Local stability analysis of an inviscid transverse jet

Journal of Fluid Mechanics

Volumn 581, Issue , 2007, Pages 401-418

  Alves, Leonardo S de B ^a   Kelly, Robert E ^a   Karagozian, Ann R ^a  

^a Engineering IV   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; FLOW VELOCITY; FOURIER ANALYSIS; LINEAR STABILITY ANALYSIS; MATRIX ALGEBRA;

BASEFLOW; CROSSFLOW; FOURIER EXPANSION;

JETS;

ESTIMATION; FLOW VELOCITY; FOURIER ANALYSIS; JETS; LINEAR STABILITY ANALYSIS; MATRIX ALGEBRA;

JET FLOW; LINEARITY; STABILITY ANALYSIS;

EID: 34548187267     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007005873     Document Type: Article

References (28)

1. DE B. ALVES, L. S. 2006 Transverse jet shear-layer instabilities: Linear stability analysis and numerical simulations. PhD thesis, University of California at Los Angeles, Los Angeles, USA.
2. DE B. ALVES, L. S., KELLY, R. E. & KARAGOZIAN, A. R. 2006 Transverse jet shear-layer instabilities. Part 2. Linear analysis for large jet-to-crossflow velocity ratio. J. Fluid Mech. (submitted).
3. BATCHELOR, G. K. & GILL, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529-551.
4. BLANCHARD, J. N., BRUNET, Y. & MERLEN, A. 1999 Influence of a counter rotating vortex pair on the stability on a jet in cross flow: An experimental study by flow visualizations. Exps. Fluids 26, 63-74.
5. BLOSSEY, P. N. & SCHMID, P. J. 2002 Global stability analysis of a jet in cross flow. Bull. Am. Phys. Soc. 47(10), 92.
6. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability Oxford University Press.
7. COELHO, S. L. V. 1988 The dynamics of the near field of entraining jets in cross flows. PhD thesis, University of Cambridge.
8. COELHO, S. L. V. & HUNT, J. C. R. 1989 The dynamics of the near field of strong jets in cross flow. J. Fluid Mech. 200, 95-120.
9. CORKE, T. C. & KUSEK, S. M. 1993 Resonance in axisymmetric jets with controlled helical-mode input. J. Fluid Mech. 249, 307-336.
10. CORKE, T. C., SHAKIB, F. & NAGIB, H. M. 1991 Mode selection and resonant phase locking untable axisymmetric jets. J. Fluid Mech. 223, 253-311.
11. CORTELEZZI, L. & KARAGOZIAN, A. R. 2001 On the formation of the counter-rotating vortex pair in transverse jets. J. Fluid Mech. 446, 347-373.
12. CROW, S. C. & CHAMPAGNE, F. M. 1971 Orderly structure in jet turbulence.J. Fluid Mech. 48, 547-591.
13. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
14. FRIC, T. F. & ROSHKO, A. 1994 Vortical structure in the wake of a transverse jet. J. Fluid Mech. 279, 1-47.
15. GODRÈCHE, C. & MANNEVILLE, P. 1998 Hydrodynamics and Nonlinear Instabilities. Cambridge University Press.
16. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473-537.
17. HUO, P. & DHANAK, M. R. 1996 The bifurcation of circular jets in cross flow. Phys. Fluids 8 (3), 754-763.
18. KAMOTANI, Y. & GRUBER, I. 1974 Experiments on confined turbulent jets in a cross flow. Tech. Rep. CR - 2392. NASA.
19. KARAGOZIAN, A. R., CORTELEZZI, L. & SOLDATI, A. 2003 Manipulation and Control of Transverse Jets. CISM Courses and Lectures, vol. 439. Springer.
20. KELSO, R. M., LIM, T.T. & PERRY, A. E. 1996 An experimental study of round jets in cross flow. J. Fluid Mech. 306, 111-144.
21. KUZO, D. M. 1995 An experimental study of the turbulent transverse jet. PhD thesis, California Institute of Technology.
22. LIN, S. P. 2003 Breakup of Liquid Sheets and Jets. Cambridge University Press.
23. MARGASON, R. J. 1993 Fifty years of jet in cross flow research. AGARD-CP-534 1, 1-141.
24. MEGERIAN, S., DAVITIAN, J., DE B. ALVES, L. S. & KARAGOZIAN, A. R. 2006 Transverse jet shear-layer instabilities. Part I) experimental studies. J. Fluid Mech. (submitted).
25. MICHALKE, A. 1971 Instabilität eines kompressiblen runden freistrahls unter berücksichtigung des einflusses der strahlgrenzschichtdicke. Z. Flugwiss. 19 (8-9), 319-328, English translation: NASA TM 75190 (1977).
26. NEEDHAM, D. J., RILEY, N. & SMITH, J. H. B. 1988 A jet in cross flow. J. Fluid Mech. 188, 159-184.
27. SMITH, S. H. & MUNGAL, M. G. 1998 Mixing, structure and scaling of the jet in cross flow. J. Fluid Mech. 357, 83-122.
28. WOLFRAM, S. 1999 The Mathematica Book, 4th edn. Cambridge: Wolfram Media.