【摘要】 <正> 本文发展了文献[1]中提出的思想,采用奇点环形分布法解决任意形状扁轴对称体的Stokes流动问题,并且得到了和长轴对称体相类似的好结果。 考虑一速度为u的均匀来流绕过一任意形状扁轴对称体的蠕动流.取直角坐标oxyz及柱坐标系r,θ,z。使z轴与物体的对称轴重合(参看图1)。显然,这是一个轴对称流动。习惯上只须考虑θ=0的Roz平面上的流动即可。取L,u,(μu)╱L,uL~2为长度,速度,压力和流函数的特征参考量,其中L是物体的特征长度,μ是流体动力学粘性系数。更多还原

【Abstract】 This paper deals with the Stokes flow of the arbitrary oblate axisymmetrical body by using the annular discrete distribution method of singularities, which is the further development of the line distribution method of singularities proposed in paper (1). The Sampson spherical singularities are distributed discretely along the singularities ring witli centre on the origin of the coordinate system. Trucating the infinite series and choosing the control points on the body surface, a set of linear algebraic equations are obtained from the non-slip boundary conditions. After solving this set of equations the approximate solutions of the problem are presented. This method is utilized to treat the Stokes flow of the arbitrary oblate axisymmetrical body. By comparison with the exact solution it is demostrate that the annular discrete distribution method of singularities has good convergence and accuracy. As an example of arbitrary oblate axisymmetrical body, the Stokes flow of the oblate Katheny oval is considered and the corresponding drag factor and pressure distribution on the surface are obtained.更多还原