考虑后燃烧效应密闭空间内爆炸场数值计算研究  

Study on Numerical Calculation of Explosion Field in Closed Space Considering After-burning Effects

作　　者：徐维铮[1,2] 吴卫国[1,2] XU Wei-zheng;WU Wei-guo(Key Laboratory of High Performance Ship Technology of Ministry of Education,Wuhan University of Technology,Wuhan 430063,China;School of Transportation,Wuhan University of Technology,Wuhan 430063,China)

机构地区：[1]武汉理工大学高性能舰船技术教育部重点实验室,湖北武汉430063 [2]武汉理工大学交通学院,湖北武汉430063

出　　处：《含能材料》2019年第8期661-670,I0002,共11页Chinese Journal of Energetic Materials

基　　金：国防基础研究项目(B1420133057);国家自然科学基金项目(51409202,51509196);中央高校基本科研业务费资助(2016-YB-016)

摘　　要：为了研究后燃烧效应对爆炸场参数的影响规律,提出一种考虑后燃烧效应密闭空间内爆炸场数值计算方法,将简化的反应率模型,耦合到三维两组可压缩欧拉方程中近似考虑后燃烧效应。并通过建立气体内能与热容之间的关系求得瞬态温度,根据热力学关系建立绝热指数计算公式。基于FORTRAN平台,采用五阶WENO有限差分格式,自主开发考虑后燃烧效应密闭空间内炸药爆炸场三维数值计算程序。基于所开发的程序数值探讨内爆炸场演化过程及后燃烧效应对爆炸场参数计算的影响。结果表明:(1)准静态温度、绝热指数及超压数值解与考虑后燃烧效应的理论解吻合较好,相对误差小于5%,初步验证了所开发程序的可靠性。(2)后燃烧效应在内爆炸场数值模拟中需要引起足够的重视,同一内爆炸工况下,准静态温度、绝热指数及超压数值解与不考虑后燃烧效应的理论解误差分别高达25%,6%,31%。To study the influence rule of afterburning effect on the parameters of explosion field,a numerical calculation method for the explosion field in a closed space considering the afterburning effects was proposed. The simplified reaction rate model was coupled with three-dimensional two components compressible Euler equations to approximately consider afterburning effects. Transient temperature was obtained by establishing the relationship between gas internal energy and heat capacity. The calculation formula of specific heat ratio was established according to thermodynamic relation. Based on FORTRAN platform,the fifth-order WENO finite difference scheme was adopted to develop an in-house 3D numerical calculation code,which can simulate the explosion field in closed space considering afterburning effects. The evolution process of internal explosion field and the influence of afterburning effects on the calculated explosion field parameters were numerically discussed based on the developed code. Results show that(1)the numerical solutions of quasi-static temperature,specific heat ratio and overpressure are in good agreement with theoretical solutions considering afterburning effects,and the relative error is less than 5%. The reliability of the developed code is preliminarily verified.(2)the afterburning effects should be paid enough attention in numerical simulation of internal explosion field. Under the same internal explosion condition,the relative errors between the numerical solutions of quasi-static temperature,specific heat ratio and overpressure and theoretical solutions without considering afterburning effects are as high as 25%,6% and 31%,respectively,This research method can be applied to the numerical calculation of internal explosion of other types of explosives,and provide some reference and guidance for the evaluation of internal explosion damage.

关 键 词：密闭空间内爆炸 TNT 炸药 后燃烧效应 五阶WENO 格式 数值计算 温度场 绝热指数场 反应率场 

分 类 号：O389[理学—流体力学]