球栅的Oseen流动及阻力的尾流效应

本文通过大小相同且等距放置的球栅的轴对称Oseen流动研究了阻力的尾流效应。在每个球的球心放置Oseen流子得到了问题的级数解。截断无穷级数并采用配置法解线性代数方程组求出了球栅Oseen流动的近似解及每个球所遭受的阻力。 在不同的球的个数,不同的球的间距以及不同的雷诺数下计算了各个圆球的阻力系数,发现除球栅的遮蔽效应和端缘效应外还存在着尾流效应。研究了上述参数对这些效应的影响并与Stokes流动的结果进行了比较。文章还对方法的收敛性进行了数值研究。

THE OSEEN FLOW OF FINITE CLUSTERS OF SPHERES AND THE WAKE EFFECT ON THE DRAG FACTOR

In this paper the vvake effect on drag factor in the axisymmetric Oseen flow of the finite clusters of equal spaced spheres with same size is studied. Putting rhe Oseenlets on the centres of each sphere, the series solution of the problem is obtained. By means of truncating the infinite series and applying the collocation method to solve the set of the linear algebraic equations the approximate solution of the Oseen flow of finite clusters of spheres and the drag factor for each sphere are presented.The effect of the sphere number and spacing on the drag factor of each sphere under different Reynolds number are calculated and the wake effect as well as the shilding effect and the end effect are revealed. The influence of these parameters on the effects is considered and is compared with the corresponding results of the Stokes flow. The convergence of the method is also studied numerically in this paper.