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Hydrodynamical forces acting on particles in a two-dimensional flow near a solid wall

机译:固体壁附近二维流动中作用于颗粒的流体动力

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The hydrodynamical forces acting on a single particle and on a random rigid array of particles suspended in a two-dimensional shear flow of Newtonian fluid near a rigid wall were studied numerically in the flow regime where the relevant Reynolds numbers are of the order of unity. The simulations were done with conventional finite volume method for single-particle cases and with lattice-Boltzmann method for many-particle cases. A set of comparison cases was solved with both methods in order to check the accuracy of the lattice-Boltzmann method. For the single-particle case analytic formulae for the longitudinal drag force and for the transverse lift force were found. A modification to Darcy's law is proposed which takes into account the increase of the drag force near a moving well. In the flow conditions studied here, the lift force acting on the particle array was found to be repulsive close to the wall, but becomes weakly attractive as the distance from the wall is increased.
机译:在相关雷诺数为1的流动状态下,数值研究了作用于单个颗粒和悬浮在刚性壁附近的牛顿流体二维剪切流中的颗粒的随机刚性阵列上的流体动力。对于单粒子情况,使用常规有限体积方法进行了模拟;对于多粒子情况,则使用了格子玻尔兹曼方法进行了仿真。为了检查点阵玻尔兹曼方法的准确性,使用这两种方法解决了一组比较案例。对于单颗粒情况,找到了纵向阻力和横向升力的解析公式。提出了对达西定律的修改,其中考虑了移动井附近阻力的增加。在这里研究的流动条件下,发现作用在粒子阵列上的升力在靠近壁的方向上是排斥的,但随着与壁的距离增加,吸引力变得微弱。

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