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Pressure Changes by Barrel Length

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Yes, for BP cannons, there is an optimum powder charge that gives maximum velocity and range. Go to Prop IV near the bottom of this webpage for the calculations. It says, "So the length of charge for maximum muzzle velocity is 1/2.72 of the length of the barrel." In the case of the 28" barrel, the optimum powder charge would be 28/2.72 = 10.3 inches long. We would never load a 10" column of powder in a muzzleloader rifle, so in a practical sense there is no optimum powder charge for a maximum velocity in a muzzleloader rifle.

No, I suspect there is a problem with the GOEX 3Fg data with the 28" barrel. It shouldn't bend over like that.

I generated graphs for the Elephant powder data and the Pyrodex powder data. None of the pressure curves bend over like the questionable data for the 3Fg in the 28" barrel.

First the Elephant powder in the 24" barrel. The pressure curves are similar to the GOEX data in this barrel, but they are lower. There are also a couple of kinks in the 2Fg curve. The velocity curves are shaped as expected and lower than the GOEX velocities in this barrel. This matches with what I have heard about the Elephant powder. It's not as powerful or efficient as GOEX. It is also interesting that the difference between the 2Fg and 3Fg velocities are not as great as for the GOEX powders.
24-in-Barrel-load-data-Elephant.jpg


The Elephant powder in the 28" barrel. The pressure curves almost intersect at the lowest charge volume and do intersect between 110 and 120 grs. Not the expected behavior, but it is worth pointing out that the Elephant 3Fg powder in the 28" barrel does not bend over like the GOEX 3Fg data.
28-in-Barrel-load-data-Elephant.jpg


On to the Pyrodex data, this is for the 24" barrel. I chose to compare the Rifle/Shotgun granulation to the Pistol granulation thinking it would be a relative comparison for the 2Fg to the 3Fg black powder. Pyrodex doesn't appear to burn the same as real black powder as the velocity curves almost overlap each other.
24-in-Barrel-load-data-Pyrodex.jpg


The Pyrodex data in the 28" barrel. Again, the velocity data for the two granulations are almost the same. The pressure curves look more like some of the GOEX and Elephant curves in the 24" barrel.
28-in-Barrel-load-data-Pyrodex.jpg


I'm not going to show the graphs, but the velocity curves for Pyrodex RS and Select also overlay each other. In these two barrels, it doesn't appear to matter which granulation of Pyrodex one chooses to shoot. The velocities are pretty much the same for all three.

Looking at all these graphs, it appears that measuring consistent pressure data, even under laboratory conditions, is difficult to do.

Lyman had this to say about their procedures in testing:


I'm not sure what to make of this pressure data. Theoretically, one shouldn't see a difference in peak pressure with different barrel lengths, but in this data we do. The internal dimensions of the two barrels may be different and/or the finish or roughness of the barrels may be different. Too bad they didn't conduct the test by shortening the same barrel. But even with these differences, I would expect more consistency between the shapes of the curves in the same barrel with the different powders.

If the pressures are real, meaning the piezoelectric equipment was working right and measuring actual pressures accurately under controlled conditions and still getting this much variation, it makes me wonder what type of pressures we are getting in the field?

I'm still somewhat amiss with the charts in OPs post.
1. By them a 40 gn ff goex with prb in a 24" produces 6800 psi.
2. Same in 28" 4200.
3. To get 6800 in 28 you need just over 70gn load.
Is the 1 and 2 at 40gn more of description of loss of pressure in the extra 2" of barrel?
And why in 3, does it take near 2x more in the 28" to achive the pressure of 1? Seems it sould not take right at 2x more to get equal psi.
 
That's the reason the entire topic was made.
We are still trying to figure out why there are such large differences.

It appears based on plmeek's charts there are errors in the data for the 28" barrel pressures.
 
That's the reason the entire topic was made.
We are still trying to figure out why there are such large differences.

It appears based on plmeek's charts there are errors in the data for the 28" barrel pressures.
Ok. Guess I thought I was the only one confused with that specific thing. Read so much data, lost the point.
For sure a major miscalculation on their part. I know if I increase the grains from 70 to 85 in my 50cal it is very noticeable in power. Could not imagine doubling it.
Ouch.
I have a Kentucky 45, 1:60, Hawken 50 1:48 and 58 Zouave believe it's 1:66 and all of them shoot real good at 60-75 gns. I was really surprised the Zouave recommend is 60. I figured it would be around 85. Anyway, from seeing this chart compared to 40 years of shooting bp I was like, holly cow.
 
Just read in Internal Balistics where they tested a 50 and a 54, same barrel length shooting prb.
The 50, 90gns, shot with same energy as the 54 with 80gns.
For sure not same example as OPs chart but does support the discrepancy within the chart. Should never take at or near 2x load to achive equalizing pressures in 2 extra inches of barrel regardless on bore diameter.
 
So as you go down in caliber (and projectile weight) it would stand to reason that pressures would be less as well? E.g.; 50 gr, FFFg in a 50 / 45 / 40 / 36 cal would have decreasingly lower pressures than the ~5500 psi indicated for the 54 cal in a 28" barrel, correct?
 
So as you go down in caliber (and projectile weight) it would stand to reason that pressures would be less as well? E.g.; 50 gr, FFFg in a 50 / 45 / 40 / 36 cal would have decreasingly lower pressures than the ~5500 psi indicated for the 54 cal in a 28" barrel, correct?
Considering the difference of a 50 is -4/100 it stands to reason that 10gns is very little for the 50 to achive same energy as 54. As opposed to near or at 2x load to achive same in 2 extra inches of barrel.
 

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