Capillary Effect on the Vertically Excited Surface Wave in a Circular Cylindrical Vessel

JIAN Yong-jun; E Xue-quan; ZHANG Jie

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JIAN Yong-jun, E Xue-quan, ZHANG Jie. Capillary Effect on the Vertically Excited Surface Wave in a Circular Cylindrical Vessel[J]. Applied Mathematics and Mechanics, 2006, 27(2): 204-210.

Citation:

JIAN Yong-jun, E Xue-quan, ZHANG Jie. Capillary Effect on the Vertically Excited Surface Wave in a Circular Cylindrical Vessel[J]. Applied Mathematics and Mechanics, 2006, 27(2): 204-210.

Citation:

JIAN Yong-jun, E Xue-quan, ZHANG Jie. Capillary Effect on the Vertically Excited Surface Wave in a Circular Cylindrical Vessel[J]. Applied Mathematics and Mechanics, 2006, 27(2): 204-210.

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Capillary Effect on the Vertically Excited Surface Wave in a Circular Cylindrical Vessel

1.
First Institute of Oceanography, State Oceanic Administration, Qingdao, Shandong 266061, P. R. China;

Received Date: 2004-06-09
Rev Recd Date: 2005-08-17
Publish Date: 2006-02-15

Abstract

Abstract

In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions was developed in inviscid fluids to investigate the motion of single free surface standing wave including the effect of surface tension. A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation. The results show that when forced frequency is lower, the effect of surface tension on mode selection of surface wave is not important. However, when forced frequency is higher, the surface tension can not be neglected. This proved that the surface tension causes free surface returning to equilibrium location. In addition, due to considering the effect of surface tension, the theoretical result much more approaches to experimental results than that of no surface tension.
- vertically forced oscillation,
- nonlinear amplitude equation,
- surface tension,
- surface wave mode

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References(10)

References

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