Flow around a wind turbine

Induction region

Vortex sheet theory Medici et al. 2011

Wake

Near wake

Far wake

periodic helicoidal vortex
structures shedding

tip vortices

root vortices

tip vortices are more "persistent"

Wind-Turbine and Wind-Farm Flows: A Review, Fernando Porté-Agel et al.

Breakdowns

tip votices can reduce
flow entrainment in the near wake by separating this region from the outer flow

have some random fluctuations

vortex wandering or
vortex jittering

mutual inductance instability

Hub vortex

Mean flow distribution

mean flow distribution

velocity distribution

turbulence intensity distribution

slight Gaussian distribution

self similarity

Wake recovery

heavily influenced by influenced by roughness length

'rougher flows' induce greater turbulence intensity.

Greater turbulence intensity = quicker recovery

Ultimately affects "capacity density"

Generally high turbulence, especially in the upper part of the wake. Also, Kinzel shows power transport due to kinetic energy flux is dominant in the upper part of the wake, compared to that of the lower part of the wake


if uniform inflow conditions, I_w has a double gaussian profile. Max values occur at the edge of the wakes

Streamwise turbulence intensity

Turbulent momentum flux

entrainment of air from the outer flow
towards the wake centre

Turbulent kinetic energy

Wake Meandering

wake meandering does not occur unless turbulent eddies much larger than the turbine rotor diameter exist in the incoming flow

Yawed flow

Wake deflection

Yaw angle

Thrust coefficient

Incoming turbulence intensity

thermal stability

Thermal effects

Convective boundary layer

Neutral atmospheric boundary layer

stable boundary layer

Relatively higher turbulence intensity in the convective boundary layer

Enhanced turbulent mixing, flow entrainment, wake meanduring, and wake recovery