saffa,
I'm not sure exactly what else you need, but I'll try to clarify further.
I obtained the stack-to-wind-velocity ratio rules of thumb from SMACNA's "Guide for Steel Stack Construction", 2nd Ed. Generally speaking, the purpose of having a higher stack discharge velocity than the prevailing wind speed is to prevent downwash. This is similar to the airflow over buildings, so the ASHRAE Fundamentals Handbook may have some info on this as well. This Fundamentals book also has the "extreme annual windspeed" data for various locations which you'll also need. If you don't have this resource, let me know the location and I can look it up.
For example, Chicago has extreme annual windspeeds tabulated at between 19.2 and and 24.8 mph (5% thru 1% data, respectively). So to be conservative (in this example), you might just want to use 25 mph.
Therefore, at 1.5:1, your stack velocity needs to be 3300 fpm (minimum) to avoid downwash.
Now you still need to obtain the generator data I mentioned before regarding the exhaust: airflow rate, back pressure, temperature, connection size. You should be able to find some tables (or engineering toolbox type thing) where it will tell you the pressure drop (usually in psi/100' of say schedule 40 steel pipe) through various size pipes at certain flow rates. You will have to apply some factors since you're not dealing with standard air. Temperature will be a key factor since your generator exhaust might be over 1000 deg F.
Anyway, assuming you can come up with a number from the tables adjusted for the temperature/pressure, etc. For an example, let's say you come up with 80" W.C. pressure drop/100' of sch 40 pipe given 2000 CFM and an 8" pipe. If you're exhaust connection size is 8", you probably don't want to go smaller than that (manufacturer probably wouldn't allow it anyway). If the generator exhaust airflow is greater than ~1200 CFM, you'll satisfy the min velocity (3300 FPM) we calculated above, so 2000 CFM will work. Now let's say the max recommended back pressure is 1.5" Hg (20" W.C). If your proposed stack height is 25' or less, you're in good shape because you will have a pressure drop of 20" in 25' of 8" stack (given the 80"/100' we determined above). If, however, you need to put in a 50' stack, then you'll exceed the max recommended back pressure and you'll have to go with a larger stack size. Try 10" for the next iteration, and make sure your velocity is still adequate.
If you're adding any additional items to this stack you'll have to account for their pressure drop as well (e.g., muffler, turns, stack cap, etc.).