static pressure in non-inertial frames

sam

Folks:

We are all familiar with gallelian transformations where all the thermodynamic quantities stay the same. We do these transformations all the time, to say, ride with the shcok wave etc. My question is : Is this still true when we transform to a non-inertial frame ?

My guess is that the pressure would not stay the same, since there will be body forces in the non-inertial frame. For example, we may think of a column of fluid at rest on the earth's surface. Due to gravity, the pressure will be a function of height. Now, if this column were in a freely falling elevator (a non-inertial frame), because of weightlessness, the pressure will not be a function of height.

So, I am a bit confused when people say (on this forum) that pressure remains the same in a rotating frame of reference. Could some one clarify ?

Thanks for all responses.

sam