双圆诱导不可压缩势流的几个精确解  

THREE EXACT SOLUTIONS OF INCOMPRESSIBLE POTENTIAL FLOW INDUCED BY TWO CIRCLES

作　　者：汪前喜 庄礼贤[1] 童秉纲[1] 

机构地区：[1]中国科学技术大学近代力学系,合肥230026

出　　处：《力学学报》1991年第5期549-555,共7页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：Lagally(1929)给出了两个静止圆在均匀来流中的扰动速度势精确解。本文通过使用 Apollonius 保角变换,将两圆外部区域变为圆环内部区域,并在变换平面上用 Fo-urier 级数方法求解 Laplace 方程,从而得出双圆扰动势流的另外三个精确解。它们分别对应于静止流体中两圆膨胀(收缩)、沿连心线相向(相背)运动和垂直连心线反向运动(错动)所诱导的速势场。Lagally (1929) has given the exact solution for the two dimensional incompressible potential flow indued by two fixed circles in a uniform stream. In this paper, three exact solutions are obtained for two dimensional incompressible potential flow induced by two circles moving or expanding in a still fluid in three cases: (i) expansion (or contraction) of themselves, (ii) approach to (or departure from) each other, (iii) their movements perpendicular to the connected-centre-line in opposite directions.

关 键 词：非定常流动 不可压缩流动 位势流动 

分 类 号：O357.1[理学—流体力学]