| 绕近地面二维平板非定常不可压缩位势流的精确解 |
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| 引用本文： | 汪前喜,庄礼贤.绕近地面二维平板非定常不可压缩位势流的精确解[J].空气动力学学报,1992,10(4):414-421. |
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| 作者姓名： | 汪前喜 庄礼贤 |
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| 作者单位： | 中国科学技术大学，中国科学技术大学，中国科学技术大学 安徽合肥 230026，安徽合肥 230026，安徽合肥 230026 |
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| 摘 要： | Yih给出了极端地效条件下二维水平平板垂直下落时有势绕流的首阶近似解;给出了同一问题在平板同时还有水平速度情况下的近似解。本文利用椭圆函数将平板和地面围成的区域保角变换至矩形内部,然后在变换平面上求解,得到了有地面效应时水平平板铅垂运动所诱导的势流精确解,以及平板同时还有水平速度情况下的“准定常”连续绕流近似解。
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| 关 键 词： | 地面效应 位势流动 非定常流动 |
Exact Solutions of Incompressible Potential Flows Induced by a Horizontal Flat Plate Near a Plane Wall |
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| Wang Qianxi Zhuang Lixian Tong Binggang.Exact Solutions of Incompressible Potential Flows Induced by a Horizontal Flat Plate Near a Plane Wall[J].Acta Aerodynamica Sinica,1992,10(4):414-421. |
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| Authors: | Wang Qianxi Zhuang Lixian Tong Binggang |
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| Institution: | University of Science and Technology of China |
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| Abstract: | Yih1] obtained the first-order analytical solution to the problem of a falling plate in extreme ground effect, Tuck2] gave a similar approximate solution for the falling plate still having horizontal velocity. In this paper, both the exact solution of the complex velocity induced by a horizontal flat plate moving vertically near a plane wall and the pseud-steady approximate solution to the same problem for the plate still having horizontal velocity are obtained together, by using the theory of elliptical functions. |
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| Keywords: | ground effect potential flows unsteady flows ellipti- cal functions conformal mapping |
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