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Interior Ballistics

Determination of Pressure Profiles Behind Projectiles During Interior Ballistic Cycle

[+] Author and Article Information
Dejan Micković

e-mail: dmickovic@mas.bg.ac.rs

Predrag Elek

University of Belgrade,
Faculty of Mechanical Engineering,
Kraljice Marije 16,
Belgrade 11120, Serbia

Dragana Jaramaz

University UNION-Nikola Tesla,
Faculty of Civil Management,
Cara Dušana 62-64,
Belgrade 11000, Serbia

Dušan Micković

University of Belgrade,
Faculty of Mechanical Engineering,
Kraljice Marije 16,
Belgrade 11120, Serbia

1Corresponding author.

Manuscript received June 28, 2012; final manuscript received August 23, 2012; accepted manuscript posted January 13, 2013; published online April 19, 2013. Assoc. Editor: Bo S. G. Janzon.

J. Appl. Mech 80(3), 031402 (Apr 19, 2013) (5 pages) Paper No: JAM-12-1272; doi: 10.1115/1.4023312 History: Received June 28, 2012; Revised August 23, 2012; Accepted January 13, 2013

The determination of pressure profiles behind a projectile has been a subject of investigations for more than 70 years. For lumped parameter models it was especially important to determine the pressure on the projectile base, pressure on the chamber base, and pressure for the propellant burning law. In the paper two analytical methods and one numerical method are considered. The analytical methods of proportionate expansion and two-phase mixture are studied. Pressure profiles are also computed numerically by TWO Phase Interior Ballistics (TWOPIB) code, which is based on the model of two-phase flow of solid propellant and its products of combustion, treated as separate phases with appropriate conservation laws and interactions between phases. Through comparison with experimental results on the real weapon system TWOPIB code showed great advantages over analytical methods.

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References

Serebrjakov, M. E., 1962, Interior Ballistics of Guns and Solid Propellant Rockets (in Russian), Oborongiz, Moskow, Russia.
Corner, J., 1952, Theory of the Interior Ballistics of Guns, John Wiley Sons, New York.
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Gough, P. S., and Zwarts, F. J., 1977, “Modeling Heterogeneous Two-Phase Reacting Flow,” AIAA/SAE 13th Propulsion Conference, Orlando, FL, July 11–13, AIAA Paper No. 77-855. [CrossRef]
Cuche, C., Dervaux, M., Nicholas, M., and Zeller, B., 1981, “Mobidic: A French Interior Ballistic Code Based on a Two Phase Flow Model,” 6th International Symposium on Ballistics, Orlando, FL, October 27–29, pp. 85–93.
Celmins, A. K. R., and Schmitt, J. A., 1983, “Modeling of Gas-Solid Phenomena in Interior Ballistics,” 7th International Symposium on Ballistics, The Hague, The Netherlands, April 19–21, pp. 27–36.
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Jaramaz, S., and Micković, D., 1995, “Modelling Two-Phase Flow of Gas-Solid Particles Mixture During Combustion,” Theo. Appl. Mech., 21(1), pp. 47–59.
Robbins, F. W., and Keller, G. E., 1986, “Studies Supporting Development of a Modified Gradient Equation for Lumped-Parameter Interior Ballistic Codes,” Technical Report No. BRL-MR- 3678, Aberdeen Proving Ground, MD.
Hansen, E. C., and Heiney, O. K., 1987, “Pressure and Gas Flow Gradients Behind the Projectile During the Interior Ballistic Cycle,” 10th International Symposium on Ballistics, San Diego, CA, October 27–29.
Micković, D., 2002, “A Method of Interior Ballistic Cycle Computation (KGRAD Code),” (in Serbian), Technical Report No. ME-0253, Faculty of Mechanical Engineering, Belgrade, Serbia.
Micković, D., and Jaramaz, S., 2001, “Two-Phase Flow Model of Gun Interior Ballistics,” 19th International Symposium on Ballistics, Interlaken, Switzerland, May 7–11, pp. 65–72.
Jaramaz, S., Micković, D., and ElekP., 2011, “Two-Phase Flows in Gun Barrel: Theoretical and Experimental Studies,” Int. J. Multiphas. Flow, 37, pp. 475–487. [CrossRef]

Figures

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Fig. 1

Gas velocity distribution behind a projectile

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Fig. 2

Gun bore with enlargement of cross-sectional area in propellant chamber

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Fig. 3

Schematic drawing of 100 mm APFSDS ammunition

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Fig. 4

Experimental 100 mm gun

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Fig. 5

Experimental and computational pressure profiles behind a moving projectile located at 1.93 m from the breech

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Fig. 6

Experimental and computational pressure profiles behind a moving projectile located at 5.3 m from the breech

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