John231 said:
I know that Cold Air is more dense than the warm air, so for example: If a car was accelerating facing a hot air, it will face less air resistance. But if it was facing a Cold air, it will face more air resistance because the cold air contain more mass per volume for each particle. It will face more Air resistance even if there was little difference...
Correct me if I'm wrong please.
Thank You!
As you can see in the above representation, the drag coefficient is not a constant over values of Reynolds number.
Fluid people have come up with ways to determine a fluids resistance to flow and one of these is Reynolds number.
Reynolds number is the ratio of the inertia forces / viscous forces as an object moves through a fluid. Inertia forces relate to the resistance of the fluid to accelerate and are subject to the density of the fluid and the square of the velocity of the object through the fluid. The viscous forces result from the internal friction of the fluid, and are dependant upon the viscosity of the fluid and the velocity of the object through the fluid. In addition, and this may be surprising to you as it seems contrary to what one you would expect if they have experience with liquids, is that the viscosity of a gas increases with temperature.
At low Reynolds number viscous forces predominate. At higher Reynolds number, the inertia forces predominate. For a given body moving in a given fluid, this would be the same as subsituting the phrase "Reynolds number" with "velocity".
So as your car tries to accelerate on a run down the road, the air provides a drag opposing that acceleration. At the beginning, when the velocity of the car is low, the drag due to the density of the air is low and the drag due to viscosity is high ( in relation to one another and not the absolute drag on the car which will increase as the velocity increases ).
Generally,
Warm air being more viscous would give more percentage of drag than cold air at the beginning of the run.
Cold air being more dense would give more percentage of drag than warm air as the velocity of the car increases.
It could be that your would experience more total drag in denser but less viscous cold air than in a less dense but more viscous warm air, depending upon how fast you decide to go.
Hopefully that makes sense.