Thick waterfalls from horizontal slots (Q1069791)

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scientific article; zbMATH DE number 3936754
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Thick waterfalls from horizontal slots
scientific article; zbMATH DE number 3936754

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    Thick waterfalls from horizontal slots (English)
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    1985
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    A numerical investigation is made of the two-dimensional steady, irrotational flow of a jet of water falling under the influence of gravity, from a channel with an upper wall. This nonlinear problem is formulated as an integro-differential equation for the two free surfaces of the jet, via a hodograph transformation, and this equation is then discretized to yield a finite set of nonlinear equations which are solved numerically by Newton's method.
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    horizontal slots
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    nozzle flow
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    thick waterfalls
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    two-dimensional steady, irrotational flow
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    jet of water
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    nonlinear problem
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    integro-differential equation
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    hodograph transformation
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    Newton's method
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