Waves and turbulence on a beta-plane

  title={Waves and turbulence on a beta-plane},
  author={Peter B. Rhines},
  journal={Journal of Fluid Mechanics},
  • P. Rhines
  • Published 10 June 1975
  • Physics
  • Journal of Fluid Mechanics
Two-dimensional eddies in a homogeneous fluid at large Reynolds number, if closely packed, are known to evolve towards larger scales. In the presence of a restoring force, the geophysical beta-effect, this cascade produces a field of waves without loss of energy, and the turbulent migration of the dominant scale nearly ceases at a wavenumber k β = (β/2 U ) ½ independent of the initial conditions other than U , the r.m.s. particle speed, and β, the northward gradient of the Coriolis frequency… Expand

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