ON AN EXACT SOLUTION OF A NONLINEAR THREE-DIMENSIONAL MODEL IN OCEAN FLOWS WITH EQUATORIAL UNDERCURRENT AND LINEAR VARIATION IN DENSITY

摘要

The aim of the paper is to develop an exact solution relating to a system of model equations representing ocean flows with Equatorial Undercurrent and thermocline in the presence of linear variation of density with depth. The system of equations is generated from the Euler equations represented in a suitable rotating frame by following a careful asymptotic approach.The study in this paper is motivated by the recently developed Constantin-Johnson model [13] for Pacific flows with undercurrent and the exact results provided therein. The model formulated is two-layered, three-dimensional and nonlinear with a symmetric structure about the equator. The equations contain Coriolis effect and is consistent with beta- plane approximation. Exact results of the asymptotic system of equations have been derived in a region close to the equator.