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本文分别在理想流体和弱粘性流体中,利用奇异摄动理论的两时间变量展开法,研究了垂直强迫激励圆柱形容器中的单一表面驻波模式的形成、结构特,点及其随时间的演化规律。首先假设流体是无粘、不可压且运动是无旋的,在忽略了表面张力的影响下,得到了描述表面波运动的非线性振幅方程及二阶自由面位移的解析表达式。通过数值计算,在不同驱动频率下,从理论上得到了非常丰富且只有少数在鄂学全等(19%,1998)的实验中报道过的表面波流谱模式。尽管所建立的数学模型和鄂学全等(19%。1998)的实验显示有所差别 ...
菅永军
core
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