火炮后效期火药气体流空过程的近似计算方法

doi:10.3969/j.issn.1000-1093.2021.07.005

摘要/Abstract

摘要： 火炮后效期内炮膛合力的变化规律对火炮运动计算有着十分重要意义。针对经典后效期理论假设的火药燃气状态参数空间分布与数值解不能严格符合的问题，基于相似性假设从膛内气体的控制方程中分离出描述气体参数分布的微分积分方程组，并提出求解的数值计算方法。根据求得的气体参数分布，导出气体状态参数和炮膛合力在后效期内随时间变化规律的计算公式，计算后效作用系数。以37 mm高射炮和122 mm榴弹炮两种火炮为例进行计算，将导出公式及经典理论的计算结果与数值仿真结果进行对比。结果表明：气体参数分布与数值仿真结果吻合；炮膛合力的变化规律与数值仿真结果很好地符合；后效作用系数与数值仿真结果的相对误差为0.38%～1.80%.

关键词: 火炮, 后效期, 炮膛合力, 后效作用系数, 分离变量法

Abstract: The resultant force in the bore during after-effect period of artillery becomes significant in analyzing the motion of artillery. As the spatial distribution of propellant gas flow properties in the conventional theoretical assumption of after-effect period does not strictly conform to the numerical solutions, a set of differential-integral equations describing the gas flow distribution are derived from the governing equations of in-bore gas. A numerical method is then proposed for solving the equations. Formulas for evaluating the gas flow properties, the resultant force in the bore, and the after-effect coefficient are obtained based on the gas flow distribution. The calculated results of the formulas in this paper and the conventional theories were compared with the numerically simulated results.The results suggest that the gas flow distribution and the resultant force in the bore calculated by the proposed formulas are in fantastic agreement with the numerically simulated ones. The error between the analytical and computational after-effect coefficients ranges from 0.38% to 1.80%.

Key words: artillery, after-effectperiod, resultantforceinthebore, after-effectcoefficient, methodofseparationofvariables

中图分类号:

TJ012.2

缪伟, 尹强, 钱林方. 火炮后效期火药气体流空过程的近似计算方法[J]. 兵工学报, 2021, 42(7): 1381-1391.

MIAO Wei, YIN Qiang, QIAN Linfang. An Approximate Calculation Method for Ejection of Propellant Gas during After-effect Period of Artillery[J]. Acta Armamentarii, 2021, 42(7): 1381-1391.

参考文献

［1］金志明, 袁亚雄. 内弹道气动力原理［M］. 北京: 国防工业出版社, 1983.
JIN Z M, YUAN Y X. Aerodynamic theory of interior ballistics［M］. Beijing: National Defense Industry Press, 1983. (in Chinese)
［2］ TAYLOR W C, TREUENFELS P M. The emptying of a gun tube ［R］. Aberdeen, MD, US: Ballistic Research Laboratory, Aberdeen Proving Ground, 1956.
［3］ CORNER J. Theory of internal ballistics of guns［M］. New York, NY, US: John Wiley & Sons, 1950.
［4］张月林. 火炮反后坐装置设计［M］. 北京: 国防工业出版社, 1984.
ZHANG Y L. The design of artillery recoil system［M］. Beijing: National Defense Industry Press, 1984. (in Chinese)
［5］郑建国. 火炮后效期非定常理论计算公式［J］. 南京理工大学学报, 2000, 24(5): 410-413.
ZHENG J G. Unsteady theoretical formulas for the gas ejection period from guns［J］. Journal of Nanjing University of Science and Technology, 2000, 24(5): 410-413. (in Chinese)
［6］ CORNER J. The internal ballistics of a gun after shot ejection［J］. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1947, 188(1013): 255-272.
［7］李鸿志. 模拟炮膛流空的数值计算方法［J］. 南京理工大学学报, 1982,5(3): 113-127.
LI H Z. A numerical method of modeling the emptying of a gun［J］. Journal of Nanjing University of Science and Technology, 1982,5(3): 113-127. (in Chinese)
［8］乐贵高, 马大为, 冯勇, 等. 某火炮膛口流场数值仿真［J］. 兵工学报, 2004, 25(1): 19-22.
LE G G, MA D W, FENG Y, et al. Numerical simulation of muzzle blast flow fields of large caliber guns［J］. Acta Armamentarii, 2004, 25(1): 19-22. (in Chinese)
［9］姜孝海, 李鸿志, 范宝春, 等. 基于ALE方程及嵌入网格法的膛口流场数值模拟［J］. 兵工学报, 2007, 28(12): 1512-1515.
JIANG X H, LI H Z, FAN B C, et al. Numerical simulation of muzzle flow field based on ALE equation and chimera grids［J］. Acta Armamentarii, 2007, 28(12): 1512-1515. (in Chinese)
［10］王杨, 郭则庆, 姜孝海. 后效期火药气体流空过程数值模拟［J］. 火炮发射与控制学报, 2009,30(3): 63-67.
WANG Y, GUO Z Q, JIANG X H. Numerical simulation of propellant gas emptying process in after-effect period［J］. Journal of Gun Launch & Control, 2009,30(3): 63-67. (in Chinese)
［11］张焕好, 陈志华, 姜孝海, 等. 膛口装置三维流场的数值模拟及制退效率计算［J］. 兵工学报, 2011, 32(5): 513-519.
ZHANG H H, CHEN Z H, JIANG X H, et al. Numerical simulation of the 3D flow fields of a muzzle brake and its efficiency calculation［J］. Acta Armamentarii, 2011, 32(5): 513-519. (in Chinese)
［12］郭则庆, 王杨, 姜孝海, 等. 膛口初始流场对火药燃气流场影响的数值研究［J］. 兵工学报, 2012, 33(6): 663-668.
GUO Z Q, WANG Y, JIANG X H, et al. Numerical study on effects of precursor flow on muzzle propellant flow field［J］. Acta Armamentarii, 2012, 33(6): 663-668. (in Chinese)
［13］吴伟, 许厚谦, 王亮, 等. 基于无网格方法的膛口二次焰数值研究［J］. 兵工学报, 2014, 35(12): 1991-1997.
WU W, XU H Q, WANG L, et al. Numerical research on
secondary muzzle flash using gridless method［J］. Acta Armamentarii,
2014, 35(12): 1991-1997. (in Chinese)
［14］殷鹏贤, 赵俊利, 王立君, 等. 基于CFD技术的火药气体作用系数计算［J］. 兵工自动化, 2016, 35(10): 74-76.
YIN P X, ZHAO J L, WANG L J, et al. Computation of propellant gas active coefficient based on CFD［J］. Ordnance Industry Automation, 2016, 35(10): 74-76. (in Chinese)
［15］周鹏, 曹从咏, 董浩. 高压气体发射装置内弹道特性及膛口流场分析［J］. 兵工学报, 2016, 37(9): 1612-1616.
ZHOU P, CAO C Y, DONG H. Analysis of interior ballistic characteristics and muzzle flow field of high-pressure gas launcher［J］. Acta Armamentarii, 2016, 37(9): 1612-1616. (in Chinese)
［16］雷红霞, 王志军. 火炮后坐对膛口流场的影响［J］. 中北大学学报, 2017, 38(1): 36-41.
LEI H X, WANG Z J. Effect of the artillery recoil movement on muzzle flow field［J］. Journal of North University of China, 2017, 38(1): 36-41. (in Chinese)
［17］涂炯灿, 薛百文, 昝博勋. 火炮后效期对具有跳角弹丸的影响［J］. 兵器装备工程学报, 2019, 40(2): 76-79.
TU J C, XUE B W, ZAN B X. Study on effect of aftereffect of artillery on projectile with jump angle［J］. Journal of Ordnance Equipment Engineering, 2019, 40(2): 76-79. (in Chinese)
［18］王振嵘, 高跃飞, 刘国志, 等. 基于二维流场的炮口制退器效率计算［J］. 中北大学学报, 2019, 40(3): 211-215, 221.
WANG Z R, GAO Y F, LIU G Z, et al. Calculation of muzzle brake efficiency based on 2D flow field［J］. Journal of North University of China, 2019, 40(3): 211-215, 221. (in Chinese)
［19］张京辉, 余永刚. 机枪水下发射膛口燃气射流场分布特性的数值模拟［J］. 弹道学报, 2019, 31(2): 7-13, 29.
ZHANG J H, YU Y G. Numerical simulation of distribution cha-
racteristics of muzzle gas jet field of machine gun underwater
launching［J］. Journal of Ballistics, 2019, 31(2): 7-13, 29. (in Chinese)
［20］张欣尉, 余永刚. 水深对机枪密封式膛口流场影响的数值分析［J］. 船舶力学, 2019, 23(5): 558-565.
ZHANG X W, YU Y G. Numerical analysis of influence of water depth on flow field around sealed muzzle of underwater machine gun［J］. Journal of Ship Mechanics, 2019, 23(5): 558-565. (in Chinese)
［21］张旋, 代淑兰, 余永刚, 等. 水下机枪密封式发射膛口流场特性分析［J］. 兵器装备工程学报, 2019, 40(11): 60-63.
ZHANG X, DAI S L, YU Y G, et al. Analysis of flow field characteristics of sealed launching muzzle of underwater machine gun［J］. Journal of Ordnance Equipment Engineering, 2019, 40(11): 60-63. (in Chinese)
［22］刘康, 管小荣, 徐诚, 等. 斜切角膛口流场的数值模拟［J］. 兵器装备工程学报, 2020, 41(4): 1-5.
LIU K, GUAN X R, XU C, et al. Numerical simulation of flow field at oblique cutting muzzle［J］. Journal of Ordnance Equipment Engineering, 2020, 41(4): 1-5. (in Chinese)
［23］张京辉, 余永刚. 弹道枪水下全淹没式发射膛口流场演化特性的数值模拟研究［J］. 兵工学报, 2020, 41(3): 471-480.
ZHANG J H, YU Y G. Numerical investigation on evolutionary characteristics of muzzle flow field of ballistic gun during underwater submerged firing［J］. Acta Armamentarii, 2020, 41(3): 471-480. (in Chinese)
［24］张相炎, 郑建国, 杨军荣. 火炮设计理论［M］. 北京: 北京理工大学出版社, 2005.
ZHANG X Y, ZHENG J G, YANG J R. Artillery design theory［M］. Beijing: Beijing Institute of Technology Press, 2005. (in Chinese)
［25］金志明. 枪炮内弹道学［M］. 北京: 北京理工大学出版社, 2004.
JIN Z M. Gun interior ballistics［M］. Beijing: Beijing Institute of Technology Press, 2004. (in Chinese)
［26］崔东明. 膛口气流参数的计算与测量［J］. 南京理工大学学报, 1985, 34(增刊1): 1-13.
CUI D M. Calculation and measurement of propellant gas properties at muzzle［J］. Journal of Nanjing University of Science and Technology, 1985, 34(S1): 1-13. (in Chinese)

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