Instability of a rotating shear layer in the transonic regime

Journal of Fluid Mechanics

Volumn 306, Issue , 1996, Pages 59-82

  Tomasini, M ^a   Dolez, N ^a   Leorat J ^b  

^a OBSERVATOIRE MIDI PYRÉNÉES   (France)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW MODELLING; INSTABILITY; ROTATING FLUIDS; SHEAR LAYER; TRANSONIC REGIME;

FLUID DYNAMICS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; ROTATIONAL FLOW; SHEAR FLOW;

KELVIN-HELMHOLTZ INSTABILITY; MACH NUMBER; POLYTROPIC FLUID; TWO DIMENSIONAL COUETTE FLOW;

TRANSONIC FLOW;

COUETTE FLOW; INSTABILITY; SHEAR FLOW; TRANSONIC FLOW;

EID: 0029656714     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096001231     Document Type: Article

References (24)

1. ANTIPOV, S. V., NEZLIN, M. V., SNEZHKIN, E. N. & TRUBNIKOV A. S. 1983 Stabilization of a tangential shear instability in shallow water with supersonic fluid flow. JETP Lett. 37, 375.
2. BAEV, P. V., MAKOV, Y. N. & FRIDMAN, A. M. 1987 Formation of spiral-whirl structure of VK galaxies during the linear stage of hydrodynamic instability. Sov. Astron. Lett. 13, 406.
3. BAZDENKOV S. V. & POGUTSE O. P. 1983 Supersonic stabilization of a tangential shear in a thin atmosphere. JETP Lett. 37, 378.
4. BLUMEN, W., DRAZIN, P. G. & BILLINGS, D. F. 1975 Shear layer instability of an inviscid compressible fluid. J. Fluid Mech. 71, 305.
5. CHAGELISHVILI, G. D., ROGAVA, A. D. & SEGAL, I. N. 1994 Hydrodynamic stability of compressible plane Couette flow. Phys. Rev. E 50, R4283.
6. CHOMAZ, J. M., RABAUD, M., BASDEVANT, C. & COUDER, Y. 1988 Experimental and numerical investigation of a forced circular shear layer. J. Fluid Mech. 187, 115.
7. DOLEZ, N. & LÉORAT, J. 1991 Numerical simulations of supersonic plane Couette flow instabilities. In Turbulence and Coherent Structures (ed. O. Metais & A. Lesieur). Kluwer.
8. DUBRULLE, B. & NAZARENKO, S. 1994 On scaling laws for the transition to turbulence in uniform-shear flows. Europhys. Lett. 27 , 129.
9. FRIDMAN, A. M. 1979 Origin of the spiral structure of galaxies. Sov. Phys. Usp. 21, 536.
10. FRIDMAN, A. M. 1989 In Dynamics of Astrophysical Disks (ed. J. A. Sellwood), p. 185 Cambridge University Press.
11. FRIDMAN, A. M., MOROZOV, A. G., NEZLIN, M. V. & SNEZHKIN, E. N. 1985 Centrifugal instabilities in rotating shallow water and the problem of the spiral structures in Galaxies. Phys. Lett. 109A, 228.
12. GLATZEL, W. 1987a On the stability of compressible differentially rotating cylinders. Mon. Not. R. Astron. Soc. 225, 227.
13. GLATZEL, W. 1987b On the stability of compressible differentially rotating cylinders II. Mon. Not. R. Astron. Soc. 228, 77.
14. GOLDREICH, P. & LYNDEN-BELL, D. 1965 Spiral arms as sheared gravitational instabilities. Mon. Not. R. Astron. Soc. 130, 125.
15. LANDAU, L. 1944 Stability of tangential discontinuities in compressible fluid. Akad. Nauk. SSSR. C. R. (Dokl.) 44, 139.
16. MARCUS, P. S. 1990 Vortex dynamics in a shearing zonal flow. J. Fluid Mech. 215. 393.
17. MOROZOV, A. G. 1977 Growth of spiral disturbances in the disks of flat galaxies through Kelvin-Helmholtz instability. Sov. Astron. Lett. 3, 103.
18. MOROZOV, A. G. 1979 Generation of spiral structures in flat galaxies with double peaked rotation curves. Sov. Astron. Lett. 23, 278.
19. NARAYAK, R., GOLDREICH, P. & GOODMAN, J. 1987 Physics of modes in a differentially rotating system-analysis of the shearing sheet. Mon. Not. R. Astron. Soc. 228, 1.
20. NEZLIN, M. V., POLLACHENKO, V. L., SNEZHKIN, E. N., TRUBNIKOV, A. S. & FRIDMAN, A. M. 1986 Interarm vortices predicted by laboratory simulations of spiral structures. Sov. Astron. Lett. 12, 213.
21. NEZLIN, M. V. & SNEZHKIN, E. N. 1993 Rossby vortices, Spiral structures, Solitons: Astrophysics and Plasma Experiments in Shallow Water Experiments. Springer.
22. ORSZAG, S. A. & KELLS, L. C. 1980 Transition to turbulence in plane Poiseuille and plane Couette flow. J. Fluid Mech. 96, 159.
23. PAPALOIZOU, J. C. B. & PRINGLE, J. E. 1984 The dynamical stability of differentially rotating discs with constant angular momentum. Mon. Not. R. Astron. Soc. 208, 721.
24. ZASOV A. V. & ZOTOV, V. M. 1989 How often should disk galaxies have double-humped rotation curves? Sov. Astron. Lett. 15, 90.