Particle paths in equatorial flows

TL;DR

This paper analyzes particle trajectories in equatorial flows considering Earth's rotation, using analytic functions in a Lagrangian framework to explore different flow classes and their physical regimes.

Contribution

It introduces a method to construct particle trajectories with analytic functions in equatorial flows, accounting for Earth's rotation effects on vorticity and pressure distributions.

Findings

Particle trajectories are constructed using analytic functions.

Earth's rotation influences vorticity distribution.

Different flow classes are identified and their regimes determined.

Abstract

We investigate particle trajectories in equatorial flows with geophysical corrections caused by the earth's rotation. Particle trajectories in the flows are constructed using pairs of analytic functions defined over the labelling space used in the Lagrangian formalism. Several classes of flow are investigated, and the physical regime in which each is valid is determined using the pressure distribution function of the flow, while the vorticity distribution of each flow is also calculated and found to be effected by earth's rotation.