A note on the linear stability of Burgers vortex

Studies in Applied Mathematics

Volumn 100, Issue 2, 1998, Pages 107-126

  Crowdy, Darren G ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

VORTEX FLOW;

AXIAL DISTANCE; AXISYMMETRIC; BURGERS VORTEX; LINEAR STABILITY; LINEARIZED EQUATIONS; PERTURBATION ANALYSIS; REYNOLD NUMBER; STAGNATION POINTS; STRAIN FIELDS; TWO PARAMETER;

REYNOLDS NUMBER;

EID: 0038933022     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00072     Document Type: Article

References (9)

1. J. M. BURGERS, A mathematical model illustrating the theory of turbulence, Adv. Appl. Mech. 1:171-199 (1948).
2. A. C. ROBINSON and P. G. SAFFMAN, Stability and structure of stretched vortices, Stud. App. Math. 70:163-181 (1984).
3. A. PROCHAZKA and D. I. PULLIN, On the 2-dimensional stability of the axisymmetrical Burgers vortex, Phys. Fluids 7:1788-1790 (1995).
4. S. LEIBOVICH and P. HOLMES, Global stability of Burgers vortex, Phys. Fluids 24:548-549 (1981).
5. K. N. BERONOV and S. KIDA, Linear two-dimensional stability of a Burgers vortex layer, Phys. Fluids 8(4) (1996).
6. M. GASTER, On the generation of spatially growing waves in a boundary layer, J. Fluid Mech. 22:433-441 (1965).
7. C. M. BENDER and S. A. ORSZAG, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, (1978).
8. M. ABRAMOVITZ and I. A. STEGUN, Handbook of Mathematical Functions, National Bureau of Standards.
9. P. G. DRAZIN and W. H. REID, Hydrodynamic Stability, Cambridge Univ. Press, (1981).