Graduate Thesis Or Dissertation
 

Wave interaction with permeable structures

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  • A theory is developed to provide an analytical solution to an unsteady flow field which is partially occupied by a porous structure. The flow is induced by a small amplitude incident wave train. The porous structure may contain multi-layer anisotropic but homogeneous media. Three typical porous structures are investigated: a seawall with toe protection, a rubble-mound breakwater, and a caisson on a rubble foundation. Theoretically, however, any two-dimensional porous structure with an arbitrary geometry can be treated by this analytical procedure. Resistance forces in the porous structures are modeled as inertia forces, skin friction drag, and form drag. Form drag is empirically nonlinear and is replaced by a linear drag term utilizing Lorentz's condition of equivalent work. The periodic small motion can then be shown to be irrotational and a single-valued velocity potential is defined. The velocity potential satisfies a partial differential equation which reduces to the Laplace equation when the porous structures are isotropic. The flow domain of a porous structure with inclined boundaries is first partitioned and approximated by a group of rectangular, layered sub-domains. An eigenseries representation of linear wave theory in each sub-domain is then solved from the imposed boundary value problem by the method of separation of variables. The kinematic and the dynamic boundary conditions on the boundary between any two adjacent sub-domains and on the free surface are matched. The kinematic boundary condition on any impermeable boundary is satisfied. The solution in the sub-domain with an open boundary at infinity also satisfies Sommerfeld's radiation condition. A large scale experiment of a seawall with toe protection has been conducted to validate the theory. Measurements included the pressure distribution above and within the structure and the incident and reflected wave characteristics. Theoretical and experimental dynamic pressures in the toe compare very well. In addition, theoretical and experimental reflection coefficients follow the same trend of decreasing magnitude with increasing wave number and wave steepness.
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file details LeeChungPan1988.pdf 2017-08-22 Pubblico Scaricare