OK, now for some speculation.
Here is a page from a loading manual that has certain loads for a 38spl. I have used
SOME of the loads from this section of the manual.
THAT IS NOT WHAT I WANT THE FOCAL POINT OF THIS POST TO BE What I want to focus on is the velocity from the rounds on this page versus the same load from a shorter barrel.
These ones were tested in a 6" one:
These were tested in a 2" barrel, notice the differences:
Again, don't focus on the load information, I'm not commenting on any of that. Look at the difference between the same loads from barrel length to barrel length. Figure out if there is something you can use to extrapolate to satisfy your curiosity.
If not, do your part for the economy and follow my first suggestion!