水面下均流中空间任意方位马蹄涡之诱导速度势

Induced Velocity Potential of an Arbitrary Horseshoe Vortex in the Uniform Flowfield with Free Surface

本文在线性化自由表面条件的假定下,从单位强度的Kelvin源出发,推导而得处于水面下均流中空间任意方位马蹄涡之诱导速度势公式。本文的结果包含了文献[3]、[4]、[5]中的水平马蹄涡、上反马蹄涡、垂直马蹄涡和下滑马蹄涡之诱导速度势的情况,是一个适用范围更加广泛的基本解。

Under the assumption of linearized free surface condition, analytic solution of the induced velocity potential caused by an arbitrary horseshoe vortex in the uniform flowfield was derived from the Havelock-Kelvin source formula. As a fundamental solution, this analytic solution is valid for more extensire cases. The results concluded in the papers [3]-,[4],[5] are all its special cases. Utilizing this fundamental solution, numerical calculation of hydrodynamic characteristics of any lifting body moving beneath the water surface with constant forward velocity can be performed.