Significant Parameters for the Expansion of Propellant Gases in an Idealized Gun

Abstract

In a previous memorandum (NOLM 10819), a method was developed to calculate the muzzle velocity and acceleration of a projectile in an idealized gun. It was shown that an accurate method is available and that, given the ratio of charge mass to projectile mass, G/M, the value of the excluded volume in the Abel equation of state, and the initial values of the pressure and temperature, the motion of the projectile within the gun barrel could be calculated for all values of the ratio of specific heats. The present report deals with the problem of simplifying the calculations by reducing the number of parameters to a minimum. It is shown here that for a given gas or gas mixture the problem can be formulated in such a way that the only arbitrary parameter is the ratio G/M. As a result of this investigation it is possible to calculate by the method developed, a single curve giving the velocity of the projectile in the idealized gun barrel for a given value of G/M. This single curve then, by a simple change of scale, yields the velocity of the projectile in the gun for different initial distances between a projectile and breech, for different values of excluded volume, and for different initial pressures and temperatures. The reduction in the calculation labor is significant.

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Document Details

Document Type
Technical Report
Publication Date
Feb 19, 1951
Accession Number
AD0895229

Entities

People

  • W. H. Heybey

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Gun Barrels
  • Guns
  • Munitions
  • Muzzle Velocity
  • Ordnance Laboratories
  • Personality
  • Projectiles
  • Propellants
  • Specific Heat

Fields of Study

  • Engineering
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Marksmanship and Weaponry.
  • Mathematics or Statistics