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圆柱运动的内波渐近解
引用本文:张蝶丽.圆柱运动的内波渐近解[J].力学学报,1988(3).
作者姓名:张蝶丽
作者单位:中国科学院力学研究所
摘    要:本文提供一个二维内波的渐近解法,对水平圆柱在无粘、稳定的密度连续分层流体中任意倾角运动的问题,得到了伴随的色散关系式,结合倾角α=90°圆柱垂直运动情况,给出了圆柱面上的边界条件和无穷远衰减条件。用渐近展开的方法求出內波的渐近解;对内波传布的规律作了讨论并与內波流场显示结果进行了比较,计算结果合理,运用本解法可望在求解分层流体中圆柱任意方向运动的问题,其它形状物体分层绕流的内波问题、非定常色散以及三维的内波问题中得到推广应用。

关 键 词:密度分层流体  内波  渐近方法  色散关系  常相位线

ASYMPTOTIC SOLUTION FOR INTERNAL WAVES BY A MOVING CYLINDER
Zhang Dieli.ASYMPTOTIC SOLUTION FOR INTERNAL WAVES BY A MOVING CYLINDER[J].chinese journal of theoretical and applied mechanics,1988(3).
Authors:Zhang Dieli
Abstract:In this paper an asymptotic method for solving the two dimensional internal waves is presented. An approximate solution of a cylinder moving vertically in an inviscid stable density continually stratified fluid is obtained. The propogation behaviour of internal waves is-discussed and the theoretical solution of internal waves is compared with visual observation, It is shown that the compated results are rational.
Keywords:density stratified fluid  internal waves  asymptotic approximation method  dispersion relation  constant phase line    
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