Ridgeways,
Wouldn't it be nice if it were that easy !
The carbon (smoke) produced in a flare flame is a very complex feature of the stability of the hydrocarbon, the size of the flare, the exit velocity, the crosswind, and the adiabatic flame temperature range between UEL and LEL.
The carbon forms largely in the core of the flame before it reaches any air due to the radiant load from the burning envelope and in the air lean zone as concentration pass through the UEL. I wish that I thought an easy relationship to be practical but I'm afraid I don't.
The techniques of smoke suppression mainly involve flame temperature reduction, changing the chemical balance of the mixture by adding steam, and enhanced air mixing.
External thermal radiation from the flame is characterised by the amount of free carbon in the burning envelope. I have (an imperfect) formula for emissive fraction in the paper "Making the Flare Safe" at
navigate to main index|downloads. You could build on something like that formula to get an estimate of the potential carbon outfall from the flame. My baseline would be that incipent smoke formation starts around e = 0.15 and maxes out at 0.4 (disastrous black smoke). Then you have to estimate the size of the downwind plume around the end of the flame and distribute the carbon across that expanding cone to fudge a number which represents the total obscuration across that section. (I didn't say it would be easy). Ringlemann is essentially % obscuration. 1 = 20%, 2 = 40% etc.
Having done all that however, what does it get you? My experience with Ringlemann readers on flares is as varied as there are flares. Some readers are happy to read the plume off the flame at the end, others are so picky that they "call" the smallest eddy and wisp of soot even if it disappears almost instantly. At the risk of sounding cynical, why do you even care? Ringlemann numbers were developed for real chimneys where all the combustion occurs before you see the smoke, akin to the reading after the flame is ended.
regards
![[ponder] [ponder] [ponder]](/data/assets/smilies/ponder.gif)
David