Three-dimensional impulsive vortex formation from slender orifices

Journal of Fluid Mechanics

Volumn 666, Issue , 2011, Pages 506-520

  Domenichini, F ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

vortex dynamics; wakes jets

Indexed keywords

BIOLOGY; NAVIER STOKES EQUATIONS; ORIFICES; REYNOLDS NUMBER;

AXISYMMETRIC PROBLEMS; INTERMEDIATE PHASE; LIMITING CONDITION; NUMERICAL SOLUTION; TWO DIMENSIONAL NATURE; VORTEX DYNAMICS; VORTICITY DYNAMICS; WAKES/JETS;

VORTEX FLOW;

JET; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; THREE-DIMENSIONAL MODELING; VORTEX; VORTICITY; WAKE;

EID: 79951591777     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010004994     Document Type: Article

References (32)

1. Afanasyev, Y. D. 2006 Formation of vortex dipoles. Phys. Fluids 18, 037103.
2. Brown, C. E. & Michael, W. H. 1954 Effect of leading edge separation on the lift of a delta wing. J. Aeronaut. Sci. 21(10), 690-694, 706.
3. Dabiri, J. O. 2009 Optimal vortex formation as a unifying principle in biological propulsion. Ann. Rev. Fluid Mech. 41, 17-33.
4. Dabiri, J. O. & Gharib, M. 2005a Starting flow through nozzles with temporally variable exit diameter. J. Fluid Mech. 538, 111-136. (Pubitemid 41320347)
5. Dabiri, J. O. & Gharib, M. 2005b The role of optimal vortex formation in biological fluid transport. Proc. R. Soc. B 272, 1557-1560. (Pubitemid 41414688)
6. Domenichini, F. 2008 On the consistency of the direct forcing method in the fractional step solution of the Navier-Stokes equations. J. Comput. Phys. 227 (12), 6372-6384.
7. Domenichini, F., Pedrizzetti, G. & Baccani, B. 2005 Three-dimensional filling flow into a model left ventricle. J. Fluid Mech. 539, 179-198.
8. Domenichini, F., Querzoli, G., Cenedese, A. & Pedrizzetti, G. 2007 Combined experimental and numerical analysis of the flow structure into the left ventricle. J. Biomech. 40, 1988-1994. (Pubitemid 46843006)
9. Gharib, M., Rambod, E., Kheradvar, A., Sahn, D. J. & Dabiri, J. O. 2006 Optimal vortex formation as an index of cardiac health. Proc. Natl Acad. Sci. 103, 6305-6308.
10. Gharib, M., Rambod, E. & Shariff, K. 1998 A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121-140. (Pubitemid 128488583)
11. Graham, J. M. R. 1977 Vortex shedding from sharp edges. I.C. Aero. Rep. 77-06, Department of Aeronautics, Imperial College, London, UK.
12. Grinstein, F. F. 2001 Vortex dynamics and entrainment in rectangular free jets. J. Fluid Mech. 437, 69-101. (Pubitemid 32596297)
13. Hofmans, G. C. J. 1998 Vortex Sound in Confined Flows. Technische Universiteit Eindhoven. Available at: http://alexandria.tue.nl/extra2/9802719. pdf.
14. Hong, G. R., Pedrizzetti, G., Tonti, G., Li, P., Wei, P., Kim, J. K., Bawela, A., Liu, S., Chung, N., Houle, H., Narula, J. & Vannan, M. A. 2008 Characterization and quantification of vortex flow in the human left ventricle. J. Am. Coll. Cardiol. Img. 1, 705-717.
15. Jeong, F. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
16. Kheradvar, A. & Gharib, M. 2009 On mitral valve dynamics and its connection to early diastolic flow. Ann. Biomed. Engng 37, 1-13.
17. Kilner, P. J., Yang, G. Z., Wilkes, A. J., Mohiaddin, R. H., Firmin, D. N. & Yacoub, M. H. 2000 Asymmetric redirection of flow through the heart. Nature 404, 759-761. (Pubitemid 30212402)
18. Krueger, P. S. 2008 Circulation and trajectories of vortex rings formed from tube and orifice openings. Physica D 237, 2218-2222.
19. Krueger, P. S. & Gharib, M. 2003 The significance of vortex ring formation to the impulse and thrust of a startingjet. Phys. Fluids 15 (5), 1271-1281. (Pubitemid 36761834)
20. Linden, P. F. & Turner, J. S. 2001 The formation of optimal vortex rings, and the efficiency of propulsion devices. J. Fluid Mech. 427, 61-72.
21. Linden, P. F. & Turner, J. S. 2004 Optimal vortex rings and aquatic propulsion mechanisms. Proc. R. Soc. B 271, 647-653. (Pubitemid 38365855)
22. Mohseni, K. & Gharib, M. 1998 A model for universal time scale of vortex ring formation. Phys. Fluids 10 (10), 2436-2438. (Pubitemid 128597755)
23. Mohseni, K., Ran, H. Y. & Colonius, T. 2001 Numerical experiments on vortex ring formation. J. Fluid Mech. 430, 267-282. (Pubitemid 32219406)
24. Pedrizzetti, G. 2010 Vortex formation out oftwo-dimensional orifices. J. Fluid Mech. 655, 198-216.
25. Pedrizzetti, G. & Domenichini, F. 2005 Nature optimizes the swirling flow in the human left ventricle. Phys. Rev. Lett. 95, 1080101.
26. Pedrizzetti, G. & Domenichini, F. 2006 Flow-driven opening of a valvular leaflet. J. Fluid Mech. 569, 321-330. (Pubitemid 44756429)
27. Pedrizzetti, G., Domenichini, F. & Tonti, G. 2010 On the left ventricular vortex reversal after mitral valve replacement. Ann. Biomed. Engng 38 (3), 769-773.
28. Rosenfeld, M., Katija, K. & Dabiri, J. O. 2009 Circulation generation and vortex ring formation by conic nozzles. J. Fluids Engng 131, 091204.
29. Rosenfeld, M., Rambod, E. & Gharib, M. 1998 Circulation and formation number of laminar vortex rings. J. Fluid Mech. 376, 297-318. (Pubitemid 128506065)
30. Saffmann, P. G. 1992 Vortex Dynamics. Cambridge University Press.
31. Shusser, M. & Gharib, M. 2000 Energy and velocity of a forming vortex ring. Phys. Fluids 12 (3), 618-621.
32. Verzicco, R. & Orlandi, P. 1996 A finite-difference scheme for 3D incompressible flow in cylindrical coordinates. J. Comput. Phys. 123, 402-414. (Pubitemid 126168706)