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What makes a cartridge efficient

There we go, so doubling the capacity doesn't double the output. Even tripling the capacity doesn't give us double the velocity.
"So there is a point of diminishing return. Some small cases can push same bullet almost as fast as same caliber bigger cases."
That's what I have been asking since start of this thread, why is that?
The issue is that the energy is proportional to the velocity squared!This is why doubling the amount of powder doesn't double the velocity.
 
Av

There are several reasons, "Why is that",

Some of them are,
The TYPE of propellants we use,

The type of cartridge case MATERIAL we use,
brass/primer pockets only works well to about 65,000 psi,
then things start to get on the ragged edge,
and weapons/loads can go "BOOM" in a heart beat.

The design and strengths of weapons we use,
plus others items,
BUT, work very well to a certain point.

I am speaking in general terms,

To give you some info and answer to you question,
here is what would be needed to DOUBLE the speed of the first case example,

17 cal-29 gr bullet @ 43000 psi-22" bbl= 1850 fps= 1.77 grs of Bullseye powder = 50.5% ballistic efficiency.
17 cal-29 gr bullet @ 172912 PSI- 22" bbl = 3700 fps = 8.85 grs of Bullseye powder = 40.4% BE.

As you can see, the case is the first limiting factor,
the second is the strength of the weapon, plus other factors.

Tia,
Don

Thank you for more eloquently illustrating my points, with actual measured results to prove them.

As everyone can see above, NVreloader has established controls in order to isolate/test/quantify another. That form of scientific testing procedure was exactly what I've been stressing, all along.
Apologies to those who couldn't deduce that on their own...
 
Did anyone notice that when the FPS was doubled,
that the ballistic efficiency dropped by over 10%,
when everything was kept the same except the amount of powder used...

Why do you think that happened??

Tia,
Don
-----------------------------------------------------------------------------------------
To give you some info and answer to you question,
here is what would be needed to DOUBLE the speed of the first case example,

17 cal-29 gr bullet @ 43000 psi-22" bbl= 1850 fps= 1.77 grs of Bullseye powder = 50.5% ballistic efficiency.
17 cal-29 gr bullet @ 172912 PSI- 22" bbl = 3700 fps = 8.85 grs of Bullseye powder = 40.4% BE.

Tia,
Don
 
Did anyone notice that when the FPS was doubled,
that the ballistic efficiency dropped by over 10%,
when everything was kept the same except the amount of powder used...

Why do you think that happened??

Tia,
Don
-----------------------------------------------------------------------------------------
To give you some info and answer to you question,
here is what would be needed to DOUBLE the speed of the first case example,

17 cal-29 gr bullet @ 43000 psi-22" bbl= 1850 fps= 1.77 grs of Bullseye powder = 50.5% ballistic efficiency.
17 cal-29 gr bullet @ 172912 PSI- 22" bbl = 3700 fps = 8.85 grs of Bullseye powder = 40.4% BE.

Tia,
Don
Imagine how quick that tiny .17 bore would erode pushing that much gas through it trying to gain a little more speed. That's 'IF' it didn't blow up with roughly 173,000psi. You'd be needing a cannon breech to hold everything together and imagine how large of an outside diameter barrel you'd need to get enough strength to hold everything together.. Factor all that in and I'd have to say the efficiency factor would drop even more.
 
Late to the discussion on this one, but I'll chime in with some added thoughts.

I've always thought of "cartridge efficiency" as something generally having to do with the shape of the case and how efficiently it turned a given amount of powder into velocity, all else being equal. I observe that most of the time when people talk about "efficient" cartridges, they tend to be shorter, fatter case shapes.

I do use Quickload and the way that it models powder burn, pressure, and velocity is pretty simple. Choose a powder (with associated burn characteristics), give it all the cartridge dimensions so that it can calculate the volume of the combustion chamber, tell it how heavy of a bullet and how long of a barrel it has to work with.... and it spits out a predicted velocity. None of that has anything to do with "efficiency", it's just calculations based on volume and burn rates.

However, there is one field in Quickload called "Weighting Factor". This is a subjective field that the end user gets to adjust. The popup help menu describes it like this:

Factor representing fraction of unburned charge and produced propellant gases that move forward with the bullet.

Reasonable Default Values:
0.75 cylindrical cases
0.5 typical bottleneck cases
0.33 "Overbore" bottleneck cases


Adjusting this field in Quickload can result in a 100fps velocity swing, as well as changes in pressure. The 0.75 rating will give higher pressure and lower velocity. The 0.33 "Overbore" rating will give lower pressure and higher velocity.

Now setting aside Quickload, this concept makes a lot of sense to me. Some case shapes are going to be more efficient because they do a better job of turning the powder into gas, without launching the unburnt or partially burning powder down the barrel along with the bullet (which takes up energy).
 
Good point on weighing factor.

I frequently "tune" weighing factor in Quickload in order to get #s to jive with some overbore hotrods. 0.40 is about the lowest I've had to go to achieved a good match to measured chrono data and actual weighed h20 capacity of a given cartridge...
 
Interesting thread. Just signed on here. 45 years gunsmithing and cartridge efficiency always interested me. P. O. Ackley was a proponent of efficiency. I found case to bore capacity ratio was the main driver with some contributing factors like shoulder angle & body shape. All the neck up wildcats were efficient. 6x47, 338/06, 35 whelen 375/338 etc. as are many of the BR calibers & AR platform designs.
 
Ballistic efficiency is the ratio of the kinetic energy of the projectile to the total energy released by the propellant. The kinetic energy of the projectile (at the muzzle) is 0.5mv^2. (Efficiency is about comparisons, so you can ignore the absolute size of the numbers and just think about comparing them across loads.) The energy released by the propellant is the product of the volume of the propellant and the volumetric energy density of the powder. QuickLOAD shows you powder energy density, which usually falls in the range 3-4 kilo-Joules per cubic centimeter. QuickLOAD also displays projectile energy in Joules (which, again, varies with bullet weight and muzzle velocity), and ballistic efficiency as a percentage, in the lower-right corner.

For example, a 280 AI with a 27" barrel shooting a 180-grain Berger VLD-H, starting with a COAL of 3.579", at 70 degrees F, in front of 57.6 grains of IMR 4831, achieves 31.8% ballistic efficiency. That's a pretty good number, even though the muzzle velocity is a modest 2,855 fps. IMR 4831 only has an energy density of 3.2 kJ/cm^3. Switch to 64.6 grains of RL-26 (energy density 3.9 kJ/cm^3) and you'll get a muzzle velocity of 2,995 fps at an efficiency of 29.7%. Less efficiency, more speed. Which do you care about?

Many factors can influence ballistic efficiency. Choice of cartridge, barrel length, brass (with a given internal volume), bullet weight (which resists acceleration, and other bullet characteristics, e.g. the surface area of the bullet shank, which relates to barrel friction, and the cross-sectional area of the bullet), powder (which has properties such as energy density and burn rate)--these and more can affect how well the powder pushes the bullet in a given gun on a given day. For example, a powder that burns too slowly for the barrel length, cartridge, bullet, etc. won't burn completely (QuickLOAD: "Amount of Propellant Burnt," bottom left corner of the lower-right window), and so won't transfer as much energy to the bullet before the bullet escapes the barrel. That would be an "inefficient" powder in that situation.

The hypothesis that a "short, fat" cartridge is in some sense inherently more efficient than a "long, thin" cartridge depends in part on assumptions about powder energy density and burn rate. Spend some time experimenting with QuickLOAD or Gordon's Reloading Tool, learning to match powders to bullets, cartridges, and gun characteristics such as barrel length, and you'll see that many variables affect ballistic efficiency--that it's by no means simply a property of a given cartridge geometry. Traditional "long, thin" cartridges such as the 280 AI can achieve pretty high efficiencies with the right combination of bullet, powder, and barrel length. My impression from years of doing this sort of analysis (using QuickLOAD) is that the ratio of brass length to brass diameter has a modest effect on ballistic efficiency (and is mostly overshadowed by other practical considerations). My theory about why this might be so has to do with the ability to burn the entire (relatively short) powder column well before the bullet escapes the barrel, so all of the powder has converted to hot gas sooner and so pushes (as much as possible, because we've created as much hot gas as possible behind the bullet) longer. That may mean we can reduce a barrel length from 26" to 24" to achieve a full burn at a given muzzle velocity.

The tradeoff--if that theory is correct--is that you get higher pressure peaks by using faster-burning powders. Higher peak pressures burn throats faster and may make it harder to achieve low extreme spreads in muzzle velocity. Also, less total powder means a short/fat case can't push the heaviest bullets of a given diameter as fast as cases having higher volume (long/fat cases like the 7mm Rem. Mag., the 300 RUM, or the notoriously inefficient 30-378 Weatherby, whose long free bore is designed to let hot gases blow around the bullet at the moment of ignition, to avoid excess peak pressures while leaving a huge amount of powder to propel the bullet after that first moment). At some point the only way to push the heaviest-for-caliber bullets is to put a whole bunch of powder behind them.

I have come to prefer cartridges that like very slow-burning powders, which can continue to burn more steadily and hence increase the amount of gas at a more nearly uniform rate, thereby flattening out the pressure curve (QuickLOAD: red bell curve, lower left), as the volume inside the barrel (behind the bullet) increases with the bullet's forward travel. In my experience this approach achieves high muzzle velocities with low extreme spreads, often keeping peak pressures under or near 60kpsi, where fast throat erosion becomes pronounced. (Cartridges such as the 6mm CM have been designed precisely to allow the use of very slow-burning powders for a given bullet diameter, to achieve high muzzle velocities while extending barrel life by avoiding high peak pressures. For me this has become an important consideration. Barrels are expensive, and sometimes a barrel swap means doing without a rifle for months.) This formula consistently lets me find sub-half-MOA loads just shooting a 10-shot ladder.

For example, using slow-burning powders that I selected for high energy content and high fill ratios, and shooting long-for-caliber high-BC projectiles, I easily exceed 3,000 fps with terrific long-range retained kinetic-energy levels (and sub-half-MOA accuracy) for a range of hunting calibers:

264 Win Mag 26" 156 grains RL-33 (3.8 kJ/cm^3) 3,155 fps 62 kpsi 24% efficiency
280 AI 27" 180 grains RL-26 (3.9 kJ/cm^3) 3,035 fps 57 kpsi 29% efficiency
300 RUM 28" 230 grains LRT (3.8 kJ/cm^3) 3,086 fps 60 kpsi 24% efficiency

None of these has a short, fat case. All have enough efficiency to carry over 1,500 ft-lbs of energy to an elk at distances way beyond those most of us can ethically hunt, and to get there with a fairly flat trajectory and low wind drift, maximizing the probability of hitting the target at 600 yards and beyond. And by keeping the peak pressures down a bit I can hope to extend the lives of the barrels in my 264 and 300, which have reputations as barrel burners.

The more interesting question about efficiency, in my opinion, is not the comparison across calibers, bullet weights, and barrel lengths, but the comparison for a single combination of bullet (diameter, weight, model) and barrel length--especially for the particular bullet I want to hunt. No, the 300 RUM is nowhere near as efficient as the 280 AI in the above comparison, and maybe not as efficient as a 300 PRC or 300 Win Mag shooting a lighter bullet than the 230. But among 300s able to push a 230-grain bullet to 3,000 fps, it's hard to improve much on the RUM. Shorter, fatter 300 mags (like the Norma) improve on the efficiency for lighter bullets, but their case capacity limits how much they can push the heavy 230. Shooting a 230 at 3,000 fps means I have little reason to buy a 338: most of them wouldn't give me a meaningful increment of kinetic energy or hit probability, out where it matters. They'd just kick harder and cost more to load.

In some cases a short/fat cartridge will let you use a short action (maybe a shorter barrel), saving you a quarter or half pound of rifle weight. If you're hunting and the weight matters, diet for a week before you hit the trail, and you'll lighten your load by a pound easy. Otherwise, unless you're really trying to minimize kick (especially for competitive shooting or varminting), bear in mind that efficiency is just one consideration among many. If you already have a 7mm Rem. Mag., don't buy a 7 PRC. Just buy or load the heaviest bullet your rifle's twist rate will handle at the altitude and temperatures you hunt. You might be surprised at how quickly all considerations of efficiency dwindle.
 
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Ballistic efficiency is the ratio of the kinetic energy of the projectile to the total energy released by the propellant. The kinetic energy of the projectile (at the muzzle) is 0.5mv^2. (Efficiency is about comparisons, so you can ignore the absolute size of the numbers and just think about comparing them across loads.) The energy released by the propellant is the product of the volume of the propellant and the volumetric energy density of the powder. QuickLOAD shows you powder energy density, which usually falls in the range 3-4 kilo-Joules per cubic centimeter. QuickLOAD also displays projectile energy in Joules (which, again, varies with bullet weight and muzzle velocity), and ballistic efficiency as a percentage, in the lower-right corner.

I think that the discussion here of "efficiency" is completely different than the Quickload definition of ballistic efficiency. Quickload's definition is all about what percent of chemical energy is turned into velocity energy per grain of powder. I think most people here would think of "efficiency" as how good a case was at turning a given quantity of powder into bullet speed.

Example - I can make a 105 grain bullet go 2900fps with 32 grains of Varget if I use a Dasher. With a 243 it would take over 37 grains of Varget to go the same speed. The Dasher is more "efficient". Assuming you're working within the cartridges pressure capability, the smaller case is going to be more efficient.

When it comes to case shape and "efficiency", that's probably best described in Quickload under the "Weighting Factor" field. It's defined by Quickload as "Factor representing fraction of unburned charge and produced propellant gases that move forward with the bullet. Reaonable default values 0.75 cylindrical cases, 0.5 typical bottleneck cases, 0.33 "overbore" bottleneck cases." Essentially it's lost energy and extra recoil from having the powder charge being pushed forward rather than just the bullet accelerating.

The Dasher has a weighting factor of 0.4 in Quickload, the 243 has a weighting factor of 0.65. Adjusting the weighting factor has a big effect on velocity, if you gave the 243 the same weighting factor of the Dasher it predicts velocity almost 80fps higher.
 

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