纵向加速流绕椭球流动的精确解

本文基于理想不可压轴对称位流理论，导得纵向加速流绕椭球流动的精确解；利用Ｌｅｇｅｎｄｒｅ多项式还是导得椭球在静止介质中沿纵向作加速运动时，由此引起流体流动的精确解，以及这两种情况下作用在椭球上的附加阻力。所得结果具有一定的理论价值，且可用来检验数值计算方法。

The Exact Solution of an Longitudinally Accelerated Flow Passing an Ellipsoid

Based on the axisymmetrical potential flow theory of an invicid incompressible fluid, the exact solution of an longitudinally accelerated flow passing an ellipsoid was obtained. The exact solution of the resulting motion of the fluid when the ellipsoid moves with longitudinal acceleration in fluid at rest was also obtained in ferms of Legendre polynomials, and the additional drags acting on the ellpsoid were calculated in both cases. These results not only have certain theoretical values, but also can be used in verifying the numerical calculating method.