CONTEXT: I asked this question and the first answer stated that wind cannot change the flux of sound waves through an area. Why is this? I understand that sound waves are basically a bunch of medium particles performing SHM. Now if I add to their velocity, a component perpendicular to the direction of SHM (i.e. from the wind; I’m not considering the component parallel to it), won’t it affect the direction of sound waves?
Now if I add to their velocity, a component perpendicular to the direction of SHM
The velocity is not added to the sound rays of the sound waves, it is added to the fluid that is air .
won’t it affect the direction of sound waves?
Yes, it will change the direction according to the fluid motion of the gas/air.
c in the linked question because a turbulence is forced on the air by the horizontal wind, and the lines reflect the turbulence as the particles of air,which willcarry the sound, flow.