Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid

doi:10.1007/s10483-006-0319-1

IMECH-IR > 力学所知识产出(1956-2008)

	Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid
	Jian YJ(菅永军); E XQ(鄂学全); Zhang J(张杰); Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong Prov, Peoples R China.
发表期刊	Applied Mathematics and Mechanics (English Edition)
	2006
卷号	27 期号:3 页码:417-424
ISSN	0253-4827
摘要	In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions is developed in weakly viscous fluids to investigate the motion of single free surface standing wave by linearizing the Navier-Stokes equation. The fluid field is divided into an outer potential flow region and an inner boundary layer region. The solutions of both two regions are obtained and a linear amplitude equation incorporating damping term and external excitation is derived. The condition to appear stable surface wave is obtained and the critical curve is determined. In addition, an analytical expression of damping coefficient is determined. Finally, the dispersion relation, which has been derived from the inviscid fluid approximation, is modified by adding linear damping. It is found that the modified results are reasonably closer to experimental results than former theory. Result shows that when forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when forcing frequency is high, the surface tension of the fluid is prominent.
学科领域	力学
DOI	10.1007/s10483-006-0319-1
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000236403900019
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/16772
专题	力学所知识产出(1956-2008)
通讯作者	Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong Prov, Peoples R China.
推荐引用方式 GB/T 7714	Jian YJ,E XQ,Zhang J,et al. Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid[J]. Applied Mathematics and Mechanics (English Edition),2006,27,3,:417-424.
APA	菅永军,鄂学全,张杰,&Jian, YJ .(2006).Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid.Applied Mathematics and Mechanics (English Edition),27(3),417-424.
MLA	菅永军,et al."Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid".Applied Mathematics and Mechanics (English Edition) 27.3(2006):417-424.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
DAMPING OF VERTICALL（575KB）			开放获取	--	浏览下载