Abstract
Abstract
Free surface flow is a classical problem in hydrodynamics, such as flow under a sluice gate. The ratio between the uniform depth at far downstream and the height of the gate, called contraction coefficient, is important in building the sluice gate. In this report, that number is calculated based on a model of potential flow, without involving gravity. A conformal mapping and defining an analytical function can are the main mathematical problem that should be done, before solving the model. Here, we mainly determine the coordinates of the free surface of thow from the gate, they are calculated by integral form, and at far downstream we obtain the fluid depth as used to calculate the contraction coefficient, i.e. 0.611.
Subject
General Physics and Astronomy
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