Starting flow through nozzles with temporally variable exit diameter

Journal of Fluid Mechanics

Volumn 538, Issue , 2005, Pages 111-136

  Dabiri, John O ^a   Gharib, Morteza ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; FLOW PATTERNS; FLOW VISUALIZATION; JETS; MATHEMATICAL MODELS; NOZZLES; ORIFICES; VORTEX FLOW;

STARTING FLOW; TRAILING JET; VORTEX GENERATORS; VORTEX RING DISCONNECTION; VORTEX RING STRUCTURES;

PULSATILE FLOW;

NOZZLE; START UP FLOW; VORTEX;

EID: 17644413133     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200500515X     Document Type: Article

References (38)

1. Adrian, R. J. 1991 Paricle-imaging techniques for experimental fluid-mechanics. Annu. Rev. Fluid Mech. 23, 261-304.
2. Anderson, E. J. & DeMont, M. E. 2000 The mechanics of locomotion in the squid Loligo pealei: locomotory function and unsteady hydrodynamics of the jet and intramantle pressure. J. Exp. Biol. 203, 2851-2863.
3. Auerbach, D. 1987 Experiments on the trajectory and circulation of the starting vortex. J. Fluid Mech. 183, 185-198.
4. Bartol, I. K., Patterson, M. R. & Mann, R. 2001 Swimming mechanics and behavior of the shallow-water brief squid Lolliguncula brevis. J. Exp. Biol. 204, 3655-3682.
5. Benjamin, T. B. 1976 The alliance of practical and analytical insights into the non-linear problems of fluid mechanics. In Applications of Methods of Functional Analysis to Problems in Mechanics (ed. P. Germain & B. Nayroles). Lecture Notes Mathematics 503, 8-28.
6. Dabiri, J. O. & Gharib, M. 2003 Sensitivity analysis of kinematic approximations in dynamic medusan swimming models. J. Exp. Biol. 206, 3675-3680.
7. Dabiri, J. O. & Gharib, M. 2004a Delay of vortex ring pinch-off by an imposed bulk counter-flow. Phys. Fluids 16, L28-L30.
8. Dabiri, J. O. & Gharib, M. 2004b A revised slug model boundary layer correction for starting jet vorticity flux. Theor. Comput. Fluid Dyn. 17, 293-295.
9. Dabiri, J. O. & Gharib, M. 2004c Fluid entrainment by isolated vortex rings. J. Fluid Mech. 511, 311-331.
10. Daniel, T. L. 1983 Mechanics and energetics of medusan jet propulsion. Can. J. Zool. 61, 1406-1420.
11. Didden, N. 1979 Formation of vortex rings - rolling-up and production of circulation. Z. Angew. Math. Phys. 30, 101-116.
12. Gharib, M., Rambod, E. & Shariff, K. 1998 A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121-140.
13. Glezer, A. & Amitay, M. 2002 Synthetic jets. Annu. Rev. Fluid Mech. 34, 503-529.
14. Gorman, J. H. III, Gupta, K. B., Streicher, J. T., Gorman, R. C., Jackson, B. M., Ratcliffe, M. B., Bogen, D. K. & Edmunds, L. H. Jr. 1996 Dynamic three-dimensional imaging of the mitral valve and left ventricle by rapid sonomicrometry array localization. J. Thorac. Cardiovasc. Surg. 112, 712-726.
15. Handke, M., Heinrichs, G., Beyersdorf, F., Olschewski, M., Bode, C. & Geibel, A. 2003 In vivo analysis of aortic valve dynamics by transesophageal 3-dimensional echocardiography with high temporal resolution. J. Thorac. Cardiovasc. Surg. 125, 1412-1419.
16. Joslin, R. D. 1998 Aircraft laminar flow control. Annu. Rev. Fluid Mech. 30, 1-29.
17. Kelvin, W. T. 1875 Vortex statics. Collected works, vol. 4, pp. 115-128, Cambridge University Press.
18. Krueger, P. S. 2001 The significance of vortex ring formation and nozzle exit over-pressure to pulsatile jet propulsion. PhD thesis, California Institute of Technology, Pasadena, CA.
19. Krueger, P. S. & Gharib, M. 2003 The significance of vortex ring formation to the impulse and thrust of a starting jet. Phys. Fluids 15, 1271-1281.
20. Krutzsch, C.-H. 1939 Über eine experimentell beobachtete Erscheinung an Wirbelringen bei ihrer translatorischen Bewegung in wirklichen Flüssigkeiten. Annln. Phys. 35, 497-523.
21. 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.
22. Mohseni, K. 2001 Statistical equilibrium theory for axisymmetric flows: Kelvin's variational principle and an explanation for the vortex ring pinch-off process. Phys. Fluids 13, 1924-1931.
23. Mohseni, K. & Gharib, M. 1998 A model for universal time scale of vortex ring formation. Phys. Fluids 10, 2436-2438.
24. Mohseni, K., Ran H. Y. & Colonius, T. 2001 Numerical experiments on vortex ring formation. J. Fluid Mech. 430, 267-282.
25. Rosenfeld, M., Rambod, E. & Gharib, M. 1998 Circulation and formation number of laminar vortex rings. J. Fluid Mech. 376, 297-318.
26. Rosenhead, L. 1963 Laminar Boundary Layers. Clarendon.
27. Saffman, P. G. 1978 The number of waves on unstable vortex rings. J. Fluid Mech. 84, 625-639.
28. Shariff, K. & Leonard, A. 1992 Vortex rings. Annu. Rev. Fluid Mech. 24, 235-279.
29. Shariff, K., Verzicco, R. & Orlandi, P. 1994 A numerical study of 3-dimensional vortex ring instabilities - viscous corrections and early nonlinear stage. J. Fluid Mech 279, 351-375.
30. Shusser, M. & Gharib, M. 2000 Energy and velocity of a forming vortex ring. Phys. Fluids 12, 618-621.
31. Shusser, M., Gharib, M., Rosenfield, M. & Mohseni, K. 2002 On the effect of pipe boundary layer growth on the formation of a laminar vortex ring generated by a piston/cylinder arrangement. Theor. Comput. Fluid Dyn. 15, 303-316.
32. Vogel, S. 1988 Life's Devices. Princeton University Press.
33. Vogel, S. 1994 Nature's pumps. Am. Sci. 82, 464-471.
34. Widnall, S. E., Bliss, D. B. & Tsai, C.-Y. 1974 The instability of short waves on a vortex ring. J. Fluid Mech. 66, 35-47.
35. Widnall, S. E. & Tsai, C.-Y. 1977 The instability of the thin vortex ring of constant vorticity. Phil. Trans. R. Soc. A 287, 273-305.
36. Willert C. E. & Gharib, M. 1991 Digital particle image velocimetry. Exps. Fluids 10, 181-193.
37. Yogonathan, A. P., Lemmon, J. D. & Ellis, J. T. 2002 Heart valve dynamics. In The Biomedical Engineering Handbook. CRC Press LLC.
38. Zhao, W., Frankel, S. H. & Mongeau, L. G. 2000 Effects of trailing jet instability on vortex ring formation. Phys. Fluids 12, 589-596.