Bullet Turning at Trajectory Apex
Publication: Journal of Aerospace Engineering
Volume 27, Issue 5
Abstract
A numerical study is carried out to investigate a 7.62-mm bullet turning at the trajectory apex, particularly when fired vertically. The bullet model includes an aerodynamic model, which basically covers angles of attack up to 180°. Computational fluid dynamics are used to estimate the aerodynamic properties at the high angles of attack. The role of aerodynamic moment, and particularly Magnus phenomena, in turning at the apex is studied. A positive Magnus moment tilts the total aerodynamic moment vector clockwise and generally drives the bullet turning nose down. The bullet turning was detected through a flat spin–type maneuver. The Magnus-moment oscillatory behavior and/or the Magnus-moment-caused bullet instability may occur during the turning at the trajectory apex. These were found to have a negligible effect on the bullet-turning launch angle, but they may contribute considerably to the bullet falling-phase behavior. Possibilities to affect the bullet descending part of the flight are also shortly considered.
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References
ANSYS Fluent 12.1 [Computer software]. ANSYS, Inc., Canonsburg, PA, 〈http://www.ansys.com/〉.
Doraiswamy, S., and Candler, G. V. (2008). “Detached eddy simulations and Reynolds-averaged Navier-stokes calculations of a spinning projectile.” J. Spacecraft Rockets, 45(5), 935–945.
Elmigilui, A., Abdol-Hamid, K. S., Massey, S. J., and Pao, P. S. (2010). “Numerical study of flow past a circular cylinder using hybrid turbulence formulations.” J. Aircraft, 47(2), 434–440.
McCoy, R. (1988). “The aerodynamic characteristics of 7.62 mm match bullets.”, Ballistic Research Laboratory, Aberdeen Proving Ground, MD.
Moore, F. G. (2000). “Approximate methods for weapon aerodynamics.” Progress in astronautics and aeronautics series, AIAA, Reston, VA, 186.
OpenFOAM 1.7.0 [Computer software]. OpenCFD Ltd. (ESI Group), Bracknell, U.K., 〈http://www.openfoam.com/〉.
Pointwise 17.1 R4 [Computer software]. Pointwise, Inc., Fort Worth, TX.
Sahu, J. (2008). “Time-accurate numerical prediction of free-flight aerodynamics of a finned projectile.” J. Spacecraft Rockets, 45(5), 946–954.
Sailaranta, T., Honkanen, T., Laaksonen, A., and Siltavuori, A. (2013). “Upwards fired bullet terminal velocity.” 27th Int. Symp. on Ballistics, National Defense Industrial Association (NDIA), Arlington, VA.
Sailaranta, T., Pankkonen, A., and Siltavuori, A. (2011). “Upwards fired bullet turning at the trajectory apex.” Appl. Math. Sci., 5(25), 1245–1262.
Sailaranta, T., Siltavuori, A., Laine, S., and Fagerström, B. (2002). “On projectile stability and firing accuracy.” 20th Int. Symp. on Ballistics, National Defense Industrial Association (NDIA), Arlington, VA.
Sakamoto, H., and Haniu, H. (1990). “A study on vortex shedding from spheres in a uniform flow.” J. Fluids Eng., 112(4), 386–392.
Silton, S. I. (2005). “Navier-stokes computations for a spinning projectile from subsonic to supersonic speeds.” J. Spacecraft Rockets, 42(2), 223–231.
Silton, S. I., and Weinacht, P. (2008). “Effect of rifling grooves on the performance of small-caliber ammunition.” Proc., Army Science Conf. (26th), U.S. Army Research Laboratory, Aberdeen Proving Ground, MD.
USAF Stability and Control DATCOM. (1978). Flight control division, air force flight dynamics laboratory, Wright-Patterson Air Force Base, OH.
Vesaoja, L. (2009). “Coupling of flow computation and flight mechanics.” Master thesis, Dept. of Applied Mechanics, Aalto Univ., Esbo, Finland, 119.
Yoshinaga, T., Inoue, K., and Tate, A. (1984). “Determination of the pitching characteristics of tumbling bodies by the free rotation method.” J. Spacecraft Rockets, 21(1), 21–28.
Young, M. E., and Ooi, A. (2007). “Comparative assessment of LES and URANS for flow over a cylinder at a Reynolds number of 3900.” Proc., 16th Australasian Fluid Mechanics Conf., School of Engineering, Univ. of Queensland, Australia, 1063–1070.
Zipfel, P. H. (2000). “Modeling and simulation of aerospace vehicle dynamics.” AIAA Education Series, American Institute of Aeronautics and Astronautics, Reston, VA.
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© 2014 American Society of Civil Engineers.
History
Received: Oct 2, 2012
Accepted: Apr 22, 2013
Published online: Apr 23, 2013
Published in print: Sep 1, 2014
Discussion open until: Oct 16, 2014
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