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  1. Myanmar Maritime University
  2. Department of River and Coastal Engineering

Approximate Solution on Water Surface Profile of Undular Jump Using Boussinesq Equation with Eddy Viscosity Term

http://hdl.handle.net/20.500.12678/0000007232
http://hdl.handle.net/20.500.12678/0000007232
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eb2c7cd3-e69c-4296-b84a-020cadce2b2d
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Thin_Hosoda_74_I_733_JSCE_2018.pdf Thin_Hosoda_74_I_733_JSCE_2018.pdf (399 KB)
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Journal article
Upload type
Publication
Title
Title Approximate Solution on Water Surface Profile of Undular Jump Using Boussinesq Equation with Eddy Viscosity Term
Language ja
Authors
THIN THWE THWE
Takashi HOSODA
Shinichiro ONDA
Oscar CASTRO-ORGAZ
Description
The mathematical formulation to derive an approximate water surface profile 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 derived neglecting the vertical acceleration term in Boussinesq equation. Then, substituting the small deviation from a discontinuous jump profile 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 distribution for an undular jump and then the coefficients included in the basic equations are fixed considering the connection conditions of the upstream and downstream distributions at the origin. Finally, it is shown that the approximate solutions are in good agreement with the simulated results calculated using Runge-Kutter method.
Journal articles
5
Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering)
7336-738
74
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