In the point-particle model of disperse multiphase flow, the particles, assumed to be very small compared with all the scales of the flow, are represented by singular forces acting on the fluid. The hydrodynamic forces are found from standard correlations by interpolating the velocity field from the grid nodes to the particle positions, with the implicit assumption that the computational cells are much larger than the particles. It is argued here that this model has similarities with the Oseen linearization of the Navier–Stokes equation, the most important one being that, in the Oseen context, the particles are also treated, to leading order, as singularities. For this and other reasons addressed in the paper, the Oseen equations can be used as proxies for the point-particle model and the comparison of their solutions with particle-resolved simulations, both of which are presented in this paper, can shed light on the strengths and weaknesses of the point-particle model. The specific situation considered is the laminar, steady, uniform flow normal to a plane of periodically arranged particles exchanging momentum and heat with the fluid.

中文翻译：

---

通过固定粒子的无限平面阵列的层流：点粒子近似、Oseen 方程和解析模拟

在分散多相流的点粒子模型中，假设与流动的所有尺度相比非常小的粒子，由作用在流体上的奇异力表示。通过将速度场从网格节点插入到粒子位置，从标准相关性中找到水动力，并隐含假设计算单元比粒子大得多。这里争论的是，这个模型与 Navier-Stokes 方程的 Oseen 线性化有相似之处，最重要的是，在 Oseen 上下文中，粒子也被视为奇点，以引导顺序。由于这个原因和本文中提到的其他原因，Oseen 方程可以用作点粒子模型的代理，并且将它们的解与粒子解析模拟进行比较，这两者都在本文中介绍，可以阐明点粒子模型的优点和缺点。所考虑的具体情况是垂直于周期性排列的粒子与流体交换动量和热量的平面的层流、稳定、均匀的流动。