Bobbywhy said:
If you are moving relative to the air, and the car is stationary relative to the air, then by definition you are moving relative to the car. Then of course there will be a real Doppler shift in the received frequency. It is not your velocity relative to the air, it is simply your velocity relative to the car that causes the effect.
Here's another case: a sound emitter and a sound receiver are co-moving, with uniform velocity, moving with a particular velocity relative to the air.
Then for the receiver the two frequency shift effects cancel out. Still, the sound around the emitter is not symmetric. In the air ahead of the emitter the wavelength is shorter, behind it longer. That is, distributed in the volume of air surrounding the cars there is a physical frequency shift effect.There is danger of babylonian confusion here. Are we to understand the expression 'Doppler effect' as 'a shift of
locally measured frequency'? Or as 'a physical difference as evaluated over an extended volume of space'?
Also, the expression Doppler effect is used both in the context of sound propagation, and in the context of propagation of electromagnetic waves. As we know, in sound propagation the velocity relative to the medium matters, but for electromagnetic wave Doppler effects only the relative velocity of emitter and receiver enters the equations.
I used the expression 'Doppler effect' in a way that is natural for the case of sound propagation. In the case of sound propagation there is the actual physics of the sound in the air.
Once again comparing: as we know, in the case of electromagnetic waves there is no such thing as distinction between physical Doppler shift and apparent Doppler shift. There's just that: a frequency shift.
Conversely, in the case of sound propagation velocity relative to the medium is a factor, and that is what I referred to in distinguishing between physical effect and apparent effect.