Abstract. The exact solution of free-surface flow over a weir in a channel of finite depth is presented for a thin weir with various weir heights. This exact solution can be obtained by neglecting the effect of gravity. This is an extreme case which can be used to answer a question: why do we have to incline the wall to obtain solutions with a curving back jet but the flow leaves the wall smoothly.
Keywords: Bernoulli's equation; Cauchy's integral formula; free-surface flow; hodograph variable; Laplace's equation; zero gravity
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