Internal wave exciting force on a rectangular barge in a two-layer fluid of finite depth
Manyanga O. David1*, Duan Wen-yang2, Han Xuliang2 and Cheng Ping2
Research Article | Published September 2014
Advancement in Scientific and Engineering Research, Vol. 2(3), pp. 48-61
1Mathematics Department, Egerton University, 536-20115, Egerton-Njoro, Kenya.
2College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China.
*Corresponding author: E-mail:
davondiek@yahoo.com
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Internal waves may greatly affect the hydrodynamics of a body performing in a stratified fluid. The internal waves may occur due to density difference of a fluid having layers with different temperatures in the vertical sense or salinity. In such cases, the waves perform differently in each layer, depending on the wave mode. Consequently, the wave loads such as the wave exciting forces will vary greatly. To study these phenomena, one can model a two-layer fluid with free surface and a rigid bottom. In such a fluid, there are two modes of motion due to the surface waves and internal waves. The former is referred to as the surface wave mode while the latter is internal wave mode. For these two modes, the wave exciting forces are of great interest to study. Presently, no one has clearly solved three dimensional internal wave exciting forces for a two-layer fluid of finite depth. The present work has solved internal wave forces for the body floating in the upper layer and lower layer
of a two-layer fluid of finite depth. Green functions are used to obtain the radiation potential, together with the incidence wave potential to calculate the wave exciting forces. A boundary integral equation method together with the Green’s theorem is used to get the velocity potential on the wetted surface of the body. The advantage of the method is that it involves integration once to obtain the pressure forces and in a similar manner the velocity potential required. The present work is very applicable in the design of the off shore structures and constructions taking place in shallowly stratified fluids.
Keywords: Internal waves, wave exciting force, Green functions, velocity potential.
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Citation: David MO, Wen-yang D, Xuliang H, Ping C (2014). An assessment of alloying elements and hardness in gold and silver jewelleries. Adv. Sci. Eng. Res. 2(3): 48-61
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