Instability of the vertically forced surface wave in a circular cylindrical container


Autoria(s): 菅永军; 鄂学全
Data(s)

2004

Resumo

The nonlinear amplitude equation, which was derived by Jian Yongjun employing expansion of two-time scales in inviscid fluids in a vertically oscillating circular cylindrical vessel, is modified by introducing a damping term due to the viscous dissipation of this system. Instability of the surface wave is analysed and properties of the solutions of the modified equation are determined together with phase-plane trajectories. A necessary condition of forming a stable surface wave is obtained and unstable regions are illustrated. Research results show that the stable pattern of surface wave will not lose its stability to an infinitesimal disturbance.

Identificador

http://dspace.imech.ac.cn/handle/311007/33761

http://www.irgrid.ac.cn/handle/1471x/2729

Idioma(s)

英语

Fonte

Chinese Physics.2004,13(10):1631-1638

Palavras-Chave #Instability #Vertically Forced Oscillation #Amplitude Equation #Phase-Plane Trajectories #Faraday Experiment #Viscous Fluids #Patterns
Tipo

期刊论文