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General exact solution of incompressible potential flows around two circles
Authors:Wang Qianxi  Zhuang Lixian  Tong Binggang
Affiliation:(1) University of Science and Technology of China, 230026 Hefei, Anhui, China
Abstract:Three exact solutions are obtained for 2-D incompressible potential flows around two moving circles in three cases: (i) expansion (or contraction) of themselves, (ii) approaching (or departing from) each other, (iii) moving perpendicularly to the line connecting the centres in opposite directions. Meanwhile, another set of two exact solutions is obtained for 2-D incompressible potential flows between two moving eccentric circles in two cases: moving parallely or perpendicularly to the line connecting the centres.
Keywords:incompressible potential flow  unsteady flow  conformal mapping
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