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avaliações numéricas de chaminés de equilíbrio - ppgerha ...

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ABSTRACT<br />

The <strong>de</strong>tailed study of the hydraulic transients of water power circuits of high head<br />

hydropower plants and the <strong>de</strong>sign of surge tanks is an effort that can indicate the<br />

need for substantial changes of the structures, and the opportunity for <strong>de</strong>fining them<br />

more economically. With the present easy and cheap availability of computational<br />

resources different computational methods for the solution of the non-permanent flow<br />

equations in conduits can be <strong>de</strong>veloped without major difficulties. The aim of this<br />

dissertation is the comparison among the results of computational mo<strong>de</strong>ls based on<br />

numerical methods of different complexities and the data taken from a prototype<br />

installed in a hydraulic laboratory.<br />

Basically four methods were compared: the first is based on ordinary differential<br />

equations of the permanent flow. The second one corresponds to the solution of the<br />

non-permanent flow equations by the characteristic method and the third is based on<br />

the criteria edited by ELETROBRÁS. The second and the third methods are wi<strong>de</strong>ly<br />

used by <strong>de</strong>signers because its simplicity. The forth is the solution of the variable flow<br />

by the Lax diffusive scheme using Pascal computer language and finite differences<br />

method.<br />

Generally all four methods presented results adherent to the prototype data. The<br />

computational methods have only shown greater differences on the valve opening<br />

data. The exception resulted from the application of ELETROBRÁS’ criteria that<br />

showed major differences and conservative results, generally leading to anti<br />

economic <strong>de</strong>sign. Thus this method is just applicable for preliminary studies.<br />

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