IMECH-IR  > 力学所知识产出(1956-2008)
参数激励圆柱形容器中的非线性Faraday波
Alternative TitleNonlinear Faraday Waves in a Parametrically Excited Circular Cylindrical Container
菅永军; 鄂学全; 柏威
Source Publication应用数学和力学
2003-10-15
Volume24Issue:10Pages:1057-1068
ISSN1000-0887
Abstract在柱坐标系下,通过奇异摄动理论的多尺度展开法求解势流方程,研究了垂直强迫激励圆柱形容器中的单一模式水表面驻波模式.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,用两变量时间展开法得到一个具有立方项以及底部驱动项影响的非线性振幅方程.对上述方程进行了数值计算,计算的结果显示了在不同驱动振幅和驱动频率下,会激发不同自由水表面驻波模式,从等高线的图像来看,和以往的实验结果相当吻合.
Keyword垂直强迫振动 非线性 Faraday波 奇异摄动展开 振幅方程
Indexed ByCSCD
Language中文
Funding Organization国家自然科学基金资助项目(19772063,19772068)
CSCD IDCSCD:1319895
Citation statistics
Cited Times:5[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/41560
Collection力学所知识产出(1956-2008)
Corresponding Author菅永军
Recommended Citation
GB/T 7714
菅永军,鄂学全,柏威. 参数激励圆柱形容器中的非线性Faraday波[J]. 应用数学和力学,2003,24(10):1057-1068.
APA 菅永军,鄂学全,&柏威.(2003).参数激励圆柱形容器中的非线性Faraday波.应用数学和力学,24(10),1057-1068.
MLA 菅永军,et al."参数激励圆柱形容器中的非线性Faraday波".应用数学和力学 24.10(2003):1057-1068.
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