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Linear Stability of a Radial Wall Jet

Published online by Cambridge University Press:  07 June 2016

Y Tsuji
Affiliation:
Faculty of Engineering, Osaka University, Suita, Japan
Y Morikawa
Affiliation:
Faculty of Engineering, Osaka University, Suita, Japan
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Summary

A linear stability analysis was made for a radial wall jet. A perturbation method against the two-dimensional wall jet was used for the formulation, from which a non-homogeneous Orr-Sommerfeld equation was derived. The computation showed that disturbances are more unstable in the radial wall jet than in the two-dimensional case, which agrees qualitatively with an experimental evidence.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1979

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References

1 Tsuji, Y., Morikawa, Y., Nagatani, T. and Sakou, M. The stability of a two-dimensional wall jet. Aeronautical Quarterly, Vol. XXVIII, p 235, 1977 Google Scholar
2 Tsuji, Y., Sakou, M. The stability of a radial wall jet. Aeronautical Morikawa, Y. and Quarterly, Vol. XXVIII, p 247, 1977 CrossRefGoogle Scholar
3 Glauert, M.B. The wall jet. Journal of Fluid Mechanics, Vol. 1 p 625, 1956 Google Scholar
4 Chun, D.H. and Schwarz, W.H. Stability of the plane incompressible wall jet subjected to small disturbances. Physics of Fluids, Vol. 10, p 911, 1967 Google Scholar
5 Ling, C.H. and Reynolds, W.H. Non-parallel flow corrections for the stability of shear flows. Journal of Fluid Mechanics, Vol. 59, p 571, 1973 Google Scholar