The motion of vortices within a rotating, fluid shell

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

1

Hydrodynamic Equations, Incompressible Fluids, Planetary Atmospheres, Rotating Fluids, Vortices, Vorticity Equations, Angular Momentum, Bessel Functions, Computational Fluid Dynamics, Partial Differential Equations, Planetary Rotation, Solitary Waves, Traveling Waves

Scientific paper

A spherical, solid planet surrounded by a thin layer of an incompressible, inviscid fluid is considered. The planet rotates with constant angular velocity. Within the constraints of the geostrophic approximation of hydrodynamics, the equation that governs the motion of a vortex tube within this rotating ocean is determined and turns out to be a nonlinear partial differential equation of the third order for the stream function of the motion. The existence is examined of particular solutions to the vorticity equation that represent traveling waves of permanent form but decaying at infinity. A particular solution is obtained in terms of I1 and K1, the modified Bessel functions of order one. The question whether these localized vortices that move like solitary waves could even be solitons depends on their behavior during and after collision with each other and has not yet been resolved.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The motion of vortices within a rotating, fluid shell does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The motion of vortices within a rotating, fluid shell, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The motion of vortices within a rotating, fluid shell will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-936819

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.