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Steady-state hydrodynamical equation for north-south direction without disregarding non-linear terms of field accelerations was transformed into a Fredholm's integral equation of second kind. Numerical solution was obtained without much difficulty. It was then examined what would be the magnitude of meridional velocity corresponding to an assigned vertical velocity. It was found that the relationship between the meridional and vertical velocities is not simple, being connected through a parameter similar to Reynolds' number involving the depth of the ocean, velocity and coefficient of eddy viscosity. Some discussions thereof were made. A simple model of vertical flow was assumed and the correlation between the vertical and meridional flows was discussed.

Relationship between the Meridional and Vertical Flows at the Equator