Cheng Cheng, Zhang Xiaobing
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J Appl Mech. 2013 May;80(3):0314031-314036. doi: 10.1115/1.4023313. Epub 2013 Apr 19.
In conventional models for two-phase reactive flow of interior ballistic, the dynamic collision phenomenon of particles is neglected or empirically simplified. However, the particle collision between particles may play an important role in dilute two-phase flow because the distribution of particles is extremely nonuniform. The collision force may be one of the key factors to influence the particle movement. This paper presents the CFD-DEM approach for simulation of interior ballistic two-phase flow considering the dynamic collision process. The gas phase is treated as a Eulerian continuum and described by a computational fluid dynamic method (CFD). The solid phase is modeled by discrete element method (DEM) using a soft sphere approach for the particle collision dynamic. The model takes into account grain combustion, particle-particle collisions, particle-wall collisions, interphase drag and heat transfer between gas and solid phases. The continuous gas phase equations are discretized in finite volume form and solved by the AUSM+-up scheme with the higher order accurate reconstruction method. Translational and rotational motions of discrete particles are solved by explicit time integrations. The direct mapping contact detection algorithm is used. The multigrid method is applied in the void fraction calculation, the contact detection procedure, and CFD solving procedure. Several verification tests demonstrate the accuracy and reliability of this approach. The simulation of an experimental igniter device in open air shows good agreement between the model and experimental measurements. This paper has implications for improving the ability to capture the complex physics phenomena of two-phase flow during the interior ballistic cycle and to predict dynamic collision phenomena at the individual particle scale.
在传统的内弹道两相反应流模型中,颗粒的动态碰撞现象被忽略或通过经验进行简化。然而,颗粒之间的碰撞在稀疏两相流中可能起着重要作用,因为颗粒的分布极其不均匀。碰撞力可能是影响颗粒运动的关键因素之一。本文提出了一种考虑动态碰撞过程的CFD-DEM方法来模拟内弹道两相流。气相被视为欧拉连续介质,采用计算流体动力学方法(CFD)进行描述。固相采用离散单元法(DEM),使用软球方法处理颗粒碰撞动力学。该模型考虑了药柱燃烧、颗粒-颗粒碰撞、颗粒-壁面碰撞、相间阻力以及气固相间的传热。连续气相方程以有限体积形式离散,并采用具有高阶精度重构方法的AUSM+-up格式求解。离散颗粒的平移和旋转运动通过显式时间积分求解。采用直接映射接触检测算法。在空隙率计算、接触检测过程和CFD求解过程中应用了多重网格方法。几个验证测试证明了该方法的准确性和可靠性。对露天实验点火装置的模拟表明,模型与实验测量结果吻合良好。本文对于提高捕捉内弹道循环期间两相流复杂物理现象以及预测单个颗粒尺度上动态碰撞现象的能力具有重要意义。