Vortex breakdown generated by off-axis bifurcation in a cylinder with rotating covers

Acta Mechanica

Volumn 187, Issue 1-4, 2006, Pages 75-83

  Bisgaard, A V ^a,b   Brons M ^a,b   Sorensen J N ^a,b  

^a Matematiktorvet ^*

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BREAKDOWN BUBBLE; VORTEX BREAKDOWN; VORTEX RING;

BIFURCATION (MATHEMATICS); BUBBLES (IN FLUIDS); ENGINE CYLINDERS; NUMERICAL METHODS; ROTATING MACHINERY; VELOCITY;

VORTEX FLOW;

EID: 33750727381     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-006-0367-y     Document Type: Article

References (28)

1. Bar-Yoseph, P., Solan, A., Roesner, K. G.: Numerical simulation and experimental verification of cavity flows. Lecture Notes in Mathematics 1431, 229-235 (1988).
2. Bessaï, R., Kadja, M., Eckhert, K., Marty, P.: Numerical and analytical study of rotating flow in an enclosed cylinder under an axial magnetic field. Acta Mech. 164, 175-188 (2003).
3. Bisgaard, A. V.: Structures and bifurcations in fluid flows with applications to vortex breakdown and wakes. PhD thesis, Department of Mathematics, Technical University of Denmark, 2005.
4. Brøns, M., Bisgaard, A. V.: Bifurcation of vortex breakdown patterns in a circular cylinder with two rotating covers. To appear in Fluid Mech., 2006.
5. Brøns, M.: Topological fluid mechanics of axisymmetric flows. In: Simulation and identification of organized structures in Flows (Sørensen, J. N., Hopfinger, E. J., Aubry, N., eds.), pp. 213-222. Dordrecht: Kluwer 1999.
6. Brøns, M., Bisgaard, A.: Bifurcation of vortex breakdown patterns. In: Proceedings of the 2004 International Conference on Computational & Experimental Engineering & Sciences (Atluri, S. N., Tadeu, A. J. B., eds.), pp. 988-993. Georgia, USA: Tech Science Press 2004.
7. Brøns, M., Voigt, L. K., Sørensen, J. N.: Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers. J. Fluid Mech. 401, 275-292 (1999).
8. Brøns, M., Voigt, L. K., Sørensen, J. N.: Topology of vortex breakdown bubbles in a cylinder with rotating bottom and free surface. J. Fluid Mech. 428, 133-148 (2001).
9. Daube, O.: Numerical simulations of axisymmetric vortex breakdown in a closed cylinder. In: Vortex dynamics and vortex methods (Anderson, C. R, Greengard, C., eds.), Vol. 28 of Lectures in Applied Mathematics, pp. 131-152. American Mathematical Society 1991.
10. Dusting, J., Sheridan, J., Hourigan, K.: Flows within a cylindrical cell culture bioreactor with a free-surface and a rotating base. In: Proceedings of the 15th Australasian Fluid Mechanics Conference (Behnia, M., Lin, W., McBain, G. D., eds.). University of Sydney 2004.
11. Escudier, M. P.: Observations of the flow produced in a cylindrical container by a rotating endwall. Exp. Fluids 2, 189-196 (1984).
12. Gelfgat, A. Y., Bar-Yoseph, P. Z., Solan, A.: Steady states and oscillatory instability of swirling flow in a cylinder with rotating top and bottom. Phys. Fluids 8(10), 2614-2625 (1996).
13. Guckenheimer, J., Holmes, P.: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. New York: Springer 1983.
14. Husain, H. S., Shtern, V., Hussain, F.: Control of vortex breakdown by addition of near-axis swirl. Phys. Fluids 15(2), 271-278 (2003).
15. Leibovich, S.: Vortex stability and breakdown: survey and extension. AIAA J. 22(9), 1192-1206 (1984).
16. Lim, T., Cui, Y.: On the generation of a spiral-type vortex breakdown in an enclosed cylindrical container. Phys. Fluids 17, 044105-1-044105-9 (2005).
17. Lopez, J. M.: Axisymmetric vortex breakdown, part 1. Confined swirling flow. J. Fluid Mech. 221, 533-552 (1990).
18. Okulov, V. L., Sørensen, J. N., Voigt, L. K.: Vortex scenario and bubble generation in a cylindrical cavity with rotating top and bottom. Eur. J. Mech. B 24, 137-148 (2005).
19. Peckham, D. H., Atkinson, S. A.: Preliminary results of low speed wind tunnel tests on a gothic wing of aspect ratio 1.0. Technical Report TN Aero 2504, British Aeronautical Research Concil CP508, 1957.
20. Ronnenberg, B.: Ein selbstjustierendes 3-Komponenten-Laserdoppler- Anemometer nach dem Vergleichsverfaren, angewandt auf Untersuchungen in einer stationären zylindersymmetrischen Drehströmung mit einem Rückströmgebiet, Bericht 19. Göttingen: Max-Planck-Institut für Strömungsforschung 1977.
21. Serre, E., Bontoux, P.: Vortex breakdown in a three-dimensional swirling flow. J. Fluid Mech. 459, 347-370 (2002).
22. Sørensen, J. N., Loc, T. P.: High-order axisymmetric Navier-Stokes code: description and evaluation of boundary conditions. Int. J. Num. Meth. Fluids 9, 1517-1537 (1989).
23. Sotiropoulos, F., Ventikos, Y.: The three-dimensional structure of confined swirling flows with vortex breakdown. J. Fluid Mech. 426, 155-175 (2001).
24. Spohn, A., Mory, M., Hopfinger, E. J.: Observations of vortex breakdown in an open cylindrical container with a rotating bottom. Exp. Fluids 14, 70-77 (1993).
25. Spohn, A., Mory, M., Hopfinger, E. J.: Experiments on vortex breakdown in a confined flow generated by a rotating disc. J. Fluid Mech. 370, 73-99 (1998).
26. Thompson, M. C., Hourigan, K.: The sensitivity of steady vortex breakdown bubbles in confined cylinder flows to rotating lid misalignment. J. Fluid Mech. 496, 129-138 (2003).
27. Valentine, D. T., Jahnke, C. C.: Flows induced in a cylinder with both end walls rotating. Phys. Fluids 6(8), 2702-2710 (1994).
28. Vogel, H. U.: Experimentelle Ergebnisse über die laminäre Strömung in einem zylindrischen Gehäuse mit darin rotierender Scheibe, Bericht 6. Göttingen: Max-Planck-Institut für Strömungsforschung 1968.