Complex Velocity Potential for an Ellipse and a Circle in Translation and Rotation

作     者：R.SUN &A.T.CHWANG (Department of Mechanical Engineering,The University of Hong Kong,H.K.) 

作者机构：Department of Mechanical Engineering The University of Hong Kong Hong Kong China 

出 版 物：《Communications in Nonlinear Science and Numerical Simulation》 (非线性科学与数值模拟通讯(英文版))

年 卷 期：1997年第2卷第4期

页      面：252-257页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：velocity potential two bodies 

摘      要：This paper investigates the analytical solutions of two- dimensional Neumann- type external boundary- value problem for an ellipse and a circle in complex analysis *** transformation of harmonics between two planes is expanded in Laurent *** circle theorem is extended so as to suitto the system of the ellipse and the circle. By means of Basset’s process,the harmonic expressions of the system are found in the form of recurrence formulae which are suitable for numerical *** complex velocity potential of the system in translation and rotation is represented by the summation of the harmonic expressions.