河川水理・水理計測

[II-91] APPROXIMATE SOLUTIONS ON FREE SURFACE PROFILE OF HYDRAULIC JUMP BY MEANS OF SIMPLIFIED DEPTH AVERAGED FLOW MODEL

*ティン トエトエ¹、細田 尚¹、Langhi M. Namdeo²、千布 大暉³ (1. 京都大学工学研究科都市社会工学専攻河川流域マネジメント工学講座、2. Dept. of Civil Eng., IITRM、3. 川崎重工)

Keywords:hydraulic jump, depth-averaged flow model, open channel flows

A simple depth-averaged flow model is derived considering the deformation of stream-wise velocity to reproduce the characteristics of hydraulic jump. Initially, representing the stream-wise velocity distribution using a power series of dimensionless depth, the dependency of coefficients in the power series on the spatial coordinate is formulated using 2-D continuity and momentum equations. The water surface profile equation for a hydraulic jump is deduced using the depth-averaged continuity and momentum equation with iteration procedures. Then the calculated approximate solutions for water surface profiles are verified with the previous experimental data.