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Which wavelength grows fastest in the Eady model?

  • A.About 40000 kilometres
  • B.About 1000 kilometres, which is the Rossby radius of deformation in the mid-latitude troposphere today
  • C.About 4000 kilometres
  • D.About 400 kilometres, which is comparable with the width of a single frontal rain band within a cyclone

Answer: C

The Eady model gives a most unstable wavelength close to 4000 kilometres for typical mid-latitude parameters, in good agreement with the observed spacing of cyclones along a storm track. The deformation radius is smaller by a factor of about four and sets the scale rather than giving the answer directly. That agreement between an idealised calculation and observation is what established the theory. A limit that survives making every external component ideal is an intrinsic one, and worth knowing for that reason.

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