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The Stability of a Two-dimensional Wall Jet

Published online by Cambridge University Press:  07 June 2016

Yutaka Tsuji
Affiliation:
Osaka University, Japan
Yoshinobu Morikawa
Affiliation:
Osaka University, Japan
Toshihiro Nagatani
Affiliation:
Kobe Steel Limited, Japan
Masaaki Sakou
Affiliation:
Kawasaki Heavy Industries Limited, Japan
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Summary

The stability of a two-dimensional wall jet was studied theoretically and experimentally. As a result of the linear stability calculation, it was found that one eigenmode is separated into two modes when the Reynolds number is large, and inside a neutral stable curve in the α, R-plane there exists another neutral curve enclosing a stable region. Experimental results of small disturbances were compared with calculated results; agreement between them was satisfactory. It was found, further, that subharmonics of a predominant disturbance velocity component appear in the non-linear region.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1977

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References

1 Chun, D H Schwarz, W H Stability of the plane incompressible viscous wall jet subjected to small disturbances. Physics of Fluids, Vol 10, p 911, 1967.CrossRefGoogle Scholar
2 Bajura, R A Szewczyk, A A Experimental investigation of a laminar two-dimensional plane wall jet. Physics of Fluids, Vol 13, p 1963, 1970.Google Scholar
3 Bajura, R A Catalano, M R Transition in a two-dimensional plane wall jet. Journal of Fluid Mechanics, Vol 70, p 773, 1975.CrossRefGoogle Scholar
4 Betchov, R Criminale, W O Stability of Parallel Flows. Academic Press, 1967.Google Scholar
5 Glauert, M B The wall jet. Journal of Fluid Mechanics, Vol 1, p 625, 1956.CrossRefGoogle Scholar
6 Brown, W B Boundary Layer and Flow Control. Edited by Lachmann, G V, Pergamon Press, p 903, 1961.Google Scholar
7 Howard, L N The number of unstable modes in hydrodynamic stability problems. Journal de Mécanique, Vol 3, p 433, 1964.Google Scholar
8 Tsuji, Y Morikawa, Y Sakou, M The stability of a radial wall jet. Aeronautical Quarterly, Vol XXVIII, p 247, 1977. (Follows this paper.)Google Scholar
9 Browand, F K An experimental investigation of the instability of an incompressible, separated shear layer. Journal of Fluid Mechanics, Vol 26, p 281, 1966.CrossRefGoogle Scholar
10 Miksad, R W Experiments on the non-linear stages of free shear-layer transition. Journal of Fluid Mechanics, Vol 56, p 695, 1972.CrossRefGoogle Scholar