流曲线概念及造型方法

Conception and Modeling Method of Stream Curve

定义了一种可用于造型、具有明确流体力学意义的功能曲线——流曲线·将直匀流绕物面作二维无旋不可压缩定常流动时的流函数表达为曲面后,利用流函数曲面控制边界与流曲线的对应关系,采用拉普拉斯方程第一边值逆问题的数值解法,提出了来流为直匀流的流曲线造型方法并给出了实例·结果表明:流曲线定义及造型方法可用于与流体有关的平面曲线造型,可反映流场信息并对曲线的流体力学性能进行初步评估·

For modeling plane curve with definite hydromechanical meanings, a kind of function curve, stream curve, was defined. Under the condition of inviscid, potential and incompressible flow, the stream function of a uniform stream flow over a solid surface was expressed as a curved surface. The correspondence between the control boundary of a stream function curved surface and the stream curve was investigated. Then the method of stream curve modeling with the uniform stream coming flow was presented. An instance was given by means of the numerical solution for the first boundary value inverse problem of Laplace＇s equation. The result shows that the definition and the modeling method of the stream curve can be used for the modeling of plane curves related to flow, the stream curve contains the information of flow field, and the hydromechanical performance of the stream curve can be primarily assessed.