Nonlinear analysis of flow in an elastic tube (artery) steady streaming effects

Journal of Fluid Mechanics

Volumn 239, Issue , 1992, Pages 341-358

  Wang, D M ^a   Tarbell, J M ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972066486     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112092004439     Document Type: Article

References (27)

1. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. CARO, C. G., PEDLEY, T. J. S CHROTER R. C. & SEED W. A., 1978 The Mechanics of the Circulation. Oxford University Press.
3. DRAGON, G. A. & GROTBERG, J. B. 1991 Oscillatory flow and mass transport in a flexible tube. J. Fluid Mech. 231, 135–155.
4. DUTTA, A. & TARBELL, J. M. 1989 Numerical simulation of sinusoidal flow in a straight elastic tube: effects of phase angles. Biorheol. 26, 1–22.
5. FUNG, Y. C. 1968 Peristaltic transport. Trans. ASME E: J. Appl. Mech. 35, 669–675.
6. GROTBERG, J. B. 1984 Volume-cycled oscillatory flow in a tapered channel. J. Fluid Mech. 141, 249–264.
7. HALL, P. 1974 Unsteady viscous flow in a pipe of slowly varying CROSS-section. J. Fluid Mech. 64, 209–226.
8. KU, D. N., GIDDENS, D. P., ZARINS C. K. & GLAGOV S. 1985 Pulsatile flow and atherosclerosis in the human carotid bifurcation. Arteriosclerosis 5, 293–302.
9. LING, S. C. & ATABEK, H. B. 1972 A nonlinear analysis of pulsatile flow in arteries. J. Fluid Mech. 55, 493–511.
10. LONGUET-HIGGINS, M. S. 1953 Mass transport in water waves. Phil. Trans. R. Soc. Lond. A245, 535–581.
11. MCDONALD, W. A. 1974 Blood Flow in Arteries. Baltimore: Williams and Wilkins Co.
12. MERCANT, G. J. & DAVIS, S. H. 1989 Modulated stagnation-point flow and steady streaming. J. Fluid Mech. 198, 543–555.
13. MERILLON, J. P. FONTENIER G.J. LERALLUT J. F., JAFFRIN M.Y., MOTTE, G. A., GENAIN C. P. & GOURGON R. R. 1982 Aortic input impedance in normal man and arterial hypertension: Its modifications during changes in aortic pressure. Cardiovasc. Res. 16, 646–656.
14. NEREM, R. M. & LEVESQUE, M. I. 1987 In Handbook of Bioengineering, pp. 21–22. McGraw-Hill.
15. NISHIMURA, T., ARAKAWA, S., MURAKAMI, S. & KAWAMURA, Y. 1989 Oscillatory viscous flow in symmetric wavy-walled channels. Chem. Eng. Sci. 44, 2137–2148.
16. PADMANABHAN, N. & PEDLEY, T. J. 1987 Three-dimensional steady streaming in a uniform tube with an oscillating elliptical CROSS-section. J. Fluid Mech. 178, 325–343.
17. RILEY, N. 1965 Oscillating viscous flows. Mathematika 12, 161–175.
18. RILEY, N. 1975 Unsteady laminar boundary layers. SIAM Rev. 17, 274–297.
19. SCHLICHTING, H. 1932 Berechnung Ebener Periodischer Grenzschichtstromungen. Phys. Z. 33, 327–335.
20. SCHLICHTING, H. 1979 Boundary Layer Theory, Ch. 15, pp. 431–432. McGraw-Hill.
21. SECOMB, T.W. 1978 Flow in a channel with pulsating walls. J. Fluid Mech. 8, 273–288.
22. STUART, J. T. 1966 Double boundary layers in oscillatory flow. J. Fluid Mech. 24, 673–687.
23. TAYLOR, M. G. 1957 An approach to an analysis of the arterial pulse wave — I. Oscillations in an attenuating line. Phys. Med. Biol. 1, 258–269.
24. VAN DYKE, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
25. WOMERSLEY, J. R. 1955 Oscillatory motion of a viscous liquid in a thin-walled elastic tube — I. The linear approximation for long waves. Phil. Mag. (7) 46, 199–221.
26. WOMERSLEY, J. R. 1957a Oscillatory flow in arteries the constrained elastic tube as a model of arterial flow and pulse transmission. Phys. Med. Biol. 2, 178–187.
27. WOMERSLEY, J. R. 1957b An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. WADC Tech. Rep. 56–614.