蠕动流中连续奇点线分布法的分段线性近似

本文考虑了连续奇点线分布法的分段线性近似去处理任意形状长轴对称体的Stokes流动,成功地得到了流场的封闭形式的分析表达式.通过长球和卡西尼卵形体的数值计算表明此法改进了分段等强度近似的收敛性和精度并具有更大的细长比的适用范围.文中还给出实例说明分段线性近似还可用来计算任意形状尖头长轴对称体的Stokes流动.

The Linear Approximation of the Line Continuous Distribution Method of Singularities in Creeping Motion

The linear approximation of the line continuous distribution method of singularities is proposed to treat the creeping motion of the arbitrary prolate axisymmetrical body. The analytic expressions in closed form for the flow ffield are obtained. The numerical results for the prolate spheroid and Cassini oval demonstrate that the convergence and the accuracy of the proposed method are better than the constant density approximation. Fnthermore, it can be applied to greater slender ratio, In this paper the ezample is yielded to show that the linear approximation of the singularities for the density on the partitioned segments can be utilized to consider the creeping motion of the arbitrated prolate asisymmetrical body.