Determining optimal barrel length for a projectile

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SUMMARY

The optimal barrel length for the M855 cartridge, which features a 62-grain projectile and utilizes WC-844 propellant, is determined to be 20 inches for maximum velocity. Longer barrels allow for complete propellant combustion and increased rifling interaction, enhancing projectile stability. However, excessive barrel length can introduce detrimental "whip" effects and friction that may reduce velocity after peak pressure. A balance must be struck to ensure sufficient length for propellant burn and stabilization without incurring negative effects from barrel whip.

PREREQUISITES
  • Understanding of interior ballistics
  • Knowledge of propellant burn rates, specifically WC-844
  • Familiarity with projectile stabilization and rifling effects
  • Basic principles of firearm mechanics and barrel dynamics
NEXT STEPS
  • Research formulas for calculating optimal barrel length for various cartridges
  • Explore the impact of rifling twist rates on projectile stability
  • Study the relationship between barrel length and velocity in different firearm calibers
  • Consult the Speer Reloading Manual for detailed ballistic data and load tuning techniques
USEFUL FOR

Firearm enthusiasts, ballistic engineers, and gunsmiths seeking to optimize projectile performance and understand the dynamics of barrel length in relation to specific cartridges.

Rpbarry58
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Hello, I was wondering of anybody has a formula to determine the optimal barrel length for a firearm using a particular cartridge? For example, the M855 cartridge which has a 62gr. projectile and uses WC-844 propellant, which has a known burn rate etc.

The longer the barrel, the more susceptible to barrel "whip" the barrel would be; however, a longer barrel allows both the complete burning of the propellant as well as increased travel through the barrel's rifling which imparts spin on the projectile to stabilize it in flight...although I would think there would be a point of diminished returns where the friction of traveling down the barrel after peak pressure is achieved by the combustion of the propellant would perhaps slow the projectile down.

On the other hand, the shorter the barrel, the less "whip" should be encountered but the barrel must be of sufficient length to allow both complete burning of the propellant as well as allowing the rifling to impart enough spin on the projectile to stabilize it in flight.

For the aforementioned cartridge I used as an example...maximum velocity was apparently achieved with a barrel length of 20 inches, with an increasing drop in velocity with shorter barrel lengths.

I realize that this is ignoring rifling twist rates and other factors...I just am wondering if there is a formula out there which can be used to determine, to at least a ballpark value, optimal barrel length based on the specifics of a particular cartridge.
 
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Speer Reloading Manual has information on this, too. It is possible to tune a load such that you minimize group size.
 
Thank you for your replies.
 
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