General exact solution of incompressible potential flows around two circles |
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Authors: | Wang Qianxi Zhuang Lixian Tong Binggang |
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Affiliation: | (1) University of Science and Technology of China, 230026 Hefei, Anhui, China |
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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. |
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Keywords: | incompressible potential flow unsteady flow conformal mapping |
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