Knowledge Management System of Institue of Mechanics, CAS
| 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.
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| Source Publication | Applied Mathematics and Mechanics (English Edition)
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| 2006 | |
| Volume | 27Issue:3Pages:417-424 |
| ISSN | 0253-4827 |
| Abstract | 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. |
| Subject Area | 力学 |
| DOI | 10.1007/s10483-006-0319-1 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000236403900019 |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/16772 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong Prov, Peoples R China. |
| Recommended Citation 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. |
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