If you are interested in heat flow mechanics, here are two major factors in heat exchange into air. One is area or number of leap off points for molecular exchange and the other is the differential in temps. The exhaust fins and pipe have a nearby heat source of 1300F or more. The rest of the motor should not be much more than 300F, if you want oil to survive the experience. So back of the envelope calc says that when fins are supplied with, say, 100 degree air in constant replacement, a small area fin at 600 degrees will shed twice as much heat as a larger area fin at 300F.
The actual calculations are far more complex, of course. Each material type has its own thermal conductivity factor. And the air temp rises as heat is absorbed from a nearby fin surface. There is also density and humidity of air. When you drill down into the fundamentals, there are many and they are interactive.
When calculating needed fin area for power supply survival and realiability 30 years ago, I used spread sheets to determine if semiconductors would survive all the places the unit was intended to live in climates around the world. The aluminum heat sync selected was 10 inches long, by 4 inches wide, and had five fins along its length one inch tall. The ten heat generation devices were place equidistant on the flat surface of the heat sink. Outside air was fan forced at measured velocity across the fins. I had to make an environmental chamber to put the entire unit inside, then instrument various internal points with a data logging temperature recorder. For my power supply design, I had to change device locations and add baffles for air routing/concentration in order to have all the components keep their temps down into the survival and longevity acceptable regions. The heatsink locations farthest from the air supply would be hotter and get heat absorbed air, reducing its effectiveness at keeping devices within temperature tolerance. A factor I would later have to add to my spreadsheets.
Yes, engineering is tedious and fraught with details which are hard to factor in at the beginning of the design process. But, when you are making 100000 or more copies of the design and they must all be guaranteed to function where advertised. The details make that happen when they are all identified before production happens. And that is where the good engineer’s salary becomes justified and even economical for product profitability.
I’ll be keeping my exhaust fin flanges on my bikes. Good luck with your bike!
Cheers,