When the source and observer are moving in the same direction, the apparent frequency is given by
n’=n (V+W)−V0
(V+W)−Vs
Where, Vo is the velocity of the observer
Vs is the velocity of the source
W is the velocity of the wind blowing in the same direction.
If the source and observer are at rest i.e.Vo=Vs=0
n’=n
There would be no Doppler shift in frequency because the wind is moving with the same velocity relative to both the observer and source. Notice that the sound medium moving against the direction of sound while both observer and source are stationary gives the same effect as if the source and observer are both moving in the same direction. So there is no Doppler shift in frequency.