Atualmente, está se tornando cada vez mais usual, na engenharia brasileira e internacional, aproveitamentos hidroelétricos com baixa queda e elevada vazão específica, resultando em um escoamento na entrada do dissipador de energia hidráulica com baixos números de Froude (Fr1). Os aproveitamentos da UHE Santo Antonio, da UHE Jirau e da AHE Belo Monte pertencem a essa classe e se encontram atualmente em fase de construção. Tendo em vista que, até recentemente, eram raros os casos de bacias de dissipação por ressalto hidráulico projetadas com baixo número de Froude, menor que 4,5, para esses casos, a literatura especializada não oferece estudos específicos sobre o comportamento da dissipação de energia nem das características da distribuição longitudinal de pressão. Neste contexto, o presente trabalho tem como objetivo explorar a faixa em que o número de Froude, na entrada da bacia de dissipação, é inferior a 5. Além disso, também pretende complementar os gráficos disponíveis para auxiliar o dimensionamento de vertedouros de baixa queda, bem como verificar se as considerações já existentes para os casos em que o número de Froude é maior que 4,5 podem ou não ser adotadas para prever os valores de pressão junto ao fundo de bacias de dissipação. Como resultados finais desta pesquisa são apresentados os gráficos, nos quais foram inseridos os casos analisados para baixa queda e número de Froude anteriormente especificados. O estudo foi experimental, utilizando-se a técnica da modelação física. Foi utilizado o modelo de detalhe do vertedouro da UHE Santo Antonio na escala 1:50, obedecendo o critério de escala proposto por Froude. Os resultados deste trabalho se mostraram satisfatórios, tendo em vista que acrescentaram mais resultados experimentais a gráficos conhecidos e trouxeram novas tendências que possivelmente estão somente presentes em aproveitamentos de baixa queda e elevada vazão específica. / Currently, is becoming increasingly common in the Brazilian and international engineering hydroelectric developments with low head and high specific flow rate, resulting in a flow with low Froude number at the energy dissipator entrance. The hydroelectric power plants (HPP) of Santo Antonio, Jirau and Belo Monte belongs to this case and are currently under construction. Considering that until recently the cases of stilling basins designed for hydraulic jump with low Froude number (less than 4.5) have been rare, the specialized literature offer no specific studies on the energy dissipation behavior or on the characteristics of the longitudinal distribution pressure. This work aims to specifically explore the range in which the Froude number (Fr1) at the dissipation basin entrance is less than 5. Furthermore, it also intends to supplement the available graphs to assist the design of low-drop spillways and verify that the considerations made for Froude numbers greater than 4.5 can be adopted to predict pressure values on the bottom of the dissipation basin (stilling basin). The final results of this research are presented in graphs, in which were inserted the analyzed cases of low-head and low Froude number as specified above. The experimental study was made using the physical modeling technique. A 1:50 scale model of the spillway of HPP Santo Antonio was used according to the criterion proposed by Froude. The results were satisfactory, considering that they added more experimental results to the known graphs and brought new trends that are likely to be present at low head hydroelectric power plants and high specific flow.

O dimensionamento seguro e econômico de dissipadores de energia por ressalto hidráulico formado a jusante de vertedouros passa pela compreensão de como se processa a dinâmica do escoamento. Para que isso seja possível é necessário que sejam identificadas as características macroturbulentas do escoamento, tanto no que diz respeito aos valores médios quanto às parcelas flutuantes e extremas dos esforços de pressões atuantes junto ao fundo. Este trabalho, então, propõe a análise dos esforços hidrodinâmicos atuantes na estrutura hidráulica a partir de uma nova abordagem que preconiza que os esforços atuantes junto ao fundo devem ser avaliados como um somatório dos efeitos hidrodinâmicos ocasionados pelas distintas condições do escoamento. Dessa forma, foram avaliados individualmente os efeitos: (i) da curva de concordância vertical entre o perfil vertente e a bacia de dissipação e a sua influência sobre esta, (ii) do escoamento em regime rápido sobre um plano horizontal, (iii) da macroturbulência presente no ressalto hidráulico livre (tipo A) e (iv) do afogamento do ressalto hidráulico. Essa avaliação individualizada proporciona, em última instância, a identificação global dos esforços atuantes junto à estrutura hidráulica, conferindo sensibilidade a esta análise global a partir da identificação da influência de cada um dos efeitos atuantes e das respectivas consequências sobre a bacia de dissipação. O trabalho apresenta, assim, um método analítico de previsão de pressões médias, flutuantes e extremas atuantes ao longo de uma bacia de dissipação por ressalto hidráulico, quer este seja formado integralmente na bacia de dissipação, quer este seja formado parcialmente sobre o perfil vertente, condição predominante na operação de sistemas estruturais de dissipação de energia hidráulica. / To safely and economically design hydraulic jump energy dissipators downstream spillways the comprehension of the flow dynamics is needed. To achieve this it is needed to identify the macroturbulent characteristics of the flow, both the mean pressure values as well as the fluctuating and extreme pressures acting on the floor of the stilling basin. The present work proposes to analyze the hydrodynamic forces acting on the structures by means of a new approach which states that the pressures acting on the basin floor can be evaluates as the sum of hydrodynamic effects caused by the distinct flow conditions. The following effects were individually evaluated (i) transition from the spillway slope to the flat basin slope. (ii) supercrítical flow over a flat slope, (iii) macroturbulence present in a classic hydraulic jump (type A jump) and (iv) jump submergence. This individualized evaluation aims to identify the global forces acting on the spillway structure conferring sensitivity to the global analysis from the identification of each of the acting effects and its consequences. The present work relates an analytical method for predicting of mean, fluctuating and extreme pressures acting on a hydraulic jump stilling basin, be it formed integrally on the structure or partially over the spillway, usual condition in the basin operation.

O dimensionamento seguro e econômico de dissipadores de energia por ressalto hidráulico formado a jusante de vertedouros passa pela compreensão de como se processa a dinâmica do escoamento. Para que isso seja possível é necessário que sejam identificadas as características macroturbulentas do escoamento, tanto no que diz respeito aos valores médios quanto às parcelas flutuantes e extremas dos esforços de pressões atuantes junto ao fundo. Este trabalho, então, propõe a análise dos esforços hidrodinâmicos atuantes na estrutura hidráulica a partir de uma nova abordagem que preconiza que os esforços atuantes junto ao fundo devem ser avaliados como um somatório dos efeitos hidrodinâmicos ocasionados pelas distintas condições do escoamento. Dessa forma, foram avaliados individualmente os efeitos: (i) da curva de concordância vertical entre o perfil vertente e a bacia de dissipação e a sua influência sobre esta, (ii) do escoamento em regime rápido sobre um plano horizontal, (iii) da macroturbulência presente no ressalto hidráulico livre (tipo A) e (iv) do afogamento do ressalto hidráulico. Essa avaliação individualizada proporciona, em última instância, a identificação global dos esforços atuantes junto à estrutura hidráulica, conferindo sensibilidade a esta análise global a partir da identificação da influência de cada um dos efeitos atuantes e das respectivas consequências sobre a bacia de dissipação. O trabalho apresenta, assim, um método analítico de previsão de pressões médias, flutuantes e extremas atuantes ao longo de uma bacia de dissipação por ressalto hidráulico, quer este seja formado integralmente na bacia de dissipação, quer este seja formado parcialmente sobre o perfil vertente, condição predominante na operação de sistemas estruturais de dissipação de energia hidráulica. / To safely and economically design hydraulic jump energy dissipators downstream spillways the comprehension of the flow dynamics is needed. To achieve this it is needed to identify the macroturbulent characteristics of the flow, both the mean pressure values as well as the fluctuating and extreme pressures acting on the floor of the stilling basin. The present work proposes to analyze the hydrodynamic forces acting on the structures by means of a new approach which states that the pressures acting on the basin floor can be evaluates as the sum of hydrodynamic effects caused by the distinct flow conditions. The following effects were individually evaluated (i) transition from the spillway slope to the flat basin slope. (ii) supercrítical flow over a flat slope, (iii) macroturbulence present in a classic hydraulic jump (type A jump) and (iv) jump submergence. This individualized evaluation aims to identify the global forces acting on the spillway structure conferring sensitivity to the global analysis from the identification of each of the acting effects and its consequences. The present work relates an analytical method for predicting of mean, fluctuating and extreme pressures acting on a hydraulic jump stilling basin, be it formed integrally on the structure or partially over the spillway, usual condition in the basin operation.

Atualmente, está se tornando cada vez mais usual, na engenharia brasileira e internacional, aproveitamentos hidroelétricos com baixa queda e elevada vazão específica, resultando em um escoamento na entrada do dissipador de energia hidráulica com baixos números de Froude (Fr1). Os aproveitamentos da UHE Santo Antonio, da UHE Jirau e da AHE Belo Monte pertencem a essa classe e se encontram atualmente em fase de construção. Tendo em vista que, até recentemente, eram raros os casos de bacias de dissipação por ressalto hidráulico projetadas com baixo número de Froude, menor que 4,5, para esses casos, a literatura especializada não oferece estudos específicos sobre o comportamento da dissipação de energia nem das características da distribuição longitudinal de pressão. Neste contexto, o presente trabalho tem como objetivo explorar a faixa em que o número de Froude, na entrada da bacia de dissipação, é inferior a 5. Além disso, também pretende complementar os gráficos disponíveis para auxiliar o dimensionamento de vertedouros de baixa queda, bem como verificar se as considerações já existentes para os casos em que o número de Froude é maior que 4,5 podem ou não ser adotadas para prever os valores de pressão junto ao fundo de bacias de dissipação. Como resultados finais desta pesquisa são apresentados os gráficos, nos quais foram inseridos os casos analisados para baixa queda e número de Froude anteriormente especificados. O estudo foi experimental, utilizando-se a técnica da modelação física. Foi utilizado o modelo de detalhe do vertedouro da UHE Santo Antonio na escala 1:50, obedecendo o critério de escala proposto por Froude. Os resultados deste trabalho se mostraram satisfatórios, tendo em vista que acrescentaram mais resultados experimentais a gráficos conhecidos e trouxeram novas tendências que possivelmente estão somente presentes em aproveitamentos de baixa queda e elevada vazão específica. / Currently, is becoming increasingly common in the Brazilian and international engineering hydroelectric developments with low head and high specific flow rate, resulting in a flow with low Froude number at the energy dissipator entrance. The hydroelectric power plants (HPP) of Santo Antonio, Jirau and Belo Monte belongs to this case and are currently under construction. Considering that until recently the cases of stilling basins designed for hydraulic jump with low Froude number (less than 4.5) have been rare, the specialized literature offer no specific studies on the energy dissipation behavior or on the characteristics of the longitudinal distribution pressure. This work aims to specifically explore the range in which the Froude number (Fr1) at the dissipation basin entrance is less than 5. Furthermore, it also intends to supplement the available graphs to assist the design of low-drop spillways and verify that the considerations made for Froude numbers greater than 4.5 can be adopted to predict pressure values on the bottom of the dissipation basin (stilling basin). The final results of this research are presented in graphs, in which were inserted the analyzed cases of low-head and low Froude number as specified above. The experimental study was made using the physical modeling technique. A 1:50 scale model of the spillway of HPP Santo Antonio was used according to the criterion proposed by Froude. The results were satisfactory, considering that they added more experimental results to the known graphs and brought new trends that are likely to be present at low head hydroelectric power plants and high specific flow.

Vertedouros em degraus têm se tornado uma boa opção em barragens pela facilidade de construção e, principalmente, por apresentar uma dissipação significativa de energia ao longo de sua calha, o que faz com que a parcela de energia a ser dissipada por ressalto hidráulico a jusante da barragem diminua, ocasionando uma significativa redução nas dimensões da estrutura da bacia de dissipação. A aplicação de soleira terminal em bacias de dissipação provoca uma melhor distribuição das velocidades e um melhor comportamento da flutuação de pressões ao longo da bacia e a jusante, aumentando assim seu desempenho na dissipação de energia. A combinação destas duas formas de dissipação (vertedouro em degraus e bacia de dissipação com soleira terminal) pode ser utilizada como uma solução econômica e segura, entretanto, o dimensionamento dessas estruturas esbarra na falta de critérios e informações, principalmente quanto ao tamanho e posição ideal para o projeto de uma soleira terminal. No presente trabalho foram analisados os dados de pressões médias e flutuações de pressões no interior da bacia e a jusante da soleira terminal, sendo apresentadas metodologias para dimensionamento de tamanho e para posicionamento de uma soleira em função do número de Froude da entrada do ressalto hidráulico. Também está sendo apresentada uma metodologia para análise das pressões médias em bacia do tipo I (sem soleira), além de uma comparação do comportamento dos esforços em bacia com soleira e sem soleira, com vertedouro em degraus e vertedouro de calha lisa. Os dados utilizados foram obtidos em modelo experimental, construído no Laboratório de Obras Hidráulicas (LOH) do Instituto de Pesquisas Hidráulicas (IPH-UFRGS), através de transdutores de pressões fixados junto ao fundo do canal de ensaios para diversas vazões, considerando, além de bacia tipo I, diferentes tamanhos de soleira terminal, situadas em diferentes posições do canal. / Stepped spillways have become a good option in dams for ease of construction and especially to present a significant dissipation of energy throughout the spillway chute, which causes that the parcel of energy to be dissipated by hydraulic jump downstream of dam decreases, causing a significant reduction in the dimensions of the stilling basin structure. The application of end sill in stilling basins causes a better distribution of speeds and better behavior of the fluctuation of pressure along the basin and downstream, thus increasing their performance in energy dissipation. The combination of these two forms of dissipation (stepped spillway and stilling basin with end sill) can be used as an economical and safe solution, however, the sizing of these structures hindered by a lack of criteria and information, especially regarding the ideal size and position for design of an end sill. In this study the data mean pressures and pressure fluctuations within the basin and downstream of the end sill were analyzed, being presented methodologies for design the size and position of a sill as a function of the Froude number of the input of the hydraulic jump. A methodology for analysis of mean pressure in type I basin (without sill) is also being presented, and a comparison of the behavior of efforts in basin with and without end sill, with stepped spillway and flat spillway chute. The data were obtained in an experimental model built at the Laboratory of Hydraulic Works (LOH) at the Institute of Hydraulic Research (IPH-UFRGS), through pressure transducers attached at the bottom of the test channel for various flow rates, considering, in addition of type I basin, different sizes of end sill at different positions of the channel.

This study, which includes both experimental and numerical-modelling components, investigates the potentially dangerous conditions that can often occur when low-head dams (or weirs) are overtopped and ‘submerged’-type hydraulic jumps subsequently form downstream of them. The combination of high local turbulence levels, air entrainment, and strong surface currents associated with submerged jumps pose a significant risk to safety of boaters and swimmers. In this study, a wide range of flow regimes and different experimental conditions (i.e. crest length and downstream apron elevation) were considered. The experimental phase involved physical model testing to determine: (i) the hydraulic conditions that govern submerged jump formation, and (ii) the hydrodynamic characteristics of the submerged vortex. The numerical model, developed using OpenFOAM, was validated with the obtained experimental data. This research seeks to help develop improved guidelines for the design and safe operation of low-head dams. The experimental phase of the study involved physical model testing to determine: (i) the hydraulic conditions that govern submerged jump formation, and (ii) the hydrodynamic characteristics of the submerged vortex. The numerical modelling work involved using interFoam (OpenFOAM toolbox) for simulating the experimental results. InterFoam is an Eulerian 3-D solver for multiphase incompressible fluids that employs the Volume of Fluid approach (VOF) to capture the water-air interface. The developed numerical model was subsequently validated using the experimental data collected and processed by the author of this study. The range of tailwater depths associated with submerged hydraulic jump formation is dramatically reduced when a broad-crested weir is coupled with an elevated downstream apron, especially under high flow rate conditions. However sharp-crested weirs induced vortices which displayed reduced velocities and decreased spatial development, which were judged to be safer than broad crest lengths under the same discharge conditions. The classical formulation for the degree of submergence was not explicative when used to evaluate “how submerged the vortex was”. Consequently, a new normalized formulation which compares the local tailwater depth to the lower and upper tailwater limits for the submerged hydraulic jump is proposed. The numerical model developed for this study demonstrated the existence of residual turbulent kinetic energy at downstream sections located within the vortex’s extension, at instants coinciding with the presence of a fully formed roller. This turbulent energy is arguably responsible for the stationary nature of the vortex under constant flow conditions. Residual vertical and horizontal velocities at points located within the vortex’s domain are indicative of the existence of the free surface current.

While there has been a great deal of research on air entrainment at hydraulic jumps within closed conduits, very little of the research has specifically addressed size and temperature scale effects. Influences from jump location and changing length characteristics on air entrainment have also received little attention from past research. To determine the significance of size-scale effects of air entrained by hydraulic jumps in closed conduits, air flow measurements were taken in four different-sized circular pipe models with similar Froude numbers. Each of the pipe models sloped downward and created identical flow conditions that differed only in size. Additionally, specific measurements were taken in one of the pipe models with various water temperatures to identify any effects from changing fluid properties. To determine the significance of the effects of changed length characteristics on air demand, air flow measurements were taken with hydraulic jumps at multiple locations within a circular pipe with two different air release configurations at the end of the pipe. Results showed that air demand was not affected by the size of the model. All together, the data from four different pipe models show that size-scale effects of air entrained into hydraulic jumps within closed conduits are negligible. However, it was determined that air entrainment was significantly affected by the water temperature. Water at higher temperatures entrained much less air than water at lower temperatures. Hydraulic jump location results showed that for both configurations the percentage of air entrainment significantly increased as the hydraulic jump occurred near the point of air release downstream. As the jump occurred nearer to the end of the pipe, its length characteristics were shortened and air demand increased. However, jump location was only a significant factor until the jump occurred some distance upstream where the length characteristics were not affected. Upstream of this location the air demand was dependent only on the Froude number immediately upstream of the jump.

京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第17877号 / 工博第3786号 / 新制||工||1579(附属図書館) / 30697 / 京都大学大学院工学研究科都市社会工学専攻 / (主査)教授 角 哲也, 教授 牛島 省, 准教授 竹門 康弘, 准教授 Sameh Ahmed Kantoush / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DGAM

In order to predict hydraulic jump characteristics for channel design, the jump height may be determined by calculating the subcritical sequent depth from momentum theory. In closed conduits, however, outlet submergence may fill the conduit entirely before the expected sequent depth is reached. This is called an incomplete or pressure jump (as opposed to a complete or free-surface jump), because pressure flow conditions prevail downstream. Since the momentum equation involves terms for the top width, area, and centroid of flow, the subcritical sequent depth is a function of the conduit shape in addition to the upstream depth and Froude number. This paper reviews momentum theory as applicable to closed-conduit hydraulic jumps and presents general solutions to the sequent depth problem for four commonly-shaped conduits: rectangular, circular, elliptical, and pipe arch. It also provides a numerical solution for conduits of any shape, as defined by the user. The solutions conservatively assume that the conduits are prismatic, horizontal, and frictionless within the jump length; that the pressure is hydrostatic and the velocity is uniform at each end of the jump; and that the effects of air entrainment and viscosity are negligible. The implications of these assumptions are briefly discussed. It was found that these solutions may be applied successfully to determine the subcritical sequent depth for hydraulic jumps in closed conduits of any shape or size. In practice, this may be used to quantify jump size, location, and energy dissipation.

The object of this work is to explore the influence superhydrophobic (SH) surfaces exert in laminar jet impingement and when they are combined with riblets in turbulent channel flow. A SH surface generates an apparent slip due to the combination of micropatterning and chemical hydrophobicity. Because of surface tension, water does not enter the cavities between the features, increasing the contact angle of a water droplet on the surface and reducing the liquid-solid contact area. An analysis based on the integral momentum approach of Karman and Pohlhausen is presented that predicts jet impingement behavior on SH surfaces. The model is first applied to the scenario where the slip at the surface is isotropic and a downstream depth is imposed such that a circular hydraulic jump occurs. The model predicts the thin film parameters downstream of the jet and the radial location of the hydraulic jump. An increase in the hydraulic jump radius occurs as slip increases, momentum of the jet increases, or the downstream depth decreases. Modifications to the model are made for the scenario where the slip at the surface varies azimuthally, as would be the case for a surface patterned with microribs. The average behavior is similar, although now an elliptically shaped jump forms with the major axis aligned parallel to the rib/cavity structures. The ellipse eccentricity increases as the slip increases, the jet momentum increases, or the downstream depth decreases. Where there is no downstream depth imposed on SH surfaces, the thin film breaks up into droplets instead of forming a hydraulic jump. Further changes are made to the model to incorporate this behavior for isotropic and anisotropic surfaces resulting in circular and elliptically shaped breakups respectively. This work also explores SH surfaces with riblets in turbulent channel flow. Pressure drop measurements across surfaces exhibiting superhydrophobicity, riblets, and surfaces with both drag reducing mechanisms are presented. The SH surface reduces drag because the effective surface area is reduced and riblets are able to reduce drag by dampening the spanwise turbulence. Photolithography was used to fabricate all surface types. An aluminum channel with a control and a test section was used for testing. Pressure transducers recorded the pressure drop across smooth silicon wafers and patterned test surfaces simultaneously allowing for computation of the friction factors.