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Fig. 25.

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Radial vorticity ζr eigenfunctions at the surface (r = 0.985 R) for m = 8. Left and right panels: cases for the equatorial Rossby modes with no radial nodes (n = 0) and with one radial node (n = 1). Upper and lower panels: cases with weak diffusion (ν = 1011 cm2 s−1) and strong diffusion (ν = 1012 cm2 s−1). Black solid and dashed lines represent real and imaginary eigenfunctions, respectively. The real part of the eigenfunctions are defined to be zero at the equator. The vertical red lines denote the location of critical latitudes where the phase speed of a Rossby mode is equal to the differential rotation velocity.

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