Here's a little bit of substance.... Post number 2, but there is other good info as well.
www.shotgunworld.com/bbs/viewtopic.php?f=12&t=238661&start=0
You read the writings of an idiot. Of course the powder is burned
in the first 18 inches of barrel. Actually it is burned in about the
first 1/2 inch of the barrel. Modern powder requires pressure in
order to burn, and if enough pressure is not there it will fissile out.
Once it gets this pressure it burns very fast, like in the first little
space while still in the chamber. This is where max chamber pressure
is accomplished. A typical load might be that this powder is burned
and generates a chamber pressure of about 10,000 psi when the
shot charge has only moved about a half an inch. From there on
the pressure reduces. If max pressure is at 1/2 inch, then when
the shot has moved one inch, the exploded gas has about twice
as much room to house it, so the pressure is reduced by about
half. Now the pressure has reduced to about 5,000 psi. and
the shot has moved twice as far, one inch if max pressure was
at 1/2 inch. The pressure continues to reduce as the shot moves
further down the barrel. When the shot again moves out to 2 inches
of travel the gas has now twice as much space as it did when the
shot had moved to 1 inch. Now the pressure drops by half again.
Now the pressure is only about 2500 psi. This continues on down
the barrel. As the shot once again moves the distance it already
moved, the available space is now doubled and the pressure
reduced by half again. Here is the way pressure and distance
continued down the barrel:
pressure___distance
10,000____1/2 inch
5,000_____1 inch
2,500_____ 2 inches
1,250_____4 inches
675_______8 inches
338_______16 inches
169_______32 inches
So you can see that as the barrel gets longer the amount
of pressure drops. A longer barrel gives you more velocity,
but as it gets longer, the gains become smaller, because
the remaining pressure is doing less and less.
This idea that 18 inches is magic and anything longer than this
gives no more velocity is pure fiction, and the explanation for
this being that once powder is burned it stops putting pressure
on the shot load is also pure bunk.