as (- Pstart + Pstart) = 0P = (Pstart/Tstart)*T - Pstart + Pstart
Simpler to say
Pstart/Tstart = Pfinal/Tfinal, so
Pfinal = (Pstart/Tstart)/Tfinal
Temperatures in Kelvin, pressures in whatever you want.
as (- Pstart + Pstart) = 0P = (Pstart/Tstart)*T - Pstart + Pstart
Yeah, that was my thought as well : there is a factor 2 somewhere, but I can't find where it's missing ...subcritical71 wrote: ↑23 Jun 2021, 20:35I learned gas law as PV over T (vs P over T). Without me doing any calculations could the inclusion of volume alter your coefficient? I think the answer is no based on yours being a factor of 2 off from Pirelli.Marble wrote: ↑18 Jun 2021, 09:25I have seen Pirelli cool down pattern, and I have tried to find it by myself using Gay-Lussac law, but I don't know why, I don't get to same coefficient.
For the front tyre, Pirelli has :
PSIf = (T(°C) - 100) * 0,108 + PSIstartf (PSI and °C)
If we use Gay Lussac (or perfect gaz law) we have (Pascal and Kelvin)
Pstart / T start = P / T
ie
P = (Pstart/Tstart)*T
P = (Pstart/Tstart)*T - Pstart + Pstart
P = (Pstart/Tstart)*T - Pstart*(Tstart/Tstart) + Pstart
P = (Pstart/Tstart)*(T-Tstart) + Pstart
And there we have the same form as the Pirelli formula but using Pascals and Kelvin ie in PSI and °C for the fronts
P = (PSIstart*6895)/(T°start+273)*(T°+273-T°start-273) + Pstart
P = PSIstart*(6895)/(T°start+273)*(T°-T°start) + Pstart
Replacing by numeric numbers for PSIstart and T°start for the fronts I have :
P = 21*6895/373*(T°-100) + Pstart
P = 388,19*(T°-100) + Pstart
And finally transforming into PSI :
PSI = 388,19/6895*(T°-100) + PSIstart
ie
PSI = 0,0563*(T°-100) + PSIstart
Problem is I don't get the same coefficient as Pirelli (0,056 vs 0,108)
Where is my mistake ?
It's just an artifice to have the same form of formula as Pirelli has ie