Unsteady flows in pipes with finite curvature

Journal of Fluid Mechanics

Volumn 600, Issue , 2008, Pages 133-165

  Siggers, J H ^a   Waters, S L ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; CORIOLIS FORCE; HEMODYNAMICS; PERTURBATION TECHNIQUES; PIPE FLOW; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS; STRESS CONCENTRATION;

BLOOD FLOW; DEAN NUMBER; WOMERSLEY NUMBER;

UNSTEADY FLOW;

ASYMPTOTIC ANALYSIS; CORIOLIS FORCE; HEMODYNAMICS; PERTURBATION TECHNIQUES; PIPE FLOW; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS; STRESS CONCENTRATION; UNSTEADY FLOW;

CORIOLIS FORCE; CURVATURE; FLUID FLOW; PIPE FLOW; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS; UNSTEADY FLOW;

EID: 41549167758     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200800030X     Document Type: Article

References (27)

1. BERGER, S. A., TALBOT, L. & YAO, L.-S. 1983 Flow in curved tubes. Annu. Rev. Fluid Mech. 15, 461-512.
2. BLENNERHASSETT, P. J. 1976 Secondary motion and diffusion in unsteady flow in a curved pipe. PhD thesis, Imperial College, London.
3. CARO, C. G., FITZGERALD, J. M. & SCHROTER, R. C. 1971 Atheroma and arterial wall shear - observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc. R. Soc. Lond. B 177, 109-159.
4. CHANDRAN, K. B., YEARWOOD, T. L. & WIETING, D. W. 1979 An experimental study of pulsatile flow in a curved tube. J. Biomech. 12, 793-805.
5. CHANG, L.-J. & TARBELL, J. M. 1985 Numerical simulation of fully developed sinusoidal and pulsatile (physiological) flow in curved tubes. J. Fluid Mech. 161, 175-198.
6. DEAN, W. R. 1928 The stream-line motion of fluid in a curved pipe. Phil. Mag. 5, 673-695.
7. GLENDINNING, P. 1994 Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations. Cambridge University Press.
8. HADDON, E. W. 1982 A high Reynolds number flow with closed streamlines. In Eighth Intl Conf. on Numerical Methods in Fluid Dynamics, Aachen. Lecture Notes in Physics, vol. 170. Springer.
9. HAMAKIOTES, C. C. & BERGER, S. A. 1990 Periodic flows through curved tubes - the effect of the frequency parameter. J. Fluid Mech. 210, 353-370.
10. ITO, H. 1987 Flow in curved pipes. JSME Intl J. 30, 543-552.
11. LIN, H. Y. & TARBELL, J. M. 1980 An experimental and numerical study of periodic flow in a curved tube. J. Fluid Mech. 100, 623-638.
12. LYNE, W. H. 1971 Unsteady viscous flow in a curved pipe. J. Fluid Mech. 45, 13-31.
13. VAN MEERVELD, J. & WATERS, S. L. 2001 Numerical computation of the steady secondary flow in a tube with time-dependent curvature. Q. J. Mech. Appl. Maths 54, 631-640.
14. MULLIN, T. & GREATED, C. A. 1980 Oscillatory flow in curved pipes. Part 2. The fully developed case. J. Fluid Mech. 98, 397-416.
15. PEDLEY, T. J. 1980 The Fluid Mechanics of Large Blood Vessels Cambridge University Press.
16. SIGGERS, J. H. & WATERS, S. L. 2005 Steady flows in pipes with finite curvature. Phys. Fluids 17, 077102.
17. SMITH, F. T. 1975 Pulsatile flow in curved pipes. J. Fluid Mech. 71, 15-42.
18. STEINMAN, D. A. 2002 Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann. Biomed. Engng 30, 483-497.
19. STUART, J. T. 1966 Double boundary layers in oscillatory viscous flows. J. Fluid Mech. 24, 673-687.
20. SUDO, K., SUMIDA, M. & YAMANE, R. 1992 Secondary motion of fully developed oscillatory flow in a curved pipe. J. Fluid Mech. 237 189 208.
21. SUGAWARA, M., KAJIYA, F., KITABATAKE, A. & MATSUO, H. 1989 Blood Flow in the Heart and Large Vessels. Springer.
22. SWANSON, C. J., STALP, S. R. & DONNELLY, R. J. 1993 Experimental investigation of periodic flow in curved pipes. J. Fluid Mech. 256, 69-83.
23. TADA, S., OSHIMA, S. & YAMANE, R. 1996 Classification of pulsating flow patterns in curved pipes. Trans. ASME K: J. Biomech. Engng 118, 311-317.
24. TRUESDELL, L. C. & ADLER, R. J. 1970 Numerical treatment of fully developed laminar flow in helically coiled tubes. AIChE J. 16 1010-1015.
25. WINTERS, K. H. 1987 A bifurcation study of laminar flow in a curved tube of rectangular cross-section. J. Fluid Mech. 180 343-369.
26. ZABIELSKI, L. & MESTEL, A. J. 1998a Steady flow in a helically symmetric pipe. J. Fluid Mech. 370, 297-320.
27. ZABIELSKI, L. & MESTEL, A. J. 1998b Unsteady blood flow in a helically symmetric pipe. J. Fluid Mech. 370, 321-345.