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This final project studies fluid flow on an inclined open channel. Based on the conservation of mass and the momentum equation, we derive the governing equation. The equation is known as the Saint-Venant equation. We study two particular cases. The first case is flow on an inclined plane, and the se...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/10386 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This final project studies fluid flow on an inclined open channel. Based on the conservation of mass and the momentum equation, we derive the governing equation. The equation is known as the Saint-Venant equation. We study two particular cases. The first case is flow on an inclined plane, and the second case is flow on a channel. The difference between those two is only on the wetted perimeter p. Wetted perimeter is propotional with the contact area between fluid and the boundary. This perimeter p will determine the magnitude of the drag force, in the first case p is the width of the plane, but in the second case p is the width plus twice of the heigth. Finite difference approximation is applied to the equation and several simulations are presented. We simulate the case of opening a water gate, and the evolution of monochromatic wave. |
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