0
Interior Ballistics

Application of Eulerian–Lagrangian Approach to Gas-Solid Flows in Interior Ballistics

[+] Author and Article Information
Hyung-Gun Sung

e-mail: seaoffall@gmail.com

Jin-Sung Jang

e-mail: jjjjaaanng@hanmail.net

Tae-Seong Roh

e-mail: tsroh@inha.ac.kr
Aerospace Engineering,
Inha University,
Incheon 402-751, Korea

Manuscript received August 1, 2012; final manuscript received October 18, 2012; accepted manuscript posted January 9, 2013; published online April 19, 2013. Assoc. Editor: Bo S. G. Janzon.

J. Appl. Mech 80(3), 031407 (Apr 19, 2013) (8 pages) Paper No: JAM-12-1363; doi: 10.1115/1.4023317 History: Received August 01, 2012; Revised October 18, 2012; Accepted January 09, 2013

In a gun system, polydisperse phenomenon may occur due to the local combustion by an igniter system during the firing process. The Eulerian–Eulerian approach still lacks the capability of describing particle mixing under given conditions. A detailed insight of the interior ballistics must be predicted for the better safety and the lower cost at the development stage. The multiphase particle in cell (MP-PIC) model based on the Eulerian–Lagrangian approach, known to be more efficient than the conventional Eulerian–Lagrangian approach, has been initially applied for the simulation of the interior ballistics. A good efficiency with the MP-PIC model has been obtained in terms of the computational cost. The axisymmetric numerical code with the MP-PIC model has been developed for two-dimensional analysis of the interior ballistics. As part of the verification process for the code, several test computations have been performed: sod shock tube, free piston motion problem, and virtual gun calculated by IBHVG2 code. The code has become reliable with well-agreed results with the comparison data. Additionally, a numerical model for the orifices to describe the vent holes of the igniter on the coarse grid has been developed with the lumped parameter method used in the IBHVG2. Based on the model, the pressure behavior in the gun chamber according to the igniter length has been investigated. The computational results have shown that the negative differential pressure occurs clearly when the igniter is sufficiently short.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Miura, H., and Matsuo, A., 2006, “Numerical Simulation of Projectile Accelerator Using Solid Propellant,” 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 9–12, AIAA Paper No. 2006-1439. [CrossRef]
Mickovic, D., and Jaramaz, S., 2009, “Igniter Function: Experimental and Theoretical Studies,” Propellant, Explosives, Pyrotechnics, 35(3), pp. 254–259. [CrossRef]
Miura, H., Mastuo, A., and Nakamura, Y., 2008, “Multi-Dimensional Simulation on Ignition Stage of Granular Solid Propellant Varying Primer Configuration,” Int. J. Energ. Mat. Chem. Propul., 7(6), pp. 507–522. [CrossRef]
Jaramaz, S., Mickovic, D., and Elek, P., 2011, “Two-Phase Flows in Gun Barrel: Theoretical and Experimental Studies,” Int. J. Multiphase Flow, 37(5), pp. 475–487. [CrossRef]
Miura, H., Mastuo, A., and Nakamura, Y., 2011, “Three-Dimensional Simulation of Pressure Fluctuation in Granular Solid Propellant Chamber Within an Ignition Stage,” Propellant, Explosives, Pyrotechnics, 36(3), pp. 259–267. [CrossRef]
Gough, P. S., 1995, “Initial Development of Core Module of Next Generation Interior Ballistic Model NGEN,” ARL-CR-234.
Gollan, R. J., Johnston, I. A., O’Flaherty, B. T., and Jacobs, P. A., 2007, “Development of Casbar: A Two-Phase Flow Code for the Interior Ballistics Problem,” 16th Australasian Fluid Mechanics Conference, Gold Coast, Australia, December 2–7, pp. 259–302.
Nussbaum, J., Helluy, P., Herard, J. M., and Baschung, B., 2011, “Multi-Dimensional Two-Phase Flow Modeling Applied to Interior Ballistics,” ASME J. Appl. Mech., 78, p. 051015. [CrossRef]
van der Hoef, M. A., van Sint Annaland, M., Deen, N. G., and Kuipers, J. A. M., 2008, “Numerical Simulation of Dense Gas-Solid Fluidized Beds: A Multiscale Modeling Strategy,” Annu. Rev. Fluid Mech., 40, pp. 47–70. [CrossRef]
Sung, H.-G., 2012. “Study on Characteristics of Interior Ballistics With Gas-Solid Flow Through Eulerian-Lagrangian Approach,” Ph.D. thesis, Inha University, South Korea.
Toro, E. F., 1997, Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction, Springer, Berlin.
Ronald, D. A., and Kurt, D. F., 1987, “IBHVG2—A User's Guide,” BRL-TR-2829.
Acharya, R., and Kuo, K., 2010, “Implementation of Approximate Riemann Solver to Two-Phase Flows in Mortar Systems,” ASME J. Appl. Mech., 77, p. 051401. [CrossRef]
Baer, M. R., and Nunziato, J. W., 1986, “A Two-Phase Mixture Theory for the Deflagration to Detonation Transition in Reactive Granular Materials,” Int. J. Multiphase Flow, 12(6), pp. 861–889. [CrossRef]
Zeghal, M., and El Shamy, 2004, “A Continuum-Discrete Hydromechanical Analysis of Granular Deposits Liquefaction,” Int. J. Numer. Anal. Methods Geomech., 28, pp. 1361–1383. [CrossRef]
Crowe, C. T., Sharma, M. P., and Stock, D. E., 1977, “The Particle-Source-in Cell (PSI-CELL) Model for Gas-Droplet Flows,” ASME J. Fluids Eng., 99(2), pp. 325–332. [CrossRef]
Patankar, N. A., and Joesph, D. D., 2001, “Modeling and Numerical Simulation of Particulate Flows by the Eulerian-Lagrangian Approach,” Int. J. Multiphase Flow, 27, pp. 1659–1684. [CrossRef]
ErgunS., 1952, “Fluid Flow Through Packed Columns,” Chem. Eng. Prog., 48(2), pp. 89–94. [CrossRef]
Shima, E., 2008, “A Compressible CFD Method for Flow With Sound From Very Low Mach Number to Supersonic,” 6th International Colloquium on Bluff Bodies Aerodynamics and Applications, Milano, Italy, July 20–24.
Chertock, A., and Kurganov, A., 2008, “A Simple Eulerian Finite-Volume Method for Compressible Fluids in Domains With Moving Boundaries,” Commun. Math Sci., 6(3), pp. 531–556.
Jacobs, P. A., 1998, “Shock Tube Modeling With L1d,” University of Queensland, St. Lucia, Australia, Report No. 13(98).

Figures

Grahic Jump Location
Fig. 1

Profile of density at t = 0.1

Grahic Jump Location
Fig. 2

Schematic illustration of free piston motion problem

Grahic Jump Location
Fig. 3

Comparison between velocity time curves by various moving boundary methods

Grahic Jump Location
Fig. 4

Histories of breech pressure and base pressure by various moving boundary methods

Grahic Jump Location
Fig. 5

Histories of mean pressure by Ghost cell extrapolation method and lumped parameter model

Grahic Jump Location
Fig. 6

Histories of (a) mean pressure and (b) projectile velocity by developed code and IBHVG2 code

Grahic Jump Location
Fig. 7

Schematic drawing of cannon

Grahic Jump Location
Fig. 8

Schematic of igniter

Grahic Jump Location
Fig. 9

Temperature contour of (a) case A, (b) case B, and (c) case C at time = 1 ms

Grahic Jump Location
Fig. 10

Time history of differential pressure according to ignition length

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In