Stability of confined swirling flow with and without vortex breakdown

Journal of Fluid Mechanics

Volumn 311, Issue , 1996, Pages 1-36

  Gelfgat, A Yu ^a   Bar Yoseph, P Z ^a   Solan, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BUBBLES (IN FLUIDS); FINITE VOLUME METHOD; NAVIER STOKES EQUATIONS; NEWTONIAN LIQUIDS; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; STABILITY; UNSTEADY FLOW; VORTEX FLOW;

AXISYMMETRIC OSCILLATORY INSTABILITY SETS; CONFINED SWIRLING FLOW; NONLINEAR ASYMPTOTIC APPROXIMATION; OSCILLATORY VORTEX BREAKDOWN; STATIONARY MERIDIONAL FLOW; SUPERCRITICAL FLOW; SUPERCRITICAL HOPF BIFURCATION;

CONFINED FLOW;

FLOW STABILITY; SWIRLING FLOW; VORTEX BREAKDOWN;

EID: 0030088237     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096002492     Document Type: Article

References (32)

1. ARKADYEV, A., BAR-YOSEPH, P., SOLAN, A. & ROESNER, K. G. 1993 Thermal effects on axisymmetric vortex breakdown in a spherical gap. Phys. Fluids A 5, 1211-1223.
2. BAR-YOSEPH, P. 1994 On multiple flow patterns and vortex breakdown phenomena in confined rotating flows. Comput. Fluid Dyn. J. 3, 273-292.
3. BAR-YOSEPH, P. & KRYZHANOVSKI, YU. 1995 On the validity of power law models in the prediction of vortex breakdown phenomena. 6th Intl Symp. on Computational Fluid Dynamics (ed. M. Hafez), Lake Tahoe, Nevada, September 4-8, pp. 29-34; Comput. Fluid Dyn. (to appear).
4. BAR-YOSEPH, P. & KRYZHANOVSKI, YU. 1995 On the validity of power law models in the prediction of vortex breakdown phenomena. 6th Intl Symp. on Computational Fluid Dynamics (ed. M. Hafez), Lake Tahoe, Nevada, September 4-8, pp. 29-34; Comput. Fluid Dyn. (to appear).
5. BAR-YOSEPH, P., ROESNER, K. G. & SOLAN, A. 1992 Vortex breakdown in the polar region between rotating spheres. Phys. Fluids A 4, 1677-1686.
6. BROWN, G. L. & LOPEZ, J. M. 1990 Axisymmetric vortex breakdown. Part 2. Physical mechanisms. J. Fluid Mech. 221, 533-576.
7. CHRISTENSEN, E. A., SORENSEN, J. N., BRØNS, M. & CHRISTIANSEN P. L. 1993 Low-dimensional representation of early transition in rotating fluid flow. Theor. Comput. Fluid Dyn. 5, 259-267.
8. DAUBE, O. 1992 Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique. J. Comput. Phys. 103, 402-414.
9. DAUBE, O. & SØRENSEN, J. N. 1989 Simulation numérique de l'écoulement périodique axisymmétrique dans une cavité cylindrique. C. R. Acad. Sci. Paris 308, 463-469.
10. DAVIDSON, P. A. 1989 The interaction between swirling and recirculating velocity components in unsteady, inviscid flow. J. Fluid Mech. 209, 35-55.
11. DELERY, J. M. 1994 Aspects of vortex breakdown. Prog. Aerosp, Sci. 30, 1-59.
12. ESCUDIER, M. P. 1984 Observation of the flow produced in a cylindrical container by a rotating endwall. Exps. Fluids 2, 189-196.
13. ESCUDIER, M. P. 1988 Vortex breakdown: observations and explanations. Proc. Aerosp. Sci. 25, pp. 189-229.
14. GELFGAT, A., BAR-YOSEPH, P. & SOLAN, A. 1995 Numerical investigation of a confined swirling flow in a cylinder with rotating top and bottom by the Galerkin spectral method. 6th Intl Symp. on Computational Fluid Dynamics (ed. M. Hafez), Lake Tahoe, Nevada, September 4-8, pp. 355-360.
15. GELFGAT, A. Yu. & TANASAWA, I. 1993 Systems of basis functions for calculation of threedimensional fluid flows in cylindrical containers with the Galerkin spectral method. Proc. Inst. Indust. Sci., Univ. Tokyo 45 (8), 60-63.
16. GELFGAT, A. YU. & TANASAWA, I. 1994 Numerical analysis of oscillatory instability of buoyancy convection with the Galerkin spectral method. Numer. Heat Transfer A: Applications 25, 627-648.
17. HASSARD, B. D., KAZARINOFF, N. D. & WAN, Y.-H. 1981 Theory and Applications of Hopf Bifurcation. London Math. Soc. Lecture Note Series, vol. 41.
18. HOPF, E. 1942 Abzweigung einer Periodischen Losung von Einer Stationaren Losung eines Differentialsystems. Ber. Verh. Sachs. Acad. Wiss. Leipsig Math.-Nat. 94, 3-22.
19. HOPFINGER, E. J. & LINDEN, P. F. 1990 The effect of background rotation on fluid motions. J. Fluid Mech. 211, 417-435.
20. JANSSEN, R. J. A., HENKES, R. A. W. M., HOOGENDOORN, C. J. 1993 Transition to time-periodicity of a natural convection flow in a 3D differentially heated cavity. Intl J. Heat Mass Transfer 36, 2927-2940.
21. LOPEZ, J. M. 1990 Axisymmetric vortex breakdown. Part 1. Confined swirling flow. J. Fluid Mech. 221, 533-552.
22. LOPEZ, J. M. 1994 On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe. Phys. Fluids 6, 3683-3693.
23. LOPEZ, J. M. & PERRY, A. D. 1992 Axisymmetric vortex breakdown. Part 3. Onset of periodic flow and chaotic advection. J. Fluid Mech. 234, 449-471.
24. LUGT, H. J. & ABBOUD, M. 1987 Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid. J. Fluid Mech. 179, 179-200.
25. LUGT, H. J. & HAUSSLING, H. J. 1973 Development of flow circulation in a rotating tank. Acta Mechanica 18, 255-272.
26. NEITZEL, G. P. 1988 Streak-line motion during steady and unsteady axisymmetric vortex breakdown. Phys. Fluids 31, 958-960.
27. PATANKAR, S. V. & SPALDING, D. B. 1972 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Intl J. Heat Mass Transfer 15, 1787-1806.
28. ROESNER, K. G. 1990 Recirculation zones in a cylinder with rotating lid. In Topological Fluid Mechanics (ed. H. K. Moffat & A. Tsinober), pp. 699-708. Cambridge University Press.
29. SØRENSEN, J. N. & DAUBE, O. 1989 Direct simulation of flow structures initiated by a rotating cover in a cylindrical vessel. In Advances in Turbulence (ed. H. H. Fernholz & H. E. Fielder), pp. 383-390. Springer.
30. TSITVERBLIT, N. 1993 Vortex breakdown in a cylindrical container in the light of continuation of a steady solution. Fluid Dyn. Res. 11, 19-35.
31. TSITVERBLIT, N. & KIT, E. 1994 On the onset of nonsteadiness in the flows with vortex breakdown in a cylindrical container. Proc. IUTAM Symp on Nonlinear Instability of Nonparallel Flows (ed. S. P. Lin, W. R. C. Phillips & D. T. Valentine), pp. 310-319. Springer.
32. VOGEL, H. U. 1975 Rückströmungsblasen in Drallströmungen. In Festschrift zum 50-jährigen Bestehen des MPI für Sirömungsforschung, pp. 263-272. Hubert, Göttingen.