Numerical and Semi-empirical Prediction of Zero-Lift Drag Coefficient of a Small Caliber Spinning Projectile: A Comparative Investigation
DOI:
https://doi.org/10.63746/njtd.v22i5.3294Keywords:
Spinning projectile, drag, CFD, aerodynamics, numerical simulation, semi-empiricalAbstract
This paper focuses on a comparative performance evaluation of the numerical and semi-empirical methods in predicting the zero-lift drag of a generic spinning projectile, namely, the 5.69mm BRL-1 projectile. The numerical simulations of the flow around the projectile were conducted using Reynolds-Averaged Navier-Stokes equations with Shear Stress Transport k-ω turbulence model. The simulation results were validated comparing against existing experimental data. The McCoy method was applied for semi-empirical prediction of zero-lift drag of the projectile. The pressure drag, skin friction drag and base drag components of the total aerodynamic drag of the projectile at various Mach numbers were also investigated in this study. The aerodynamic drags obtained using numerical and semi-empirical methods were compared to show strengths and shortcomings of each approach. The average difference between numerical and experimental zero-lift drag coefficients is 1.74%, while the corresponding value for semi-empirical and experimental zero-lift drag coefficients is 5.31%.
References
Braun, W. F. (1973). Aerodynamic data for small arms projectiles. Report No. 1630, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland, USA.
Ferfouri, A., Allouche, T., Jerkovic, D., Hristov, N., Vuckovic, M. and Benmeddah, A. (2023). Prediction of drag aerodynamic coefficient of the 155 mm projectile under axisymmetric flow using different approaches. Journal of the Serbian Society for Computational Mechanics, 17(2), pp. 69-86. https://doi.org/10.24874/jsscm.2023.17.02.06.
Ko, A., Chang, K., Sheen, D. J., Lee, C. H., Park, Y. and Park, S. W. (2020). Prediction and analysis of the aerodynamic characteristics of a spinning projectile based on computational fluid dynamics. International Journal of Aerospace Engineering, 2020(1), p.6043721. https://doi.org/10.1155/2020/6043721
Mahdi, A. S. and Al-Atabi, M.. (2008). Effect of body shape on the aerodynamics of projectiles at supersonic speeds. Journal of Engineering Science and Technology, 3(3), pp.278-292.
Matsson, J. E. (2023). An introduction to Ansys Fluent 2023. Mission, KS, USA: SDC Publications, ISBN: 978-1-63057-648-6.
McCoy, R. L. (1981). "Mc Drag" - A computer program for estimating the drag coefficients of projectiles. Technical Report ARBRL-TR-02293, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland, USA.
McCoy, R. L. (2009). Modern Exterior Ballistics: The Launch and Flight Dynamics of Symmetric Projectiles, 2nd edition. Schiffer Military History.
Menter, F. R. (1994). Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 32(8): 1598-1605. https://doi.org/10.2514/3.12149
Moore, F. G. and Hymer, T. C. (2002). Improved semi-empirical method for power-on base-drag prediction. Journal of Spacecraft and Rockets, 39 (1), pp. 56-65. https://doi.org/10.2514/2.3782
Nguyen, Q. T., Nguyen, H. M. and Son, B. X. (2024). Numerical investigation on the supersonic flow around a saboted bullet. VojnotehniÄki glasnik, 72(2), pp. 676-694. https://doi.org/10.5937/vojtehg72-48837.
Pokela, R. C., Foster, D., Munroe, M., Koos, J., Mason F., Kumar R., McPherson B. and Taylor, R. H. (2021). Experimental study of axisymmetric projectile configurations at supersonic speeds. AIAA 2021-0135, AIAA Scitech 2021 Forum. https://doi.org/10.2514/6.2021-0135
Salunke, S., Shinde, S., Gholap, T. and Sahoo, D. (2023). Comparative computational analysis of NATO 5.56mm, APM2 7.62mm and AK-47 7.82mm bullet moving at Mach 2.0 in close vicinity to the wall. FME Transactions, 51, pp. 81-89. http://doi.org/10.5937/fme2301081S
Seretkaya, A. A., Çalışkan, C. and Neşeli, S. (2022). Comparison of real and simulation aerodynamic coefficients for 155 mm ammunition using open-source code SU2 software. Politeknik Dergisi, 25(4), pp.1835-1845. https://doi.org/10.2339/politeknik.1133519
Vasile, J. D., Bryson, J. and Fresconi, F. (2020). Aerodynamic design optimization of long range projectiles using Missile DATCOM. AIAA Scitech 2020 Forum. https://doi.org/10.2514/6.2020-1762
Wanchai, J. (2014). Studies of aerodynamics of supersonic generic round shaped bodies. Ph.D thesis, Nanyang Technological University, Singapore.
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