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This research consider fluid flows inside porous media with impermeable and rough bottom. Start with the governing equations for fluid flows in a porous medium with porosity ne and permeability K. Applying Darcy's Law, we get equatios written in velocity potential functions. A simpler equation...
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| Main Author: | |
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/20252 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This research consider fluid flows inside porous media with impermeable and rough bottom. Start with the governing equations for fluid flows in a porous medium with porosity ne and permeability K. Applying Darcy's Law, we get equatios written in velocity potential functions. A simpler equation that was written in free surface displacement can be obtained by using the asymptotic perturbation method. This equation is known as the Boussinesq Equation, and it is analytically stable. Using this equation, the effectivity of porous media as wave reflectors was studied. Assuming an incident monochromatic wave enters a porous medium with infinite length. Analytical and numerical solutions for this problem show that soon after entering the porous media, the wave amplitude reduced significantly. The wave amplitude is asymptotic to a nonzero value, a2 per 4h0, where h0 represented the typical depth. It means that the undisturbed water level inside the porous medium is rise. As a wave reflector, a porous medium has an optimal width L+ that depends on its porosity and permeability. This optimal width can be obtained from the analytical or numerical solutions of the Boussinesq equation. |
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