2026-07-26T13:20:19Z https://meral.edu.mm/oai

oai:meral.edu.mm:recid/00007228 2021-12-13T02:25:03Z 1608151108672:1608152148040 user-mmu

APPROXIMATE SOLUTION FOR FREE SURFACE PROFILE OF UNDULAR HYDRAULIC JUMP Thin Thwe Thwe Takashi Hosoda Shinichiro Onda Oscar Castro-Orgaz 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. http://hdl.handle.net/20.500.12678/0000007228 https://meral.edu.mm/records/7228