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Originally Posted by BrianG
Any heatsink really has two parts; mass to pull heat away from whatever it is cooling; and surface area to dissipate that to the air. In my experience, tall fins don't work as well as shorter fins because the heat has to travel all the way up each fin. The only advantage to having tall fins is that more air goes through it.
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It is more complicated...
Depends on material of heatsink (heat transfer properties...) so longer fins (higher differential temp) will do better jobs on materials with higher heat transfer rates.
As example copper will work better with long fins while aluminum not. But fins configuration and flow design can improve that process.
And you can make thinner copper heatsink with longer fins, but complexity and mechanical softness will be a major problem.