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APPROXIMATE SOLUTION FOR FREE SURFACE PROFILE OF UNDULAR HYDRAULIC JUMP
http://hdl.handle.net/20.500.12678/0000007228
http://hdl.handle.net/20.500.12678/00000072289fc9c8df-e9ca-43eb-97ab-4fd48c08895b
9e7062a2-707b-4249-b3c4-1eb4a7e97841
Name / File | License | Actions |
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APPROXIMATE SOLUTION FOR FREE SURFACE PROFILE OF UNDULAR HYDRAULIC JUMP,TTT.pdf (489 KB)
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Publication type | ||||||
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Conference paper | ||||||
Upload type | ||||||
Publication | ||||||
Title | ||||||
Title | APPROXIMATE SOLUTION FOR FREE SURFACE PROFILE OF UNDULAR HYDRAULIC JUMP | |||||
Language | en | |||||
Authors | ||||||
Thin Thwe Thwe | ||||||
Takashi Hosoda | ||||||
Shinichiro Onda | ||||||
Oscar Castro-Orgaz | ||||||
Description | ||||||
The mathematical formulation to derive an approximate solution for an undular hydraulic jump is described using the linearized Boussinesq equation with the eddy viscosity term. An approximate solution for a discontinuous hydraulic jump which is composed of two distributions of the upstream and downstream parts is firstly shown neglecting the vertical acceleration term in Boussinesq equation. Then, substituting the small deviation from a discontinuous jump into Boussinesq equation leads to a linearized equation which is applied to obtain the approximate solution of an undular jump. Extending the mathematical expression of a discontinuous jump solution, the simple equation is assumed as an approximate solution for an undular jump. And then the coefficients in the equation are fixed considering the coupling conditions of the upstream and downstream distributions. Finally, it is shown that the comparison of the approximate solution and the simulated result with Runge Kutter method is in good agreement. | ||||||
Conference papers | ||||||
JSCE Annual Conference | ||||||
Japan Society of Civil Engineers Annual Conference | ||||||
Japan |