论文标题
在受事件冲击波影响的中等密集的窗帘中建模粒子碰撞
Modelling particle collisions in moderately dense curtain impacted by an incident shock wave
论文作者
论文摘要
用Eulerian-Lagrangian方法模拟了入射冲击与中等密集的粒子窗帘之间的相互作用。基于OpenFOAM的定制求解器通过改进的阻力模型和碰撞模型扩展,然后针对两个基准实验进行了验证。在这项工作中,考虑了不同的粒径,体积分数和窗帘厚度,进行了参数研究。发现较小的粒径和较大的体积分数会导致更强的反射冲击和较弱的发射冲击。还详细研究了窗帘前沿的不同膨胀阶段。注意粒子碰撞对窗帘演化行为的影响。根据我们的结果,对于单分散的粒子窗帘,即使初始粒子体积分数高达20%,对窗帘前行为的碰撞影响也很小。这是由于冲击波通道后整个窗帘的正速度梯度所致,导致下游颗粒的运动比上游粒子更快,因此不会发生碰撞。对于双分散的粒子窗帘,在不同大小颗粒的混合区域中,碰撞效应变得很重要。碰撞减速小颗粒,同时加速大颗粒并导致速度散射。此外,增加双分散的窗帘厚度导致由于局部粒子的积累而导致多个碰撞力峰,这是不同粒子基团延迟分离的结果。我们的结果表明,碰撞模型可能不需要预测单分散颗粒中的窗帘前沿,但是在双分散的颗粒中,碰撞效应很重要,因此必须对其进行建模。
The interactions between an incident shock and moderately dense particle curtain are simulated with the Eulerian-Lagrangian method. A customized solver based on OpenFOAM is extended with an improved drag model and collision model, and then validated against two benchmark experiments. In this work, parametric studies are performed considering different particle sizes, volume fractions, and curtain thicknesses. It is found that smaller particle size and larger volume fractions lead to stronger reflected shock and weaker transmitted shock. Different expansion stages of the curtain fronts are also studied in detail. Attention is paid to the particle collision effects on the curtain evolution behaviours. According to our results, for the mono-dispersed particle curtain, the collision effects on curtain front behaviors are small, even when the initial particle volume fraction is as high as 20%. This is due to the positive velocity gradient across the curtain after the shock wave passage, leading to faster motion of downstream particles than the upstream ones and hence no collision occurs. For the bi-dispersed particle curtain, the collision effects become important in the mixing region of different-size particles. Collisions decelerate small particles while accelerate large ones and cause velocity scattering. Moreover, increasing the bi-dispersed curtain thickness leads to multiple collision force peaks due to the local particle accumulations, which is the result of the delayed separation of different particle groups. Our results indicate that the collision model may be unnecessary to predict curtain fronts in mono-dispersed particles, but in bi-dispersed particles, the collision effects are important and therefore must be modelled.