複雑な境界条件を持つ開水路一次元不定流の基礎方程式について

The set of the equations for an open channel unsteady flow with the complex boundaries is derived. The basic equations for such flow are usually obtained from the momentum equations or the Bernoulli equation. However, these treatment cannot take into accent the complex flow conditions such that inflow from and outflow to banks, rainfall from above and ground water onto the bed. In this paper, the basic equations are obtained strictly by the integrations of the Reynolds equations and the equation of the kineteic energy of mean flow considering the boundary conditions. In these treatment, the main assumptions used in the derivation of the basic equations for the open channel flow are clarified. The equations of the water surface form in more simple cases are deduced from the set of the equations for the general case based on the Reynolds equations or the equation of the kinetic energy of mean flow.departmental bulletin pape