Effects of dissipation on internal waves in a contained rotating stratified fluid
Abstract
Boundary layer techniques are used to examine the modifications due to dissipation in the normal modes of a uniformly rotating, density stratified, Boussinesq fluid in a rigid container. Arbitrary relative influence of rotation and stratification is considered. The existence of critical regions of the container boundary is discussed. In cylindrical geometry a formula is derived for the decay factor on the homogeneous 'spinup' time scale which reveals how the dominant dissipation varies as a function of several parameters. For the situation where the buoyancy and inertial frequency are exactly equal, all boundaries are everywhere critical. In this case the method of multiple timescales is employed to investigate the confluence inertialgravity mode which is shown to persist until the diffusive timescale is achieved.
 Publication:

Geophysical and Astrophysical Fluid Dynamics
 Pub Date:
 December 1983
 DOI:
 10.1080/03091928308210126
 Bibcode:
 1983GApFD..27..183F
 Keywords:

 Computational Fluid Dynamics;
 Energy Dissipation;
 Gravity Waves;
 Internal Waves;
 Rotating Fluids;
 Stratified Flow;
 Boundary Layer Equations;
 Flow Geometry;
 Oscillating Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer;
 WAVES;
 ROTATION;
 THEORY