Experimental stability studies in wakes of two- dimensional slender bodies at hypersonic speeds

AIAA Journal ◽  
1971 ◽  
Vol 9 (5) ◽  
pp. 851-857 ◽  
Author(s):  
WILHELM BEHRENS ◽  
DENNY R. S. KO
Keyword(s):  
Two Dimensional ◽  
Stability Studies ◽  
Slender Bodies ◽  
Hypersonic Speeds

Two-dimensional numerical analysis for inlets at subsonic through hypersonic speeds

1988 ◽  
Vol 4 (6) ◽  
pp. 549-556 ◽  
Author(s):  
R. H. Bush ◽  
P. G. Vogel ◽  
W. P. Norby ◽  
B. A. Haeffele
Keyword(s):  
Numerical Analysis ◽  
Two Dimensional ◽  
Hypersonic Speeds

Nonlinear stability of axisymmetric swirling flows

1988 ◽  
Vol 326 (1590) ◽  
pp. 327-354 ◽  
Keyword(s):  
Poisson Bracket ◽  
Linear Stability ◽  
Nonlinear Stability ◽  
Equations Of Motion ◽  
Sufficient Conditions ◽  
Swirling Flows ◽  
Two Dimensional ◽  
Stability Studies ◽  
Vortex Density

We establish sufficient conditions for the nonlinear stability of incompressible, inviscid, swirling flows using the Arnol’d energy-Casimir method. We derive an axisymmetric Lie-Poisson bracket and work with equations of motion in swirl-function-vortex-density form. The flows and perturbations we consider may have axial variations. The formulation is closely analogous to that of two-dimensional, stratified, Boussinesq flows considered by Abarbanel et al . [ Phil. Trans. R. Soc. Lond. A 318, 349-409 (1986)) and a high-wavenumber cut off is necessary to overcome indefiniteness, as in that case. We give several examples of columnar swirling flows and discuss the relation of our results to linear stability studies of swirling flows.

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