Stability of stagnation points in rotating flows

Physics of Fluids

Volumn 9, Issue 11, 1997, Pages 3566-3569

  Leblanc, Stéphane ^a  

^a ECOLE CENTRALE DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; STABILITY; TENSORS; THREE DIMENSIONAL; VELOCITY;

ANGULAR VELOCITY; CORIOLIS; HAMEIRI THEORY; LIFSCHITZ THEORY; STAGNATION POINTS; STEADY INVISCID PLANE FLOW;

VORTEX FLOW;

EID: 0031280565     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869427     Document Type: Article

References (21)

1. A. Lifschitz and E. Hameiri, "Local stability conditions in fluid dynamics," Phys. Fluids A 3, 2644 (1991).
2. A. Lifschitz, "Short wavelength instabilities of incompressible three-dimensional flows and generation of vorticity," Phys. Lett. A 157, 481 (1991).
3. A. Lifschitz, "On the stability of certain motions of an ideal incompressible fluid," Adv. Pure Appl. Math. 15, 404 (1994).
4. B. J. Bayly, D. D. Holm, and A. Lifschitz, "Three-dimensional stability of elliptical vortex columns in external strain flows," Philos. Trans. R. Soc. London, Ser. A. 345, 895 (1996).
5. N. R. Lebovitz and A. Lifschitz, "Short-wavelength instabilities of Riemann ellipsoids," Philos. Trans. R. Soc. London, Ser. A 354, 927 (1996).
6. S. Friedlander and M. M. Vishik, "Instability criteria for the flow of an inviscid incompressible fluid," Phys. Rev. Lett. 66, 204 (1991).
7. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, 1981).
8. T. J. Pedley, "On the stability of viscous flow in a rapidly rotating pipe," J. Fluid Mech. 35, 97 (1969).
9. C. Camboun, "Etude spectrale d'un champ turbulent incompressible soumis à des effets couplés de déformation et de rotation imposés extérieurement," Ph.D. thesis, University Lyon 1, France, 1982.
10. C. Cambon, C. Teissèdre, and D. Jeandel, "Etude d'effets couplés de déformation et de rotation sur une turbulence homogène," J. Méc. Théor. Appl. 4, 629 (1985).
11. C. Cambon, J.-P. Benoit, L. Shao, and L. Jacquin, "Stability analysis and large eddy simulation of rotating turbulence with organized eddies," J. Fluid Mech. 278, 175 (1994).
12. R. R. Lagnado, N. Phan-Thein, and L. G. Leal, "The stability of two-dimensional linear flows," Phys. Fluids 27, 1094 (1984).
13. A. D. D. Craik, "The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions," J. Fluid Mech. 198, 275 (1989).
14. B. J. Bayly, "Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows," Phys. Fluids 31, 56 (1988).
15. R. C. Kloosterziel, "Barotropic vortices in a rotating fluid," Ph.D. thesis, University of Utrecht, The Netherlands, 1990.
16. R. C. Kloosterziel and G. J. F. van Heijst, "An experimental study of unstable barotropic vortices in a rotating fluid," J. Fluid Mech. 223, 1 (1991).
17. S. Leblanc and C. Cambon, "On the three-dimensional instabilities of plane flows subjected to Coriolis force," Phys. Fluids 9, 1307 (1997).
18. R. T. Pierrehumbert, "Universal short-wave instability of two-dimensional eddies in an inviscid fluid," Phys. Rev. Lett. 57, 2157 (1986).
19. B. J. Bayly, "Three-dimensional instability of elliptical flow," Phys. Rev. Lett. 57, 2160 (1986).
20. V. V. Meleshko and G. J. F. van Heijst, "On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid," J. Fluid Mech. 272, 157 (1994).
21. G. R. Flierl, M. E. Stern, and J. A. Whitehead, "The physical significance of modons: laboratory experiments and general integral constraints," Dyn. Atmos. Oceans 7, 233 (1983).