin B., Lagrée P.-Y., Lorthois S., Vilain C., and Veldman A.E.P. Comparison of Navier Stokes and reduced Navier Stokes unsteady computation in a stenosis. Arch. Physiol. Biochem. 109 (2001) 79
11. Kalse S.G.C., Bijl H., and van Oudheusden B.W. One-dimensional viscous-inviscid strong interaction model for flow in indented channels with separation and reattachment. J. Biomech. Engrg. 125 3 (2003) 355-362
12. Cebeci T., and Cousteix J. Modeling and Computation of Boundary Layer Flows (1999), Springer-Verlag
13. Sychev V.V., and Ruban A.I. (1998), Cambridge University Press (378 p.)
14. Veldman A.E.P. Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction. J. Engrg. Math. 39 1 (2001) 189-206
15. Van Dyke M. Perturbation Methods in Fluid Mechanics (1975), Parabolic Press
16. Dechaume A., Cousteix J., and Mauss J. An interactive boundary layer model compared to the triple deck theory. Eur. J. Mech. B Fluids 24 4 (2005) 439-447
17. Cousteix J., and Mauss J. Approximations of the Navier-Stokes equations for high Reynolds number flows past a solid wall. J. Comput. Appl. Math. 166 1 (2004) 101-122
18. Cousteix J., and Mauss J. Analyse asymptotique et couche limite. Math. Appl. 56 XII (2006) 396
19. H. Paillère, F. Dabbene, Initiation à la simulation numérique en mécanique des fluides à l'aide de Castem 2000, Éditions ENSTA
20. Schlichting H. Boundary Layer Theory. seventh ed. (1987), McGraw-Hill
21. Rubin S.G., and Tannehill J.C. Parabolized/reduced Navier-Stokes computational techniques. Annu. Rev. Fluid Mech. 24 (1992) 117-144
22. Gersten K., and Hervig H. Strömungsmechanik: Grundlagen der Impuls-Wärme-und Stoffübertragung aus asymptotischer Sicht (1992), Vieweg, Wiesbaden
23. Smith F.T. Flow through constricted or dilated pipes and channels, part 1 and 2. Quart. J. Mech. Appl. Math. 29 (1976) 343-364 365-376
24. Sobey I.J. Introduction to Interactive Boundary Layer Theory. Oxford Applied and Engineering Mathematics (2000), Oxford University Press (256 p.)
25. Le Balleur J.C. Couplage visqueux non-visqueux : méthode numérique et applications aux écoulement bidimensionnels transsoniques et supersoniques. Recherche Aérospatiale 2 (1978) 67-76 (Eng Trans ESA TT-496)