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Doctoral Thesis
DOI
https://doi.org/10.11606/T.18.1999.tde-10062024-145927
Document
Author
Full name
Lunalva Azevedo Neves
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1999
Supervisor
Committee
Arens, Hans George (President)
Coiado, Evaldo Miranda
Freire, Jose Teixeira
Porto, Rodrigo de Melo
Reis, Luisa Fernanda Ribeiro
Title in Portuguese
A comparação entre duas condições de contorno num modelo não permanente unidimensional, aplicado ao esvaziamento de um canal retangular
Keywords in Portuguese
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Abstract in Portuguese
O escoamento não permanente em canais retangulares e circulares é descrito por um conjunto de equações diferenciais parciais hiperbólicas, com as condições de contorno e as condições iniciais. Neste trabalho de pesquisa, o escoamento não permanente em um canal retangular de declividade nula, resultante da manobra instantânea de uma comporta, foi experimentalmente e numericamente investigado. Portanto, o intuito foi verificar o comportamento do nível de água ao longo do canal, e principalmente em um trecho a montante da comporta, o qual corresponda a 'Xo'igual'C IND.1''H IND.E', em um canal de seção retangular, onde 'H IND. E' é a profundidade da água na extremidade de jusante do canal, e 'C IND. 1' a constante que será aplicada em escoamento não permanente. Para um canal de seção circular, o estudo se restringiu apenas ao procedimento numérico. As técnicas numéricas usadas para solucionar as equações do escoamento não permanente, neste trabalho, são: o método MacCormack, o método Lax-Wendroff e o método das Características. As técnicas numéricas são demonstradas, e suas eficiências são comparadas. Os resultados numéricos foram calculados, utilizando-se duas condições de contorno, os quais se aproximam bem dos resultados experimentais
Title in English
.
Keywords in English
.
Abstract in English
This Thesis mainly focus on that íhe unsteady flows in open channel wíth rectangular and circular secti ns, which are govemed by partial differencial equations, i. e., Saint Vennant equations, and corresponding initial and boundary conditions. In the research, the unsteady flow in rectangular open channel, resulted by an abrupt openning of a gate, have been experimently and numerically investigated. The object of this research is to verify the behaviours of the depth of flow in the up-reach of the gate, i. e., from the gate to the water-depth C1he, where he represents the water- depth at the downstream end of open channel, and C1 a constaní in unsteady flow. For the open channel with circular section, the research is only camed out by using numerical modeL Three explicit finite-difference schemes (MacCormack, Lax-WendrofF and CaracteristÍcs) are employed and compared each other for analysing the unsteady, free-surface flows which have instantaneous discontinuous. The abilíty and precisíon of the numerical schemes for modelling the discontinuous flows are presented in detail.The proposed boundary condition in this Thesis is compared wíth experimental results and the theorical results of critical water-depth in open channel flow. The boundary conditions used Ín the models are very significant. The error Íntroduced by boundaries is propagated and refletect through ali ofthe grid points. The good precision can be verified by the comparison between the theorical results and experimental results. The proposed boundary condition can be used in the short channels conveniently.
 
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Publishing Date
2024-06-10
 
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