Evolution of Slowly Modulated Wave Train on Porous Sea Bed

Tang Ling; Liu Yin-zhong

Volume 11 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(1): 79-86

Tang Ling, Liu Yin-zhong. Evolution of Slowly Modulated Wave Train on Porous Sea Bed[J]. Applied Mathematics and Mechanics, 1990, 11(1): 79-86.

Citation:

Tang Ling, Liu Yin-zhong. Evolution of Slowly Modulated Wave Train on Porous Sea Bed[J]. Applied Mathematics and Mechanics, 1990, 11(1): 79-86.

Citation:

Tang Ling, Liu Yin-zhong. Evolution of Slowly Modulated Wave Train on Porous Sea Bed[J]. Applied Mathematics and Mechanics, 1990, 11(1): 79-86.

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Evolution of Slowly Modulated Wave Train on Porous Sea Bed

Tang Ling¹,
Liu Yin-zhong²

1.
Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Shanghai Jiaotong University, Shanghai

Received Date: 1988-11-23
Publish Date: 1990-01-15

Abstract

Abstract

In this paper, the problem of evolution of slowly modulated wave train on porous sea bed is investigated with the method of multiple scales. For the sea water in the upper region, the classical potential theory is used while the fluid motion in the porous sea bed is described by Darcy's law. The equations of the first and second order modulations of wave amplitude are derived by using matching conditions on the sea bed. The corresponding solutions are found and seepage pressures are also given at the same time.

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References(5)

References

[1]	梅强中,《水波动力学》.科学出版社(1984).
[2]	钱伟长(主编).《奇导摄动理论及其在力学中的应用》,科学出版社(1981)
[3]	Liu,P.L-F.,Damping of Waves over a Porous Bed,J.of Hydraulics Div.,ASCE,99,(1972),2263-2271.
[4]	Macpherson,H.,The attenuation of waves over a nonrigid bed,J.F.M.,97(1980),721-742.
[5]	唐苓,海事结构物所受海床渗压计算,第二届青年力学年会(1988).

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