The exact solution of the Rossby adjustment problem

Article English OPEN
Mihaljan, John M. (2011)
  • Publisher: Co-Action Publishing
  • Journal: Tellus A (issn: 1600-0870)
  • Related identifiers: doi: 10.3402/tellusa.v15i2.8833
  • Subject:
    arxiv: Astrophysics::Earth and Planetary Astrophysics

The exact solution of the Rossby (1938) adjustment problem is obtained. If a is the half-width of the initial current and Λ is the radius of deformation, it is shown that Rossby's solution is asymptotically valid for a/Λ <1. We examine the asymptotic solution for a/Λ >1. The exact energetic relations are obtained. The numerical examples of Rossby are recalculated with the exact solution.DOI: 10.1111/j.2153-3490.1963.tb01373.x
  • References (5)

    A* = 27.2 km, all* = 3.68.

    BOLINB,., 1953, The adjustment of a non-balanced velocity field towards geostrophic equilibrium in a, stratified fluid. Tellus, 6, pp. 373-385.

    CAHNA,., 1945, An investigation of the free oscillations of a simple current system. J . Meteor., 2, pp. 113-119.

    MONIN, A . S., and OBUKHOAV., M., 1959, A note on general classification of motions in a baroclinic atmosphere. Tellus, 11, pp. 159-162.

    ROSSBYC,. G., 1938, On the mutual adjustment of pressure and velocity distribution in certain simple current systems, 11. J . Marine Res., 1, pp. 239-263.

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