Dynamics of solitary waves on a ferrofluid jet: the Hamiltonian framework
文献类型：期刊论文
| 作者 | Xu GX(许葛幸)2,3; Wang Z(王展)1,2,3
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2025-01-09 |
| 卷号 | 1002页码:39 |
| 关键词 | capillary waves solitary waves |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2024.1196 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | The stability and dynamics of solitary waves propagating along the surface of an inviscid ferrofluid jet in the absence of gravity are investigated analytically and numerically. For the axisymmetric geometry, the problem is shown to be a conservative system with total energy as the Hamiltonian; however, one of the canonical variables differs from those in the classic water-wave problem in the Cartesian coordinate system. The Dirichlet-Neumann operator appearing in the kinetic energy is then expanded as a Taylor series, described in homogeneous powers of the surface displacement. Based on the further analysis of the Dirichlet-Neumann operator, a systematic procedure is proposed to derive reduced model equations of multiple scales in various asymptotic limits from the full Euler equations in the Hamiltonian/Lagrangian framework. Particularly, a fully dispersive model arising from retaining terms valid up to the quartic order in the series expansion of the kinetic energy, which results in quadratic and cubic algebraic nonlinearities in Hamilton's equations and henceforth is abbreviated as the cubic full-dispersion model, is proposed. By comparing bifurcation curves and wave profiles of various types of axisymmetric solitary waves among different model equations, the cubic full-dispersion model is found to agree well with the full Euler equations, even for waves of considerably large amplitudes. The stability properties of axisymmetric solitary waves subjected to longitudinal disturbances are verified with the newly proposed model. Our analytical results, consistent with Saffman's theory, indicate that in the axisymmetric cylindrical system, the stability exchange subjected to superharmonic perturbations also occurs at the stationary point of the speed-energy bifurcation curve. A series of numerical experiments for the stability and dynamics of solitary waves are performed via the numerical time integration of the model equation, and collision interactions between stable solitary waves show non-elastic features. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | NONLINEAR SURFACE-WAVES ; SUPERHARMONIC INSTABILITY ; FINITE-AMPLITUDE ; GRAVITY-WAVES ; WATER ; STABILITY |
| 资助项目 | National Science Foundation for Distinguished Young Scholars[12325207] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001392412200001 |
| 资助机构 | National Science Foundation for Distinguished Young Scholars |
| 其他责任者 | Wang, Zhan |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/98089]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Xu GX,Wang Z. Dynamics of solitary waves on a ferrofluid jet: the Hamiltonian framework[J]. JOURNAL OF FLUID MECHANICS,2025,1002:39. |
| APA | 许葛幸,&王展.(2025).Dynamics of solitary waves on a ferrofluid jet: the Hamiltonian framework.JOURNAL OF FLUID MECHANICS,1002,39. |
| MLA | 许葛幸,et al."Dynamics of solitary waves on a ferrofluid jet: the Hamiltonian framework".JOURNAL OF FLUID MECHANICS 1002(2025):39. |
入库方式： OAI收割
来源：力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。