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Zonal wind driven by inertial modes.

A Tilgner1

  • 1Institute of Geophysics, University of Göttingen, Friedrich-Hund-Platz 1, 37077, Göttingen, Germany.

Physical Review Letters
|February 1, 2008
PubMed
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Nonlinear shear layers in rotating fluids drive zonal flows that grow infinitely in the inviscid limit. These findings are crucial for understanding the dynamics of planets and stars with tidal forcing.

Area of Science:

  • Fluid dynamics
  • Geophysics
  • Astrophysics

Background:

  • Inertial modes are oscillatory phenomena in rotating fluids.
  • Singularities arise in the inviscid limit of inertial modes within spherical shells.
  • Tidal forcing can excite inertial modes in celestial bodies.

Purpose of the Study:

  • To investigate the nonlinear dynamics of shear layers in inertial modes.
  • To determine the behavior of zonal flow driven by these shear layers in the inviscid limit.

Main Methods:

  • Analysis of inertial modes in spherical shells.
  • Examination of nonlinear effects within shear layers.

Main Results:

  • Nonlinearity in shear layers drives a zonal flow.

Related Experiment Videos

  • The amplitude of this zonal flow diverges in the inviscid limit.

    • Conclusions:

    • The inviscid limit of inertial modes in rotating spherical shells leads to divergent zonal flows.
    • These results have implications for planetary and stellar dynamics involving tidal forcing.