An Exact, Steady, Purely Azimuthal Equatorial Flow with a Free Surface

摘要: AbstractThe general problem of an ocean on a rotating sphere is considered. The governing equations for inviscid, incompressible fluid, written in spherical coordinates that are fixed at point the Earth, together with free surface and rigid bottom boundary conditions, introduced. An exact solution this system presented; describes steady flow moving only azimuthal direction, no variation direction. However, velocity component has arbitrary depth (i.e., radius), so, example, Equatorial Undercurrent (EUC) can be accommodated. pressure condition relates to shape via Bernoulli relation; provides constraint existence solution, although restrictions somewhat involved coordinates. To examine more detail, corresponding problems model cylindrical (with equat...