# A study on Stokes-Brinkman dimensionless model for flow in porous media

## TL;DR

This paper introduces a new non-dimensionalization method for the Stokes-Brinkman model in porous media, focusing on the impact of a novel dimensionless number called Anna's number on flow regimes.

## Contribution

It proposes a new non-dimensionalization approach and analyzes the role of Anna's number in flow transition between Darcy and Stokes regimes.

## Key findings

- Anna's number influences flow behavior in porous media.
- The model clarifies flow regime transitions.
- New insights into flow dynamics in porous structures.

## Abstract

In this work we propose a non-dimensionalization approach for the Stokes-Brinkman model for flow in porous media. We study the effect of the dimensionless number found, which will be denoted by A and named as Anna's number, has on the outflow and transition between the Darcy and Stokes regime.