Summary
In this communication the authors have given a theory of internal ballistics of a high velocity light gas gun in which the column of conventional propellant gas behind the shot is replaced by a light gas. This gun has been described in a recent communication1).
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Abbreviations
- A 1 :
-
is the area of cross-section of the piston
- A 2 :
-
is the area of cross-section of the shot
- W :
-
is the weight of the piston
- w :
-
is the weight of the shot
- x :
-
is the displacement of the piston from its original position
- y :
-
is the displacement of the shot from its original position
- V :
-
dx/dt is the velocity of the piston
- v:
-
dy/dt is the velocity of the shot
- A 1 l 1 :
-
is the capacity to the left of the left energy absorber minus the volume of the propellant
- l 2 :
-
is the distance between the two energy absorbers
- P 1 :
-
is the pressure to the left of the piston
- P 2 :
-
is the pressure to the right of the piston
- T 1 :
-
is the temperature to the left of the piston
- T 2 :
-
is the temperature to the right of the piston
- T 0 :
-
is the adiabatic flame temperature of the propellant
- σ:
-
A2/A1,P i andT i are the initial pressure and temperature of the light gas, assumed to be weightless
- n 1 :
-
is the number of moles of propellant gas contained in unit mass
- F :
-
n1RT0 is the force constant of the propellant
- n 2 :
-
is the amount of light gas in moles
- γ 1 :
-
is the ratio of the specific heat at constant pressure to that at constant volume of the propellant gases
- γ 2 :
-
refers to the light gas
- P 0 :
-
is the shot start pressure
- D :
-
is the websize of the propellant
- f :
-
is the fraction of remaining websize
- θ:
-
is the form factor of the propellant
- z :
-
is the fraction of charge burnt
- C :
-
is the charge weight
- ϕ:
-
l2 +l3 + σy −x
- β:
-
is the constant occurring in rate of burning equation
- α:
-
is the index of burning
References
Crozier, W. D., and W. Hume, J. Appi. Phys.28 (1957) 892.
Corner, J., Theory of Interior Ballistics of Guns, John Wiley and Sons, Inc., New York, 1950.
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Formerly at Princeton University. Princeton N.J., U.S.A.
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Sodha, M.S., Jain, V.K. Internal ballistics of a high velocity light gas gun. Appl. sci. Res. 7, 351–356 (1958). https://doi.org/10.1007/BF03184995
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DOI: https://doi.org/10.1007/BF03184995