The decay of suddenly blocked flow in a curved pipe

Journal of Engineering Mathematics

Volumn 63, Issue 2-4, 2009, Pages 241-257

  Clarke, Richard J ^a   Denier, James P ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Blood flow; Curved pipe flow; Transient flow

Indexed keywords

ASYMPTOTIC ANALYSIS; BLOOD; FLUID DYNAMICS; HEMODYNAMICS; PIPE; PIPE FLOW; TRANSITION FLOW;

A-PRIORI; AXIAL PRESSURE GRADIENTS; BLOCKED FLOWS; BLOOD FLOW; CIRCULAR CROSS SECTIONS; CORE FLOWS; CURVED PIPES; CURVED-PIPE FLOW; DIFFUSIVE BOUNDARY LAYERS; FLOW EQUATIONS; FLOW INFORMATIONS; LIMITING CASE; PRESSURE-DRIVEN; TRANSIENT FLOW;

PRESSURE GRADIENT;

EID: 62149104392     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-007-9210-2     Document Type: Article

References (21)

1. Pedley TJ (2003) Mathematical modelling of arterial fluid dynamics. J Eng Math 47:419-444
2. Caro CG, FitzGerald JM, Schroter RC (1971) Atheroma and arterial wall shear - observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc R Soc London Ser B 177:109
3. Dean WR (1928) The stream-line motion of fluid in a curved pipe. Philos Mag 5:673-695
4. Pedley TJ, Kamm RD (1988) The effect of secondary motion of axial transport in oscillatory tube flow. J Fluid Mech 193:347-367
5. Dennis SCR, Ng M (1982) Dual solutions for steady laminar-flow through a curved tube. Q J Mech Appl Math 35:305-324
6. Siggers JH, Waters SL (2005) Steady flows in pipes with finite curvature. Phys Fluid 17:077102
7. Zabielski L, Mestel AJ (1998) Unsteady blood flow in a helically symmetric pipe. J Fluid Mech 10:321-345
8. Waters SL, Pedley TJ (1999) Oscillatory flow in a tube of time-dependent curvature. Part 1. Perturbation to flow in a stationary curved tube. J Fluid Mech 383:327-352
9. Lyne WH (1971) Unsteady viscous flow in a curved pipe. J Fluid Mech 45:13-31
10. Smith FT (1975) Pulsatile flow in curved pipes. J Fluid Mech 71:15-42
11. Chang LJ, Tarbell JM (1985) Numerical-simulations of fully-developed sinusoidal and pulsatile (physiological) flow in curved tubes. J Biomech 12:793-805
12. Weinbaum S, Parker KH (1975) The laminar decay of suddenly blocked channel and pipe flows. J Fluid Mech 69:729-752
13. Komai Y, Tanishita K (1997) Fully developed intermittent flow in a curved tube. J Fluid Mech 347:263-287
14. Hall P, Parker KH (1976) The stability of the decaying flow in a suddenly blocked channel. J Fluid Mech 75:305-314
15. Trefethen LN, Trefethen AE, Reddy SC, Driscoll TA (1993) Hydrodynamic stability without eigenvalues. Science 261:578-584
16. Jewell N, Denier JP (2006) The instability of the flow in a suddenly blocked pipe. QJMAM 59:651-673
17. Liggett JA, Chen LC (1994) Inverse transient analysis in pipe networks. J Hydraul Eng 120:934-955
18. Ghidaoui MS, Mansour S (2002) Efficient treatment of the Vardy-Brown unsteady shear in pipe transients. J Hydraul Eng 128:102-112
19. Pedley TJ (1980) The fluid mechanics of large blood vessels. Cambridge University Press
20. Yearwood TL, Chandran KB (1982) Physiological pulsatile flow experiments in a model of the human aortic arch. J Biomech 15: 683
21. Riley N (1998) Unsteady fully developed flow in a curved pipe. J Eng Math 34: 131-141