# Effect of tip speed ratio on multiscale coherent dynamics in the near wake of a model wind turbine

## TL;DR

This study investigates how tip speed ratio influences the complex coherent structures and wake dynamics behind a model wind turbine using PIV experiments, revealing new length scales and flow behaviors.

## Contribution

It introduces a convective length scale based on vortex pitch and links wake meandering characteristics to tip speed ratio, advancing understanding of near wake dynamics.

## Key findings

- Tip vortex merging depends on tip speed ratio.
- A new convective length scale ($L_c$) better characterizes the near wake.
- Wake meandering frequency decreases with increasing tip speed ratio.

## Abstract

The near wake of a small-scale wind turbine is investigated using Particle Image Velocimetry (PIV) experiments at different tip speed ratios ($\lambda$). The wind turbine model had a nacelle and a tower mimicking real scale wind turbines. The near wake is found to be dominated by multiple coherent structures including the tip vortices, distinct vortex sheddings from the nacelle and tower, and wake meandering. The merging of the tip vortices is found to be strongly dependent on $\lambda$. A convective length scale ($L_c$) related to the pitch of the helical vortices is defined which is shown to be a better length scale than turbine diameter ($D$) to demarcate the near wake from the far wake. The tower induced strong vertical asymmetry in the flow by destabilising the tip vortices and promoting mixing in the lower (below the nacelle) plane. The nacelle's shedding is found to be important in 'seeding' wake meandering which although not potent, exists close to the nacelle, and it becomes important only after a certain distance downstream ($x>3L_c$). A link between the 'effective porosity' of the turbine and $\lambda$ is established and the strength and frequency of wake meandering is found to be dependent on $\lambda$. In fact, a decreasing trend of wake meandering frequency with $\lambda$ is observed, similar to vortex shedding from a porous disk at varying porosity. Such similarity upholds the notion of wake meandering being a global instability of the turbine, which can be considered as a 'porous' bluff body of diameter $D$.