Modares Mechanical Engineering

Modares Mechanical Engineering

Performance Comparison of Several Air Gun Projectiles with Nose Shape Modification

Authors
Ferdowsi university of mashhad
Abstract
One of the important issues in shooting by air guns is to select the appropriate projectile for different distances of the target. In this paper, the performance of four samples of air gun projectiles (pellets) is studied. The motion of these projectiles is assumed in four degrees of freedom including three translational motions and one rotational motion. The considered projectiles have three calibers of 4.5, 5.5 and 6.35 mm, and four different types, namely flat nose, sharp nose, round nose and spherical. In order to numerical simulation of the problem, after these projectiles have been modeled geometrically, the 3-D compressible turbulent Navier-Stokes equations and dynamic equations of the projectiles motion are solved in a coupled form and in a moving computational grid. The numerical simulation is based on “Roe” scheme with second-order accuracy in space and time using a finite volume method. To validate the computer program operation, the results are compared to valid experimental data. Computed results describe the trajectory, velocity variations and altitude loss of the projectiles with time and location. Comparison of the projectiles performance including the trajectory, velocity variations and altitude loss indicate that the round nose projectile has the best performance in long distances compared to the other samples and the flat nose projectile has a great performance in short distances, while it has a weak behavior in long distances. Additionally, effect of nose shape on the performance of the sharp and round nose projectiles is investigated and the optimum nose shapes are obtained.
Keywords

[1] S. Chakraverty, I. Stiharu, R. B. Bhat, Influence of aerodynamic loads on flight trajectory of spinning spherical projectile, AIAA Journal, Vol. 39, No. 1, pp. 122-125, 2001.
[2] M. Pechier, Ph. Guillen, R. Cayzac, Magnus effect over finned projectiles, Journal of Spacecraft and Rockets, Vol. 38, No. 4, pp. 542-549, 2001.
[3] S. I. Silton, Navier-Stokes computations for a spinning projectile from subsonic to supersonic speeds, Journal of Spacecraft and Rockets, Vol. 42, No. 2, pp. 223-230, 2005.
[4] S. I. Silton, P. Weinacht, Effect of rifling grooves on the performance of small-caliber ammunition, 26th Proceedings of the Army Science Conference, Orlando, Florida, December 1-4, 2008.
[5] J. Ronkainen, A. Harland, Laser tracking system for sports ball trajectory measurement, Journal of Sports Engineering and Technology, Vol. 224, No. 1, pp. 219-228, 2010.
[6] W. Yu, X. Zhang, Aerodynamic analysis of projectile in gun system firing process, Journal of Applied Mechanics, Vol. 77, No. 1, pp. 1-8, 2010.
[7] S. D. Burbank, L. V. Smith, Dynamic characterization of rigid foam used in finite element sports ball simulations, Journal of Sports Engineering and Technology, Vol. 226, No. 2, pp. 77-85, 2012.
[8] J. A. Scobie, S. G. Pickering, D. P. Almond, G. D. Lock, Fluid dynamics of cricket ball swing, Journal of Sports Engineering and Technology, Vol. 227, No. 3, pp. 196-208, 2012.
[9] J. Sahu, M. Costello, C. Montalvo, Development and application of multidisciplinary coupled computational techniques for projectile aerodynamics, Seventh International Conference on Computational Fluid Dynamics, Big Island, Hawaii, July 9-13, 2012.
[10] J. Dykes, C. Montalvo, M. Costello, J. Sahu, Use of microspoilers for control of finned projectiles, Journal of Spacecraft and Rockets, Vol. 49, No. 6, pp. 1131-1140, 2012.
[11] M. T. Hasankhan, S. Saha, Numerical simulation and aerodynamic characteristic analysis of a paraboloid-tip bullet, Proceedings of 4th Global Engineering, Science and Technology Conference, Dhaka, Bangladesh, December 27-28, 2013.
[12] K. Jooha, C. Haecheon, Aerodynamics of a golf ball with grooves, Journal of Sports Engineering and Technology, Vol. 228, No. 4, pp. 233-241, 2014.
[13] M. Rafeie, A. R. Teymourtash, The aerodynamic and dynamic analysis of three common 4.5mm caliber pellets in a transonic flow, Journal of Scientia Iranica, Transactions B: Mechanical Engineering, Vol. 23, No. 4, pp. 1767- 1776, 2016.
[14] S. E. Salimipour, A. R. Teymourtash, Numerical simulation and operation comparison of two sizes of air gun pellets with 4.5 and 5.5 mm calibers, Fluid Mech. and Aerodynamics, Vol. 3, No. 3, pp. 35-47, 2015. (In (فارسی Persian
[15] F. Fresconi, B. Guidos, I. Celmins, J. DeSpirito, Flight behavior of an asymmetric missile through advanced characterization techniques, Journal of Spacecraft and Rockets, Vol. 54, No. 1, pp. 266-277, 2017.
[16] S. M. Mirsajedi, M. H. Hosseini Zarj, Improvement in moving mesh algorithm around a oscillational airfoil, Aerospace Sciences and Researches, Vol. 2, No. 1, pp. 71-82, 2009. (In Persian فارسی(
[17] S. M. H. Karimian, M. Ardakani, Immersed boundary method for the solution of 2d inviscid compressible flow using finite volume approach on moving cartesian grid, Journal of Applied Fluid Mechanics, Vol. 4, No. 2, Special Issue, pp. 27-36, 2011.
[18] J. Blazek, Computational Fluid Dynamics: Principles and Applications, First Edition, pp. 212-215, 238-241, 414-415, New York: Elsevier, 2001.
[19] D. K. Walters, D. Cokljat, Three-Equation Eddy-Viscosity model for Reynolds-Averaged Navier-Stokes simulations of transitional flow, Journal of Fluids Engineering, Vol. 130, No. 12, pp. 1-14, 2008.
[20] J. Furst, Numerical simulation of transitional flows with laminar kinetic energy, Engineering Mechanics, Vol. 20, No. 5, pp. 379–388, 2013.
[21] J. Furst, M. Islam, J. Prihoda, D. Wood, Towards pressure gradient sensitive transitional k-kl-ω model: the natural transition for low re airfoils, Topical Problems of Fluid Mechanics, Prague, February 11-13, pp. 65–70, 2013.
[22] A. Jameson, W. Schmidt, E. Turkel, Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta Time-Stepping schemes, AIAA, 81-1259, 1981.
[23]D. J. Carlson, R. F. Hoglund, Particle drag and heat transferrin rocket nozzles, AIAA Journal, Vol. 2, No. 11, pp. 1980-1984, 1964.
[24] C. T. Crowe, Drag coefficient of particles in a rocket nozzle, AIAA Journal, Vol. 5, No. 1, pp. 1021-1022, 1967.
[25] K. D. Korkan, S. L. Petrie, R. J. Bodonyi, Particle concentrations in high mach number, Two-Phase flows, 8th Aerodynamic Testing Conference, Bethesda, MD, U.S.A., 1974.
[26] C. B. Henderson, Drag coefficients of spheres in continuum and rarefied flows, AIAA Journal, Vol. 14, No. 6, pp. 707-708, 1976.
[27] L. D. Kayser, F. Whiton, Surface pressure measurements on a boattailed projectile shape at transonic speeds, Report by: Defense Technical Information Center, Aberdeen Proving Ground, MD, 1982.
[28] J. M. Aristoff, T. T. Truscott, A. H. Techet, J. W. M. Bush, The water entry of decelerating spheres, Physics of Fluids, Vol. 22, No. 1, pp. 1-8, 2010