dans79 wrote:Blaze1 wrote:
It the relationship between downforce in wake turbulence and distance exponential?
it could probably be simplified to that, but like so many other dynamic problems, it's not really something that can be written as an equation, only approximated.
Turbulence, due to its chaotic nature, cannot be fully expressed in equations, but the dissipation of downforce is by air molecules slowing each other down. This friction is loosely proportional to their speed, think of air molecules like objects flying through the air and having their own coefficient of drag. Therefore, the force that slows them down is proportional to the square of their speed, which makes their speed/time relation a decaying third order equation. In other words, the reduction of turbulence per unit time is inversely proportional to the time spent since the creation of the turbulence.
Another point; the correlation between aero performance of a car and the turbulence of the air it goes through must be analysed, and IMO it wouldn't be as simple as a third order equation. Furthermore, this turbulence/downforce relation would vary from car to car.
Though I'm pretty sure teams know how much performance they lose in different strengths of downforce, and are making design choices based on it. For example, Mercedes are expecting to have the race in clean air, so they look for extra clean air performance in exchange for huge downforce loss in dirty air, whereas Toro Rosso with its hotshot drivers opt for aero devices that play nice with turbulent air in exchange for all-out clean air/qualifying aero performance.