基于自由表面合成纹影法的大尺度圆盘中边缘波空间衰减特性研究  

Research on Spatial Decay of Edge Waves in Large-Aspect-Ratio Cylinder Using Free-Surface Synthetic Schlieren Method

作　　者：李庆文 张仕敏 师晨斐 林志良[1] Li Qingwen;Zhang Shimin;Shi Chenfei;Lin Zhiliang(State Key Laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院海洋工程国家重点实验室,上海200240

出　　处：《水动力学研究与进展（A辑）》2023年第5期737-746,共10页Chinese Journal of Hydrodynamics

摘　　要：当盛有液体的薄层圆柱形器皿(圆盘)受到外加垂向激励时,其近壁处弯月形液面的不稳定性会激发出毛细重力波,此类表面波的波形和传播特性与边壁形状有关,故被称为边缘波。该文采用改进的自由表面合成纹影法,结合多步滤波技术,对实验产生的边缘波进行自由表面重构,获得准确的液面高度变化实时信息,进一步定量分析大尺度圆盘中边缘波的空间传播特性。研究发现,大尺度圆盘中的边缘波是一种指数衰减的谐振波,其传播过程可分为激发与过渡、纯衰减和自相互作用三个阶段。实验结果表明黏性耗散、有限尺度效应和外加激励等因素对边缘波的空间衰减有影响,且空间衰减系数与激励频率之间是指数关系,衰减长度与激励频率的平方之间是反比关系。When a thin cylindrical vessel filled with liquid is subjected to sinusoidal vertical vibration, the meniscus surface near the wall may become unstable and give rise to capillary-gravity waves. These waves are called edge waves, whose propagation characteristics depend on the shape of the container. In this paper, an improved free-surface synthetic schlieren method is used to combined with a multi-step filtering technique, to reconstruct the experimentally generated edge waves. The accurate time-resolved information is obtained and quantify the spatial propagation characteristics of the edge waves in a large-aspect-ratio container is quantified. The results show that the edge waves are harmonic resonant waves which decay exponentially. Their propagation can be divided into three stages: excitation and transition, pure decay, and self-interaction. Factors such as liquid viscosity dissipation, finite size of the container, and driving parameters of vertical vibration have a significant effect on the spatial decay of the edge waves. It is found that the spatial decay coefficient is exponentially related to the excitation frequency, and the decay length is inversely related to the square of the excitation frequency.

关 键 词：边缘波 毛细重力波 液体自由表面重构 黏性耗散 空间衰减特性 

分 类 号：TU476[建筑科学—结构工程]