ringo wrote: ↑28 Apr 2025, 18:45
What is your background and experience with CFD?
Let's start there.
Air is very compressible. Familiar with the humble air compressors, turbo, or the humble piston engine?
Or air pressure at sea level vs on top of a mountain?
No Mach speeds there.
Edit: What website/ap can be used to post images here?
My background is in aerospace engineering, however my CFD experience is quite humble (especially compared to some on this forum).
I've never said, that the air is not compressible. Compressors or piston engines usually take advatange of the fact, that the air there is enclosed in a confined space and can't escape. And most axial and centrifugal compressors actually speed air up to Ma 0.8-0.9.
As for atmospheric conditions, it's due to the gravity: air is compressed by its own weight and also can't escape, as the gravity is holding it down.
That is a bit different to a free flow through a tube/around a car/over a wing. It's because in that case the air
can escape and there is no mechanical device to pump more energy into a system (an isentropic process).
The air always wants to take a path of the least resistance. If there is a free outflow, it won't linger and cram into greater density, when it can simply increase its speed (that is a simplification, as without increase in temperature the molecules don't actually speed up, but just start to move more in the same direction and the average speed increases). However, the closer the flow is to the speed of sound, the more difficult it is for air to speed up, so there is some cramming in place and the density rises. That relation to the speed of sound is polynomial and so the rise in density for Ma 0.3 is less than 5%, as can be calculated with the ideal gas equations:
See:
https://www.grc.nasa.gov/www/k-12/airpl ... ntrop.html (eq. (8)).
That rise in density will be regardless of the shape of the channel.
Now, that is an idealised model. I do know that the real life is a bit more quirky, but generally for the flow through a channel up to Ma 0.3, an incompressible regime can be used, as it will be well within typical engineering tolerances.