近自由面细长体的振荡问题

The Oscillating Problem of a Slender Body near Free Surface

本文引进细长体的假定,把三维的流体运动问题化成了二维的非定常问题。前面剖面对后面剖面的干扰作用用积分表示,对物体作了适当近似以后,改善了切片理论。根据物面条件把整个问题的求解分解为兴波问题和振荡问题,而振荡问题可由兴波问题的适当组合表示出来。这样,大大简化了问题的求解。作为例子,本文数值计算了细长体的水动力导数,给出了结果。

Based on the slender-body assumption, the flow problem of a 3-D body is approximated to a set of unsteady 2-D ones. The effects of the all upstream sections(i.e.'memory effects') is presented by integration. Under the linear theory presupposition, the oscillating problem of a slender-body is resolved to a wavemaking and an oscillating one according to the body boundary condition, the analytic expression of oscillating potential combined by wavemaking one is derived. As an example, the hydrodynamic derivations of a slender-body of revolution are calculated.