Journal of Oceanography

, Volume 34, Issue 1, pp 1–7 | Cite as

Group velocity and energy transport by Rossby waves

  • Akira Masuda
Article

Abstract

A variational method gives a proof that, for normal modes of Rossby waves in the ocean on aΒ-plane with depth variable in the meridional direction, the time average of the energy flux defined as the product of the pressure and the fluid-particle velocity agrees with the time average of the energy density multiplied by the group velocity. This conclusion holds in considerably general situations and sheds light on the controversial problem of the energy transport by Rossby waves. Moreover, the variational method gives a remarkable relation between the group velocity and the phase velocity. In particular this relation shows that the absolute value of the group velocity never exceeds that of the phase velocity.

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References

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Copyright information

© Oceanographical Society of Japan 1978

Authors and Affiliations

  • Akira Masuda
    • 1
  1. 1.Research Institute for Applied MechanicsKyushu UniversityFukuokaJapan

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