Meridional flow velocities on solar-like stars with known activity cycles

TL;DR

This paper estimates meridional flow velocities on solar-like stars with activity cycles by assuming surface matter travels a meridional distance during the Hale cycle, relating it to the Rossby number.

Contribution

It introduces a method to evaluate stellar meridional flow velocities based on stellar activity cycles and the Rossby number, despite direct measurement challenges.

Findings

Mean meridional flow velocity depends on Rossby number.

Velocity estimates are derived from the stellar Hale cycle assumption.

The study links magnetic dynamo parameters to surface flow velocities.

Abstract

The direct measurements of the meridional flow velocities on stars are impossible today. To evaluate the meridional flow velocities on solar-like stars with stable activity periods, we supposed that during the stellar Hale cycle the matter on surfaces of stars passes the meridional way equivalent to $2\pi R_\star$. We present here the dependence of the mean meridional flow velocity on Rossby number, which is an effective parameter of the stellar magnetic dynamo.