Wave force on vertically submerged circular thin plate in shallow water |
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| Authors: | Pradip Deb Roy Sukamal Ghosh |
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| Institution: | aM.E. Department, Dr. B.C. Roy Engineering College, Jemua Road, Fuljhor, Durgapur, Dist. Burdwan, West Bengal 713 206, India;bM.E. Department, NIT, Mahatma Gandhi Avenue, Durgapur, Dist. Burdwan, West Bengal 713 209, India |
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| Abstract: | The paper presented is a solution of shallow water wave force, using small amplitude linear wave theory on two-dimensional vertically submerged circular thin plates under three different configurations: (1) a surface-piercing circular thin plate, (2) a submerged circular thin plate, and (3) a bottom-standing circular thin plate. Finally Morison's equation is used for the determination of wave force which is based on the linear wave theory. The plate is submerged in water near the shore on uniformly sloping bottom. The solution method is confined in a finite domain, which contains both the region of different depth of water and the plate. Laplace's equation and boundary value problems are solved in a finite domain, by the method of separation of variables and the small amplitude linear wave theory. The variation of horizontal force by single particle, total horizontal force and moment with respect to the wave amplitude are obtained at different depth of water and at different wave period. It is observed that the force and moment are converging with the increase of wave period and the gradients of force and moment with respect to the wave amplitude are extremely high for lower wave period. |
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| Keywords: | Linear wave Morison's equation Laplace's equation Wave force Moment |
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