Animais que nadam ou voam apresentam uma coordenação de movimentos similar que garante uma interação ótima de seus corpos com o escoamento gerando máxima eficiência propulsiva devido a interação dos vórtices liberados. O grupamento adimensional da mecânica dos fluidos que avalia esta coordenação é o número de Strouhal. Este estudo visa verificar se seres humanos seriam capazes de utilizar desta coordenação para nadar de forma mais rápida e eficiente. Para isso, foram analisadas as influencias antropométricas, de habilidade, desempenho, sexo e idade na possível utilização desta coordenação. Foram filmados 144 participantes de ambos os sexos, entre 12 e 53 anos e diferentes níveis de habilidade, enquanto nadavam crawl em máxima velocidade de forma livre, com limitação de velocidade e apenas com ação de pernas. Estes dados permitiram avaliar as condições do escoamento, o arrasto, o índice de coordenação, o número de Strouhal e a coordenação entre membros dos participantes. Embora as diferenças entre sexos e idades já reportadas na literatura a respeito do índice de coordenação e do arrasto tenham sido confirmadas, estas características parecem não afetar a coordenação entre membros e o número de Strouhal de forma a não influenciar o possível mecanismo propulsivo relacionado à interação dos vórtices. Nadadores mais habilidosos parecem tentar coordenar seus nados em um valor de Strouhal de aproximadamente 0,5, com um número fixo de pernadas dentro dos ciclos de braçadas e com movimentos de braços e pernas sincronizados. Esta coordenação constante parece privilegiar a ocorrência da finalização de uma pernada durante uma fase propulsiva crítica da braçada sustentando a possibilidade da interação das ações propulsivas. Quando submetidos a uma condição com limitação de velocidade os nadadores mais habilidosos buscaram alterar suas técnicas. Eles apresentaram maior amplitude de pernada, porém não foi possível determinar se isso ocorreu devido ao maior arrasto ou a uma tentativa de aumentar o número de Strouhal. O mesmo aumento da amplitude de pernada também foi observado para as condições com apenas propulsão de pernas, no entanto, para este caso, nadadores de todos os níveis identificaram a necessidade de alterar suas técnicas de pernadas. Estes resultados parecem sugerir que o aproveitamento da interação com vórtices não ocorreria em baixas velocidades e que apenas os nadadores mais habilidosos identificam a coordenação necessária para cada situação. Desta forma, o desempenho e experiência do nadador parecem constituir restritores para o aproveitamento da interação com vórtices. No entanto a partir de um determinado valor de número de Froude (velocidade normalizada pela raiz quadrada do produto entre estatura e a aceleração da gravidade), apenas a habilidade do nadador parece interferir nesta coordenação. O arrasto e as características antropométricas parecem não influenciar o número de Strouhal ou a coordenação entre membros / Flying and swimming animals presents a similar movement coordination that insure a optimal interaction between their bodies and the flow. This coordination generate high propulsive efficiency due to the interaction between shedding vortex. The dimensionless group used in fluid mechanics to evaluate this phenomenon is Strouhal number. This study aims to verify if the human beings are able to use this coordination to swim in a faster and more efficient way. For this purpose we analyzed the influence of anthropometric characteristics, ability, performance, sex and age in the possible use of the coordination mentioned above. 144 subjects of both sex, age between 12 and 53 years, and different ability levels were filmed while they swan front crawl in maximal velocity in three different conditions: free swimming, with velocity limitation and using legs action only. These data allowed evaluating the flow conditions, the drag force, the index of coordination, the Strouhal number and the coordination between limbs. Although differences between sex and age related to Index of coordination and drag reported previously have been confirmed, these characteristics seem not to affect the coordination between limbs and Strouhal number, in such a way, that the possible vortex interaction\'s propulsive mechanism would not be affected by sex and age. The most skilled swimmers seem to try to coordinate their movements to reach a Strouhal number about 0,5; with a fixed number of kick beats per stroke; and with a synchronized coordination between arms and legs. This coordination seems to lead to an occurrence of the ending of the kick beat in a critical propulsive phase of the stroke, which supports the possibility that there is an interaction between the propulsive actions of arms and legs. When the swimmers are exposed to a condition with velocity limitation, the most skilled of them tried to change their techniques. They raised their kick amplitude, however, it was not possible to determine if this raise happened due to the either higher drag force or to an attempt to raise the Strouhal number. The same kick amplitude raise was also observed on the legs propulsion condition, however, in this case, all swimmers were able to identify the need of change their techniques. These results suggest that the use of the interaction between vortex would not occur in low velocities, moreover, only the most skilled swimmers are able to identify the best coordination for each condition. In this way, the swimmer\'s performance and experience seem to be constraint for the use of the interaction between vortex. Nonetheless, since a Froude (V.(gl)-0.5) threshold was reached, only the swimmer\'s ability seems to affect this coordination. The drag and anthropometric characteristics seem not to affect Strouhal number or the limbs\' coordination

Discharge of brine wastewater produced from industrial plants into adjacent coastal water bodies is considered as a preferable and common method currently used in many offshore industrial plants. Therefore, it is important to carefully study the behavior of jets and their environmental impacts on water bodies close to the discharge points, especially when the density is different between the jets and the receiving water. The main goal of this study is to improve the understanding of the mixing behaviour of jet trajectories for positively (offset) and negatively (inclined) buoyant jets when density is considered a significant factor, and also to examine the accuracy of some RANS turbulence models and one type of artificial neural network in predicting jet trajectory behaviours. In the first part of this study, experiments using a PIV system for offset buoyant jets were conducted in order to study the effect of the density differences (due to salinity [nonthermal] or temperature [thermal]) between the discharge and the receiving water body on the jet behavior, and the results showed that the nonthermal jets behaved differently as compared to the thermal jets, even though the densimetric Froude numbers (Frd) and density differences (∆ρ) were similar. In addition, a Reynolds-averaged Navier-Stokes (RANS) numerical model was performed using open-source CFD code (OpenFOAM) with a developed solver (modified form of the pisoFoam solver). The realizable k-ε model showed the best prediction among the models. Secondly, an extensive experimental study of an inclined dense jet for two angles (15°and 52°) was conducted to study the effect of these angles on the jets’ geometrical characteristics in the presence of a wide range of densimetric Froude numbers as well as with different discharge densities. More experimental data were obtained for these angles to be added to the previous data for the purpose of calibrating, validating, and comparing the various numerical models for future studies. The results of these experiments are used to evaluate the performance of a type of artificial neural network method called the group method of data handling (GMDH), and the GMDH results are then compared with existing analytical solutions in order to prove the accuracy of the GMDH method in simulating mixing behaviors in water bodies. Thirdly, a comprehensive study on predicting the geometrical characteristics of inclined negatively-buoyant jests using GMDH approach was conducted. The superiority of this model was demonstrated statistically by comparing to several previous analytical models. The results obtained from this study confirm that the GMDH model was highly accurate and was the best among others for predicting the geometrical characteristics of inclined negatively-buoyant jests.

The shallow water system plays an important role in the numerical simulation of oceanic models, coastal flows and dam-break floods. Several kinds of source terms can be taken into account in this model, such as the influence of bottom topography, Manning friction effects and Coriolis force. For large scale oceanic phenomena, the Coriolis force due to the Earth’s rotation plays a central role since the atmospheric or oceanic circulations are frequently observed around the so-called geostrophic equilibrium which corresponds to the balance between the pressure gradient and the Coriolis source term. The ability of numerical schemes to well capture the lake at rest, has been widely studied. However, the geostrophic equilibrium issue, including the divergence free constraint on the velocity, is much more complex and only few works have been devoted to its preservation. In this manuscript, we design finite volume schemes that preserve the discrete geostrophic equilibriuminordertoimprovesignificantlytheaccuracyofnumericalsimulationsofperturbations around this equilibrium. We first develop collocated and staggered schemes on rectangular and triangular meshes for a linearized model of the original shallow water system. The crucial common point of the various methods is to adapt and combine several strategies known as the Apparent Topography, the Low Mach and the Divergence Penalisation methods, in order to handle correctly the numerical diffusions involved in the schemes on different cell geometries, so that they do not destroy geostrophic equilibria. Finally, we extend these strategies to the non-linear case and show convincing numerical results. / Le système de Saint-Venant joue un rôle important dans la simulation de modèles océaniques, d’écoulements côtiers et de ruptures de barrages. Plusieurs sortes de termes sources peuvent être pris en compte dans ce modèle, comme la topographie, les effets de friction de Manning et la force de Coriolis. Celle-ci joue un rôle central dans les phénomènes à grande échelle spatiale car les circulations atmosphériques ou océaniques sont souvent observées autour de l’équilibre géostrophique qui correspond à l’équilibre du gradient de pression et de cette force. La capacité des schémas numériques à bien reproduire le lac au repos a été largement étudiée; en revanche, la question de l’équilibre géostrophique (incluant la contrainte de vitesse à divergence nulle) est beaucoup plus complexe et peu de travaux lui ont été consacrés. Dans cette thèse, nous concevons des schémas volumes finis qui préservent les équilibres géostrophiques discrets dans le but d’améliorer significativement la précision des simulations numériques de perturbations autour de ces équilibres. Nous développons tout d’abord des schémas colocalisés et décalés sur des maillages rectangulaires ou triangulaires pour une linéarisation du modèle d’origine. Le point commun décisif de ces méthodes est d’adapter et de combiner les stratégies dites "topographie apparente", "bas Mach" et "pénalisation de divergence" pour contrôler l’effet de la diffusion numérique contenue dans les schémas, de telle sorte qu’elle ne détruise pas les équilibres géostrophiques. Enfin, nous étendons ces stratégies au cas non-linéaire et montrons des résultats prometteurs.

In this study, the effects of submergence on local scour in a uniform cohesionless sediment bed by a plane turbulent wall jet and the resulting flow field were investigated experimentally. Here, submergence is defined as the ratio of the tailwater depth to the thickness of the jet at its origin. The main focus was to determine scour dimensions at an asymptotic state, examine whether there was similarity in the velocity profiles for the flow in the scour hole, and to determine the growth of the length scales and decay of the maximum velocity of the jet. Also examined were the relationships between the scales for the velocity field in the scour hole and the scour hole size.<p>In the experiments, the range of submergence was varied from 3-17.5, whereas the range of densimetric Froude number and the ratio of the boundary roughness to the gate opening (relative boundary roughness) were varied from 4.4-6.9 and 0.085-0.137 respectively. The velocity field in the scour hole at asymptotic state was measured using a SonTek 16-MHz MicroADV. Time development of the characteristic dimensions of the scour hole was also measured.<p>The dimensions of the scour hole were found to increase with increasing submergence for all experiments with a bed-jet flow regime. In the bed-jet flow regime, the jet remains near the bed throughout the scouring process. Further, the time development of the scour hole dimensions were observed to increase approximately linearly with the logarithm of time up to a certain time before the beginning of asymptotic state for experiments with either the bed-jet or surface-jet flow regimes.<p> The flow field results showed that the velocity profiles in the region of forward flow and the recirculating region above the jet were similar in shape up to about the location of the maximum scour depth. Relationships describing this velocity profile, including its velocity and length scales, were formulated. The decay rate of the maximum velocity, the growth of the jet half-width, and the boundary layer thickness were also studied. The decay and the growth rate of the jet length scales were found to be influenced by the submergence ratio, densimetric Froude number, and the relative boundary roughness.<p>Two distinct stages in the decay of the maximum streamwise velocity, with distance along the direction of flow, were observed for the jet flows having a bed-jet flow regime. The first stage of velocity decay was characterized by a curvilinear decay of velocity, which followed that of a wall jet on a smooth, rigid bed for streamwise distance approximately equal to 2L. For the surface-jet flow regime, the decay of velocity was observed to be similar to that of a free-jump on a smooth, rigid bed for a streamwise distance approximately equal to L. Here, L is defined as the streamwise distance measured from the end of the rigid apron to where the maximum streamwise velocity in the jet is half the velocity of the jet at the end of apron. The streamwise maximum velocity of the jet was then seen to increase in what was called the recovery zone.<p>A relationship for the streamwise decay of the maximum velocity within the scour hole is proposed. Moreover, other scales representing the flow inside the scour hole such as the streamwise distance from the end of the apron to where the streamwise maximum velocity starts to deviate from curvilinear to linear decay and the streamwise distance to where maximum streamwise velocity starts to increase are suggested. Some new results on the velocity distribution for the reverse flow for a bed-jet flow regime are also presented. Finally, some dimensionless empirical equations describing the relationship between the jet scales for the jet flow in a scour hole and the scour hole size are given.

In this study, the effects of submergence on local scour in a uniform cohesionless sediment bed by a plane turbulent wall jet and the resulting flow field were investigated experimentally. Here, submergence is defined as the ratio of the tailwater depth to the thickness of the jet at its origin. The main focus was to determine scour dimensions at an asymptotic state, examine whether there was similarity in the velocity profiles for the flow in the scour hole, and to determine the growth of the length scales and decay of the maximum velocity of the jet. Also examined were the relationships between the scales for the velocity field in the scour hole and the scour hole size.<p>In the experiments, the range of submergence was varied from 3-17.5, whereas the range of densimetric Froude number and the ratio of the boundary roughness to the gate opening (relative boundary roughness) were varied from 4.4-6.9 and 0.085-0.137 respectively. The velocity field in the scour hole at asymptotic state was measured using a SonTek 16-MHz MicroADV. Time development of the characteristic dimensions of the scour hole was also measured.<p>The dimensions of the scour hole were found to increase with increasing submergence for all experiments with a bed-jet flow regime. In the bed-jet flow regime, the jet remains near the bed throughout the scouring process. Further, the time development of the scour hole dimensions were observed to increase approximately linearly with the logarithm of time up to a certain time before the beginning of asymptotic state for experiments with either the bed-jet or surface-jet flow regimes.<p> The flow field results showed that the velocity profiles in the region of forward flow and the recirculating region above the jet were similar in shape up to about the location of the maximum scour depth. Relationships describing this velocity profile, including its velocity and length scales, were formulated. The decay rate of the maximum velocity, the growth of the jet half-width, and the boundary layer thickness were also studied. The decay and the growth rate of the jet length scales were found to be influenced by the submergence ratio, densimetric Froude number, and the relative boundary roughness.<p>Two distinct stages in the decay of the maximum streamwise velocity, with distance along the direction of flow, were observed for the jet flows having a bed-jet flow regime. The first stage of velocity decay was characterized by a curvilinear decay of velocity, which followed that of a wall jet on a smooth, rigid bed for streamwise distance approximately equal to 2L. For the surface-jet flow regime, the decay of velocity was observed to be similar to that of a free-jump on a smooth, rigid bed for a streamwise distance approximately equal to L. Here, L is defined as the streamwise distance measured from the end of the rigid apron to where the maximum streamwise velocity in the jet is half the velocity of the jet at the end of apron. The streamwise maximum velocity of the jet was then seen to increase in what was called the recovery zone.<p>A relationship for the streamwise decay of the maximum velocity within the scour hole is proposed. Moreover, other scales representing the flow inside the scour hole such as the streamwise distance from the end of the apron to where the streamwise maximum velocity starts to deviate from curvilinear to linear decay and the streamwise distance to where maximum streamwise velocity starts to increase are suggested. Some new results on the velocity distribution for the reverse flow for a bed-jet flow regime are also presented. Finally, some dimensionless empirical equations describing the relationship between the jet scales for the jet flow in a scour hole and the scour hole size are given.

The ladle furnace process is an important process in the steel manufacturing industry. The purpose of this process is to optimize the composition of the elements in the melt as well as to homogenize the temperature in the liquid. It is common practice to model this process using smaller water models. In order to accurately scale these models a variety of criteria and scaling factors are needed. The central phenomenon which all else is derived from is the two-phase gas plume dominating the fluid flows. The plume, and its dependant parameters are difficult to define. Which ones ought to be used and how to use them has not been standardized. Concerns have been raised whether the most common method of scaling is even applicable in ladle metallurgy. This report gives an account for studies concerning these variables and their effect on the subject. The objective of this report is to highlight ways to improve these simulations with respect to debated parameters. The conclusion of this study points out the reasons for why these variables may be of importance for the modeling of the ladle furnace process. It also specifically mentions future work that should be conducted in order to provide deeper knowledge of thedifferent parameters affecting the method of modeling. / Skänkmetallurgin är en viktigt process inom stålindustrin. Syftet med denna process är att optimera den kemiska sammansättningen i smältan och att homogenisera temperaturen i vätskan. Det är vanligt att modelera denna process med hjälp av vattenmodeller. För att träffsäkert skala dessa modeller krävs en mängd kriterier och skal-faktorer. Det mest centrala fenomenet, utifrån vilket allt annat kan härledas, är två-fas gasplymen som dominerar flödena i skänken. Plymen och dess beroende parametrar är svåra att definera. Vilka som bör användas och hur de används har inte standardiserats. Oro har väckts över om den vanligaste skalningsmetoden ens går att använda i skänkmetallurgi. Denna rapport redogör för studier rörande dessa variabler och deras påverkan på ämnet. Syftet med denna rapport är att belysa olika tillvägagångssätt till att förbättra dessa simulationer med hänsyn till debaterade parametrar. Slutsatsen för denna studie lyfter fram anledningarna till varför dessa variabler är av vikt för modellering för skänkmetallurgin. Även framtida arbete som bör utföras föratt ge djupare förståelse för de olika parametrarna belyses.

Hydrodynamic drag testing was conducted for eleven different configurations of IsoTruss® lattice structures. Flow visualization of prototypical IsoTruss® wind towers was also performed using Particle Image Velocimetry instrumentation. The drag test and flow visualization specimens included 6-node and 8-node configurations, single and double-grid geometries, thick and thin member sizes, smooth and rough surface finishes, a helical-only structure, and a smaller outer diameter test specimen. Three sets of hydrodynamic drag tests were conducted in a closed-circuit water tunnel: 1) orientation drag tests, 2) water velocity drag tests, and 3) height variation drag tests. The orientation drag tests measured the hydrodynamic drag force of the IsoTruss® test specimens at five different orientations with an average water velocity of 1.43 mph (0.64 m/s). The water velocity drag tests measured the maximum drag for each IsoTruss® test specimen at water velocities ranging from 0.0 to an average 1.43 mph (0.64 m/s). Based on the average outer structure diameter of the IsoTruss® specimens, the water velocities corresponded to a Reynolds number range of 7,000 to 80,000. Based on the average member diameter, the corresponding Reynolds number spanned from 600 to 3,000. In addition, the height variation drag tests were performed by vertically extracting the IsoTruss® test specimens from the test section at four different immersed height levels, with a maximum immersed height of 7.22 in (18.1 cm). The height variation testing corresponded to a Froude number range of 0.40 to 0.90. The IsoTruss® specimens exhibited an average lower drag coefficient based on the projected cylindrical area than the smooth circular cylinder data throughout the Reynolds number and Froude number ranges. The drag coefficient based on solid member area showed no correlation when shown as a function of the solidity ratio. However, for the drag coefficient calculated from the solid member projected area, the data for all IsoTruss® test specimens collapsed to a 2nd order polynomial when presented as a function of the Froude number, with an R2 of 0.99. Conversely, no significant relationship was shown when the drag coefficient based on projected cylindrical area was plotted versus the Froude number. The hydrodynamic data was compared to aerodynamic data, and the orientation testing results were identical. The hydrodynamic data differed by an average of 17% compared to the non-dimensional aerodynamic results. The flow visualization research revealed that the velocity returned to 2% of the freestream velocity at 1.24 diameters upstream from the prototypical IsoTruss® wind tower. Likewise, the velocity returned to a maximum 4% of the freestream velocity at 0.94 diameters sidestream of the model IsoTruss® wind tower.

The main goal of this study is to define the technique to be used to assess the aggradation (by bed load) and degradation (of sediments) of the recessed as well as non-recessed stilling basins of rectangular cross section; when the hydraulic jump occurs in the stilling basin where the submergence coefficient equals 1,05. It consists of two parts, theoretical and experimental. The theoretical part summarizes the related theory on a hydraulic jump, design of a stilling basin, an incipient motion of sediment, an assessment of silting and scouring of the stilling basin. The second part, the actual experiment, led to the determination of the critical values essential for the assessment. For the evaluation, the nondimensional shear stress and the densimetric Froude number were used.

Gas stirring is currently the most commonly used method of homogenizing liquid steel in commercial processes. However, due to the harsh environment during the process, physical models built out of e.g. plexiglass have been used to easier understand the complex phenomenon occurring in the process. The models are also used to optimize stirring conditions and estimate mixing times. Instead of liquid steel, water has been used for modelling, to increase safety and reduce costs. The water models are usually scaled down to sizes that are easier to handle. Scaling correctly requires fulfilling commonly used criteria and dimensionless numbers. This report investigated the accuracy of these dimensionless numbers and the relations commonly used for scaling. Existing studies and relations were evaluated, and the theoretically best suitable scaling equations were tested. Three bottom blown vessels were built, in order to test the existing relations. By applying scaling criteria and calculating gas flow rates accordingly, the correlation between theoretical mixing time and measured mixing time could be investigated. This thesis concluded that the correlation between the measured mixing times was not significant, however, by implementing the scale factor λ1/2 a better approximation seems to be given. / Gasomrörning är för tillfället den vanligaste metoden som används för att homogenisera flytande stål i kommersiella processer. På grund av de svåra förhållandena under processen har fysiska modeller, byggda av exempelvis plexiglas, använts. Detta för att enklare förstå de komplexa fenomen som uppstår under processen. Modellerna används också för att optimera omrörningsförhållandena och för att uppskatta blandningstider. Istället för flytande stål har vatten använts vid modellering för att öka säkerheten och minska kostnaderna. Vattenmodellerna är vanligtvis nedskalade till storlekar som är lättare att hantera. En korrekt skalning kräver att vanliga kriterier och dimensionslösa tal uppfylls. Denna rapport undersökte noggrannheten för dessa dimensionslösa tal samt relationer som vanligtvis används vid skalning. Befintliga studier och relationer utvärderades och de teoretiskt mest lämpliga skalningsekvationerna testades. Tre stycken kärl med bottenblåsning byggdes för att testa dessa relationer. Genom att tillämpa skalningskriterier och beräkna gasflödeshastigheterna, kunde korrelationen mellan de teoretiska och uppmätta blandningstiderna undersökas. Denna avhandling drog slutsatsen att korrelationen mellan de uppmätta blandningstiderna inte var signifikant. Dock verkade en bättre approximation fås när skalfaktorn λ1/2 implementerades.