Steady flows in pipes with finite curvature

Physics of Fluids

Volumn 17, Issue 7, 2005, Pages 1-18

  Siggers, J H ^a   Waters, Sarah L ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BLOOD; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PIPE FLOW; SHEAR STRESS;

BLOOD FLOW; CENTRIFUGAL EFFECT; CURVED PIPES; FINITE CURVATURE;

STEADY FLOW;

PIPE FLOW;

EID: 23044456234     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1955547     Document Type: Article

References (25)

1. C. G. Caro, J. M. FitzGerald, and R. C. Schroter, "Atheroma and arterial wall shear-observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis," Proc. R. Soc. London, Ser. BPRLBA40962-8452 177, 109 (1971).
2. D. A. Steinman, "Image-based computational fluid dynamics modeling in realistic arterial geometries," Ann. Biomed. Eng.ABMECF0090-696410.1114/1.1467679 30, 483 (2002).
3. S. A. Berger, L. Talbot, and L.-S. Yao, "Flow in curved tubes," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fl.15.010183.002333 15, 461 (1983).
4. H. Ito, "Flow in curved pipes," JSME Int. J.JIJOEA0913-185X 30, 543 (1987).
5. T. J. Pedley, The Fluid Mechanics of Large Blood Vessels (Cambridge University Press, Cambridge, 1980).
6. W. R. Dean, "The stream-line motion of fluid in a curved pipe," Philos. Mag.PHMAA40031-8086 5, 673 (1928).
7. W. M. Collins and S. C. R. Dennis, "The steady motion of a viscous fluid in a curved tube," Q. J. Mech. Appl. Math.QJMMAV0033-5614 28, 133 (1975).
8. P. Daskopoulos and A. M. Lenhoff, "Flow in curved ducts: bifurcation structure for stationary ducts," J. Fluid Mech.JFLSA70022-1120 203, 125 (1989).
9. S. C. R. Dennis and M. Ng, "Dual solutions for steady laminar-flow through a curved tube," Q. J. Mech. Appl. Math.QJMMAV0033-5614 35, 305 (1982).
10. D. J. McConalogue and R. S. Srivastava, "Motion of a fluid in a curved tube," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 307, 37 (1968).
11. S. Yanase, N. Goto, and K. Yamamoto, "Dual solutions of the flow through a curved tube," Fluid Dyn. Res.FDRSEH0169-5983 5, 191 (1989).
12. Z.-h. Yang and H. B. Keller, "Multiple laminar flows through curved pipes," Appl. Numer. Math.ANMAEL0168-927410.1016/ S0168-9274(97)00071-8 2, 257 (1986).
13. H. C. Topakoglu, "Steady laminar flows of an incompressible viscous fluid in curved pipes," J. Math. Mech.JOMMAN0095-9057 16, 1321 (1967).
14. J. Larrain and C. F. Bonilla, "Theoretical analysis of pressure drop in the laminar flow of fluid in a coiled pipe," Trans. Soc. Rheol.TSRHAZ0038-003210.1122/1.549184 14, 135 (1970).
15. L.-J. Chang and J. M. Tarbell, "Numerical-simulation of fully-developed sinusoidal and pulsatile (physiological) flow in curved tubes," J. Fluid Mech.JFLSA70022-1120 161, 175 (1985).
16. C. C. Hamakiotes and S. A. Berger, "Periodic flows through curved tubes-the effect of the frequency parameter," J. Fluid Mech.JFLSA70022-1120 210, 353 (1990).
17. K. Sudo, M. Sumida, and R. Yamane, "Secondary motion of fully-developed oscillatory flow in a curved pipe," J. Fluid Mech.JFLSA70022-1120 237, 189 (1992).
18. K. B. Chandran and T. L. Yearwood, "Experimental study of physiological pulsatile flow in a curved tube," J. Fluid Mech.JFLSA70022-1120 111, 59 (1981).
19. L. Talbot and K. O. Gong, "Pulsatile entrance flow in a curved pipe," J. Fluid Mech.JFLSA70022-1120 127, 1 (1983).
20. T. L. Yearwood and K. B. Chandran, "Physiological pulsatile flow experiments in a model of the human aortic arch," J. Biomech.JBMCB50021-929010.1016/0021-9290(82)90023-9 15, 683 (1982).
21. H. Ito, "Laminar flow in curved pipes," Z. Angew. Math. Mech.ZAMMAX0044-2267 49, 653 (1969).
22. L. C. Truesdell and R. J. Adler, "Numerical treatment of fully developed laminar flow in helically coiled tubes," AIChE J.AICEAC0001-154110.1002/aic.690160625 16, 1010 (1970).
23. T. J. Pedley, "Mathematical modelling of arterial fluid dynamics," J. Eng. Math.JLEMAU0022-0833 47, 419 (2003).
24. M. Sugawara, F. Kajiya, A. Kitabatake, and H. Matsuo, Blood Flow in the Heart and Large Vessels (Springer-Verlag, Tokyo, (1989).
25. D. Greenspan, "Secondary flow in a curved tube," J. Fluid Mech.JFLSA70022-1120 57, 167 (1973).