An astute question, and one for which I do not have the right math handy. Suffice it to say that the proportion of case capacity to barrel volume is something for which the barrel length can be optimized for velocity. Accuracy is another matter and the optimum barrel length is not likely to be the same.
Tom
If anyone here cares enough for me to take the time and trouble, I'll compile some examples showing data for two things, which I'll explain here first. I must add, BTW, that what I'm about to say isn't personal theory or wild guesswork � it's sound interior-ballistics lore that sadly hasn't trickled down to us through "laymen's" firearms literature.
All the powder that's going to burn has already burnt by the time the bullet reaches a certain point in the bore, called "all burnt." Usually, there's still a bit more barrel left between "all burnt" and the muzzle. If some of the powder charge has NOT burnt by this point, it isn't going to burn at all.
Burning all the powder isn't what the "extra" barrel length is good for. Burning converts solid powder into a very hot gas under rapidly increasing pressure, and the gas expands rapidly. It's still expanding when the base of the bullet leaves the muzzle. Muzzle pressure varies somewhat, but it's substantial. Giving the expanding gas confined room to accelerate the bullet is the purpose of the barrel forward of "all burnt."
Experiments have shown, or so I've heard, that a centerfire barrel long enough to let the gas expand to its full potential volume has to be quite a few YARDS long. At least one experimenter I've heard of checked this out by joining barrels end-to-end until velocities starting dropping off.
If asked, I'll compile a list of several loads, with the figures for how much of the total charge burns, how far down the barrel it stops burning ("all burnt"), and the pressures at the maximum (peak) and at the muzzle.
Heck, I may do it anyway. I've seen piles of these figures but just noted them and went on with what I was more interested in. Maybe they'll be useful or interesting to somebody else one of these days.
The longer barrel will "whip" more than a short stiff one. Barrel whip affects accuracy. Good accuracy depends upon getting the whip of the barrel to be in the same position every time the bullet leaves the muzzle.
Change bullets, load, velocity, or even case capacity and the whip harmonic changes.
But then, that's why people can get graduate degrees in ballistics.
Ken, I'd like to see some data if it's not too much of a problem. I had a link to some internal ballistic data from US Army Artillery school. Let me see if I can find it.
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PowderBurns Black Powder / Muzzle Loading Forum:
Under normal conditions (wind) at long ranges, velocity reduces error caused by wind variations (or errors reading the wind), to such an extent that longer barrels yield better hits at 1000 yards even though they might not do as well at 100 yards in a windless tunnel. For that reason you will see 1000 yard rifles with barrels out to 32 inches or so.
If you shoot from the NRA prone position barrel weight can extract a toll by the end of a string. I would say 26-28 inches is a good 1000 yard barrel length. If you can/could flute it without destroying it's accuracy, you might go 30-32 inches. If you shoot from bags/bench/bipod, the weightdoes not matter much. Lilja, Krieger, and K&P are famous for these long-range barrels. Pac-Nor now lists them as well.
Don
Tha was my understanding also. 21.5" is optimal for a very specific set of requirements.
Don
However,
3) A shorter barrel is less 'whippy'
4) A longer barrel is more 'whippy'
Sooo...
You need to find the longest barrel that allows the greatest rigidity for the best accuracy. Hence the 2" or more tube on a bench gun (long & rigid).
It's a good read just for the background info alone.
QUOTE: Great barrels can remain great even if fluted. It takes cut rifling not button rifling. We take a blank and drill it. Then we taper it if called for or just clean up the exterior. It then gets fluted, and put back in the machine for reaming. All the reamers get pulled through to get the bore to size. It is then transferred to the cut rifling machine where the grooves are cut in. Using this method, which takes no more than usual except for adding the fluting, you get an accurate barrel without the distortion imparted by fluting after a button is pushed or pulled through a bore.
Try air gauging a button barrel after fluting without the required lapping, watch the bubble bounce or even better just try to push a patch through. Lapping is absolutely required.
Currently I have 11 of these barrels shooting on a variety of firearms from field to full bench guns. All shoot better than I can shoot them which might indicate that I need help shooting! Anyway go to www. cutrifle.com and look at Dan Pedersen's work on barrels.
Shoot what you aim at and make it a small group.
Bill
cutrifle
See for yourselves. Anybody got one of these? Their Magnum action makes me drool.
Don
I THINK:
1. Short barrels are more accurate.
2. Long barrels get higher velocitys
3. Long barrels shoot better offhand.
4. Much of what we are lead to believe is
based on sales hype and gunwriters
trying despertly to hang in there and
make a living writing about something
that hasn't been written before..Lord
help'em...
5. I will exclude our own Ken Howell from
this accuzation, he's writes some good
stuff, along with his co-hart, Ken
Waters...
6. I repeat, this is what I THINK, I don't
claim it to be the last word in gunology.
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Ray Atkinson