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Internal ballistics of a high velocity light gas gun

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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 + σyx

β:

is the constant occurring in rate of burning equation

α:

is the index of burning

References

  1. Crozier, W. D., and W. Hume, J. Appi. Phys.28 (1957) 892.

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  2. Corner, J., Theory of Interior Ballistics of Guns, John Wiley and Sons, Inc., New York, 1950.

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Authors

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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

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