Mean flow velocities and mass transport for Equatorially-trapped water waves with an underlying current

TL;DR

This paper analyzes the mean flow velocities and mass transport caused by equatorially-trapped water waves with an underlying current, using an exact solution to geophysical equations on the $eta$-plane.

Contribution

It provides a new explicit solution to the geophysical equations that models water waves with underlying currents at the Equator.

Findings

Derives an exact solution for equatorially-trapped water waves with currents.

Quantifies mean flow velocities and mass transport in the model.

Enhances understanding of wave-current interactions in geophysical fluid dynamics.

Abstract

In this paper we present an analysis of the mean flow velocities, and related mass transport, which are induced by certain Equatorially-trapped water waves. In particular, we examine a recently-derived exact and explicit solution to the geophysical governing equations in the $\beta-$plane approximation at the Equator which incorporates a constant underlying current.