• Masaki Satoh
Part of the Springer Praxis Books book series (PRAXIS)


Various types of unstable disturbances are examined in this chapter. We discuss the motions and structures of unstable disturbances superimposed on a balanced state of the atmosphere. These are in contrast to the neutral disturbances considered in the previous chapter. We examined the condition for the instability of balanced states of atmospheric motions in Chapter 2, in which the main interest revolved around the characteristics of balanced states. In this chapter, however, we mainly consider the properties of unstable disturbances. The structures of unstable disturbances will be investigated using linear stability analysis in this chapter.


Rayleigh Number Potential Temperature Rossby Wave Potential Vorticity Phase Speed 
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References and suggested reading

  1. Chandrasekhar, S., 1961: Hydrodynamic and Hydromagnetic Stability. Oxford University Press, New York, 654 pp.Google Scholar
  2. Charney, J.G., 1947: The dynamics of long waves in a baroclinic westerly current. J.Meteor., 4, 135–162.CrossRefGoogle Scholar
  3. Drazin, P.G. and Reid, W.H., 1981: Hydrodynamic Stability. Cambridge University Press, Cambridge, UK, 527 pp.Google Scholar
  4. Eady, E.T., 1949: Long waves and cyclone waves. Tellus, 1, 35–52.Google Scholar
  5. Hayashi, H., Shiotani, M., and Gille, J.C., 2002: Horizontal wind disturbances induced by inertial instability in the equatorial middle atmosphere as seen in rocketsonde observations. J. Geophys. Res., 107, 4228, doi:10.1029/2001JD000922.CrossRefGoogle Scholar
  6. Held, I.M. and Hou, A.Y., 1980: Nonlinear axially symmetric circulations in a nearly inviscid atmosphere. J.Atmos. Sci., 37, 515–533.CrossRefGoogle Scholar
  7. Hoskins, B. J., McIntyre, M. E., and Robertson, A.W., 1985: On the use and significance of isentropic potential vorticity maps. Q. J.Roy. Meteorol. Soc., 111, 877–946.CrossRefGoogle Scholar
  8. Lin, C. C., 1955: The Theory of Hydrodynamic Stability. Cambridge University Press, Cambridge, UK, 155 pp.Google Scholar
  9. Michalke, A., 1968: On the inviscid instability of the hyperbolic-tangent velocity profile. J.Fluid Mech., 19, 543–556.CrossRefGoogle Scholar
  10. Pedlosky, J., 1987: Geophysical Fluid Dynamics, 2nd ed. Springer-Verlag, New York, 710 pp.Google Scholar
  11. Phillips, N.A., 1954: Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model. Tellus, 4, 273–286.Google Scholar
  12. Tanaka, H., 1975: Quasi-linear and non-linear interactions of finite amplitude perturbation in a stably stratified fluid with hyperbolic tangent J.Meteor. Soc. Japan, 53, 1–31.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Masaki Satoh
    • 1
  1. 1.Atmosphere and Ocean Research InstituteThe University of TokyoKashiwaJapan

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